# BigInteger 結構

## 定義

``public value class BigInteger : IComparable, IComparable<System::Numerics::BigInteger>, IEquatable<System::Numerics::BigInteger>, IFormattable``
``public struct BigInteger : IComparable, IComparable<System.Numerics.BigInteger>, IEquatable<System.Numerics.BigInteger>, IFormattable``
``````[System.Serializable]
public struct BigInteger : IComparable, IComparable<System.Numerics.BigInteger>, IEquatable<System.Numerics.BigInteger>, IFormattable``````
``````type BigInteger = struct
interface IFormattable``````
``````[<System.Serializable>]
type BigInteger = struct
interface IFormattable``````
``````Public Structure BigInteger
Implements IComparable, IComparable(Of BigInteger), IEquatable(Of BigInteger), IFormattable``````

BigInteger

## 備註

BigInteger 類型是不可變的類型，表示任意大的整數，其值在理論上沒有上限或下限。The BigInteger type is an immutable type that represents an arbitrarily large integer whose value in theory has no upper or lower bounds. 類型的成員會與 BigInteger 其他整數類型的成員緊密地平行 Byte ， (、、、、、、 Int16 Int32 Int64 SByte UInt16 UInt32UInt64 類型) 。The members of the BigInteger type closely parallel those of other integral types (the Byte, Int16, Int32, Int64, SByte, UInt16, UInt32, and UInt64 types). 此類型與中的其他整數類資料類型不同 .NET Framework.NET Framework ，其具有以和屬性工作表示的範圍 `MinValue` `MaxValue`This type differs from the other integral types in the .NET Framework.NET Framework, which have a range indicated by their `MinValue` and `MaxValue` properties.

### 具現化 BigInteger 物件Instantiating a BigInteger Object

• 您可以使用 `new` 關鍵字，並提供任何整數或浮點值做為函式的參數 BigIntegerYou can use the `new` keyword and provide any integral or floating-point value as a parameter to the BigInteger constructor. (浮點數會在指派給之前截斷 BigInteger 。 ) 下列範例說明如何使用 `new` 關鍵字來具現化 BigInteger 值。(Floating-point values are truncated before they are assigned to the BigInteger.) The following example illustrates how to use the `new` keyword to instantiate BigInteger values.

``````BigInteger bigIntFromDouble = new BigInteger(179032.6541);
Console.WriteLine(bigIntFromDouble);
BigInteger bigIntFromInt64 = new BigInteger(934157136952);
Console.WriteLine(bigIntFromInt64);
// The example displays the following output:
//   179032
//   934157136952
``````
``````Dim bigIntFromDouble As New BigInteger(179032.6541)
Console.WriteLine(bigIntFromDouble)
Dim bigIntFromInt64 As New BigInteger(934157136952)
Console.WriteLine(bigIntFromInt64)
' The example displays the following output:
'   179032
'   934157136952
``````
• BigInteger只要值是整數類資料類型，您就可以宣告變數，並為它指派一個值，就像您對任何數值型別一樣。You can declare a BigInteger variable and assign it a value just as you would any numeric type, as long as that value is an integral type. 下列範例會使用指派來建立的 BigIntegerInt64The following example uses assignment to create a BigInteger value from an Int64.

``````long longValue = 6315489358112;
BigInteger assignedFromLong = longValue;
Console.WriteLine(assignedFromLong);
// The example displays the following output:
//   6315489358112
``````
``````Dim longValue As Long = 6315489358112
Dim assignedFromLong As BigInteger = longValue
Console.WriteLine(assignedFromLong)
' The example displays the following output:
'   6315489358112
``````
• 如果您轉換值或先進行轉換，您可以將十進位或浮點值指派給 BigInteger 物件。You can assign a decimal or floating-point value to a BigInteger object if you cast the value or convert it first. 下列範例會在 c # 中明確地轉換 () ，或將 Visual Basic) a 和值中的 (轉換 Double DecimalBigIntegerThe following example explicitly casts (in C#) or converts (in Visual Basic) a Double and a Decimal value to a BigInteger.

``````BigInteger assignedFromDouble = (BigInteger) 179032.6541;
Console.WriteLine(assignedFromDouble);
BigInteger assignedFromDecimal = (BigInteger) 64312.65m;
Console.WriteLine(assignedFromDecimal);
// The example displays the following output:
//   179032
//   64312
``````
``````Dim assignedFromDouble As BigInteger = CType(179032.6541, BigInteger)
Console.WriteLine(assignedFromDouble)
Dim assignedFromDecimal As BigInteger = CType(64312.65d, BigInteger)
Console.WriteLine(assignedFromDecimal)
' The example displays the following output:
'   179032
'   64312
``````

• 您可以使用 `new` 關鍵字，並將任何大小的位元組陣列提供給此函式 BigInteger.BigIntegerYou can use the `new` keyword and provide a byte array of any size to the BigInteger.BigInteger constructor. 例如：For example:

``````byte[] byteArray = { 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0};
BigInteger newBigInt = new BigInteger(byteArray);
Console.WriteLine("The value of newBigInt is {0} (or 0x{0:x}).", newBigInt);
// The example displays the following output:
//   The value of newBigInt is 4759477275222530853130 (or 0x102030405060708090a).
``````
``````Dim byteArray() As Byte = { 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0}
Dim newBigInt As New BigInteger(byteArray)
Console.WriteLine("The value of newBigInt is {0} (or 0x{0:x}).", newBigInt)
' The example displays the following output:
'   The value of newBigInt is 4759477275222530853130 (or 0x102030405060708090a).
``````
• 您可以呼叫 ParseTryParse 方法，將數位的字串表示轉換成 BigIntegerYou can call the Parse or TryParse methods to convert the string representation of a number to a BigInteger. 例如：For example:

``````string positiveString = "91389681247993671255432112000000";
string negativeString = "-90315837410896312071002088037140000";
BigInteger posBigInt = 0;
BigInteger negBigInt = 0;

try {
posBigInt = BigInteger.Parse(positiveString);
Console.WriteLine(posBigInt);
}
catch (FormatException)
{
Console.WriteLine("Unable to convert the string '{0}' to a BigInteger value.",
positiveString);
}

if (BigInteger.TryParse(negativeString, out negBigInt))
Console.WriteLine(negBigInt);
else
Console.WriteLine("Unable to convert the string '{0}' to a BigInteger value.",
negativeString);

// The example displays the following output:
//   9.1389681247993671255432112E+31
//   -9.0315837410896312071002088037E+34
``````
``````Dim positiveString As String = "91389681247993671255432112000000"
Dim negativeString As string = "-90315837410896312071002088037140000"
Dim posBigInt As BigInteger = 0
Dim negBigInt As BigInteger = 0

Try
posBigInt = BigInteger.Parse(positiveString)
Console.WriteLine(posBigInt)
Catch e As FormatException
Console.WriteLine("Unable to convert the string '{0}' to a BigInteger value.", _
positiveString)
End Try

If BigInteger.TryParse(negativeString, negBigInt) Then
Console.WriteLine(negBigInt)
Else
Console.WriteLine("Unable to convert the string '{0}' to a BigInteger value.", _
negativeString)
End If
' The example displays the following output:
'   9.1389681247993671255432112E+31
'   -9.0315837410896312071002088037E+34
``````
• 您可以 `static` `Shared` 在 Visual Basic) 方法中呼叫 (BigInteger ，在數值運算式上執行某些作業，並傳回計算 BigInteger 結果。You can call a `static` (`Shared` in Visual Basic) BigInteger method that performs some operation on a numeric expression and returns a calculated BigInteger result. 下列範例會藉由 cube UInt64.MaxValue ，並將結果指派給來執行此動作 BigIntegerThe following example does this by cubing UInt64.MaxValue and assigning the result to a BigInteger.

``````BigInteger number = BigInteger.Pow(UInt64.MaxValue, 3);
Console.WriteLine(number);
// The example displays the following output:
//    6277101735386680762814942322444851025767571854389858533375
``````
``````Dim number As BigInteger = BigInteger.Pow(UInt64.MaxValue, 3)
Console.WriteLine(number)
' The example displays the following output:
' 6277101735386680762814942322444851025767571854389858533375
``````

### 可變動性和 BigInteger 結構Mutability and the BigInteger Structure

``````BigInteger number = BigInteger.Multiply(Int64.MaxValue, 3);
number++;
Console.WriteLine(number);
``````
``````Dim number As BigInteger = BigInteger.Multiply(Int64.MaxValue, 3)
number += 1
Console.WriteLine(number)
``````

.NET Framework 中的其他數數值型別也是不可變的。The other numeric types in the .NET Framework are also immutable. 不過，因為 BigInteger 類型沒有上限或下限，所以其值可能會變得非常大，而且對效能有顯著的影響。However, because the BigInteger type has no upper or lower bounds, its values can grow extremely large and have a measurable impact on performance.

``````BigInteger number = Int64.MaxValue ^ 5;
int repetitions = 1000000;
// Perform some repetitive operation 1 million times.
for (int ctr = 0; ctr <= repetitions; ctr++)
{
// Perform some operation. If it fails, exit the loop.
if (! SomeOperationSucceeds()) break;
// The following code executes if the operation succeeds.
number++;
}
``````
``````Dim number As BigInteger = Int64.MaxValue ^ 5
Dim repetitions As Integer = 1000000
' Perform some repetitive operation 1 million times.
For ctr As Integer = 0 To repetitions
' Perform some operation. If it fails, exit the loop.
If Not SomeOperationSucceeds() Then Exit For
' The following code executes if the operation succeeds.
number += 1
Next
``````

``````BigInteger number = Int64.MaxValue ^ 5;
int repetitions = 1000000;
int actualRepetitions = 0;
// Perform some repetitive operation 1 million times.
for (int ctr = 0; ctr <= repetitions; ctr++)
{
// Perform some operation. If it fails, exit the loop.
if (! SomeOperationSucceeds()) break;
// The following code executes if the operation succeeds.
actualRepetitions++;
}
number += actualRepetitions;
``````
``````Dim number As BigInteger = Int64.MaxValue ^ 5
Dim repetitions As Integer = 1000000
Dim actualRepetitions As Integer = 0
' Perform some repetitive operation 1 million times.
For ctr As Integer = 0 To repetitions
' Perform some operation. If it fails, exit the loop.
If Not SomeOperationSucceeds() Then Exit For
' The following code executes if the operation succeeds.
actualRepetitions += 1
Next
number += actualRepetitions
``````

### 使用位元組陣列和十六進位字串Working with Byte Arrays and Hexadecimal Strings

``````BigInteger number = BigInteger.Pow(Int64.MaxValue, 2);
Console.WriteLine(number);

// Write the BigInteger value to a byte array.
byte[] bytes = number.ToByteArray();

// Display the byte array.
foreach (byte byteValue in bytes)
Console.Write("0x{0:X2} ", byteValue);
Console.WriteLine();

// Restore the BigInteger value from a Byte array.
BigInteger newNumber = new BigInteger(bytes);
Console.WriteLine(newNumber);
// The example displays the following output:
//    8.5070591730234615847396907784E+37
//    0x01 0x00 0x00 0x00 0x00 0x00 0x00 0x00 0xFF 0xFF 0xFF 0xFF 0xFF 0xFF 0xFF 0x3F
//
//    8.5070591730234615847396907784E+37
``````
``````Dim number As BigInteger = BigInteger.Pow(Int64.MaxValue, 2)
Console.WriteLine(number)

' Write the BigInteger value to a byte array.
Dim bytes() As Byte = number.ToByteArray()

' Display the byte array.
For Each byteValue As Byte In bytes
Console.Write("0x{0:X2} ", byteValue)
Next
Console.WriteLine()

' Restore the BigInteger value from a Byte array.
Dim newNumber As BigInteger = New BigInteger(bytes)
Console.WriteLine(newNumber)
' The example displays the following output:
'    8.5070591730234615847396907784E+37
'    0x01 0x00 0x00 0x00 0x00 0x00 0x00 0x00 0xFF 0xFF 0xFF 0xFF 0xFF 0xFF 0xFF 0x3F
'
'    8.5070591730234615847396907784E+37
``````

``````short originalValue = 30000;
Console.WriteLine(originalValue);

// Convert the Int16 value to a byte array.
byte[] bytes = BitConverter.GetBytes(originalValue);

// Display the byte array.
foreach (byte byteValue in bytes)
Console.Write("0x{0} ", byteValue.ToString("X2"));
Console.WriteLine();

// Pass byte array to the BigInteger constructor.
BigInteger number = new BigInteger(bytes);
Console.WriteLine(number);
// The example displays the following output:
//       30000
//       0x30 0x75
//       30000
``````
``````Dim originalValue As Short = 30000
Console.WriteLine(originalValue)

' Convert the Int16 value to a byte array.
Dim bytes() As Byte = BitConverter.GetBytes(originalValue)

' Display the byte array.
For Each byteValue As Byte In bytes
Console.Write("0x{0} ", byteValue.ToString("X2"))
Next
Console.WriteLine()

' Pass byte array to the BigInteger constructor.
Dim number As BigInteger = New BigInteger(bytes)
Console.WriteLine(number)
' The example displays the following output:
'       30000
'       0x30 0x75
'       30000
``````

BigInteger結構假設負數值是使用兩個補數標記法儲存的。The BigInteger structure assumes that negative values are stored by using two's complement representation. 由於 BigInteger 結構代表沒有固定長度的數值，因此，此函式一律會將 BigInteger(Byte[]) 陣列中最後一個位元組的最大位解釋為正負號位。Because the BigInteger structure represents a numeric value with no fixed length, the BigInteger(Byte[]) constructor always interprets the most significant bit of the last byte in the array as a sign bit. 若要防止函式 BigInteger(Byte[]) 混淆具有正值正負號和大小標記法之負值的二補數標記法，則位元組陣列中最後一個位元組的最大有效位通常會設定為值為0的額外位元組。To prevent the BigInteger(Byte[]) constructor from confusing the two's complement representation of a negative value with the sign and magnitude representation of a positive value, positive values in which the most significant bit of the last byte in the byte array would ordinarily be set should include an additional byte whose value is 0. 例如，0xC0 0xBD 0xF0 0xFF 是-1000000 或4293967296的位元組由大到小的十六進位標記法。For example, 0xC0 0xBD 0xF0 0xFF is the little-endian hexadecimal representation of either -1,000,000 or 4,293,967,296. 因為這個陣列中最後一個位元組的最大位是 on，所以此位元組陣列的值會 BigInteger(Byte[]) 以-1000000 的形式來解讀。Because the most significant bit of the last byte in this array is on, the value of the byte array would be interpreted by the BigInteger(Byte[]) constructor as -1,000,000. 若要具 BigInteger 現化，其值為正數，則必須將其元素為 0XC0 0XBD 0XF0 0xff 0x00 的位元組陣列傳遞至函式。To instantiate a BigInteger whose value is positive, a byte array whose elements are 0xC0 0xBD 0xF0 0xFF 0x00 must be passed to the constructor. 下列範例將說明這點。The following example illustrates this.

``````int negativeNumber = -1000000;
uint positiveNumber = 4293967296;

byte[] negativeBytes = BitConverter.GetBytes(negativeNumber);
BigInteger negativeBigInt = new BigInteger(negativeBytes);
Console.WriteLine(negativeBigInt.ToString("N0"));

byte[] tempPosBytes = BitConverter.GetBytes(positiveNumber);
byte[] positiveBytes = new byte[tempPosBytes.Length + 1];
Array.Copy(tempPosBytes, positiveBytes, tempPosBytes.Length);
BigInteger positiveBigInt = new BigInteger(positiveBytes);
Console.WriteLine(positiveBigInt.ToString("N0"));
// The example displays the following output:
//    -1,000,000
//    4,293,967,296
``````
``````Dim negativeNumber As Integer = -1000000
Dim positiveNumber As UInteger = 4293967296

Dim negativeBytes() As Byte = BitConverter.GetBytes(negativeNumber)
Dim negativeBigInt As New BigInteger(negativeBytes)
Console.WriteLine(negativeBigInt.ToString("N0"))

Dim tempPosBytes() As Byte = BitConverter.GetBytes(positiveNumber)
Dim positiveBytes(tempposBytes.Length) As Byte
Array.Copy(tempPosBytes, positiveBytes, tempPosBytes.Length)
Dim positiveBigInt As New BigInteger(positiveBytes)
Console.WriteLine(positiveBigInt.ToString("N0"))
' The example displays the following output:
'    -1,000,000
'    4,293,967,296
``````

``````BigInteger positiveValue = 15777216;
BigInteger negativeValue  = -1000000;

Console.WriteLine("Positive value: " + positiveValue.ToString("N0"));
byte[] bytes = positiveValue.ToByteArray();

foreach (byte byteValue in bytes)
Console.Write("{0:X2} ", byteValue);
Console.WriteLine();
positiveValue = new BigInteger(bytes);
Console.WriteLine("Restored positive value: " + positiveValue.ToString("N0"));

Console.WriteLine();

Console.WriteLine("Negative value: " + negativeValue.ToString("N0"));
bytes = negativeValue.ToByteArray();
foreach (byte byteValue in bytes)
Console.Write("{0:X2} ", byteValue);
Console.WriteLine();
negativeValue = new BigInteger(bytes);
Console.WriteLine("Restored negative value: " + negativeValue.ToString("N0"));
// The example displays the following output:
//       Positive value: 15,777,216
//       C0 BD F0 00
//       Restored positive value: 15,777,216
//
//       Negative value: -1,000,000
//       C0 BD F0
//       Restored negative value: -1,000,000
``````
``````Dim positiveValue As BigInteger = 15777216
Dim negativeValue As BigInteger = -1000000

Console.WriteLine("Positive value: " + positiveValue.ToString("N0"))
Dim bytes() As Byte = positiveValue.ToByteArray()
For Each byteValue As Byte In bytes
Console.Write("{0:X2} ", byteValue)
Next
Console.WriteLine()
positiveValue = New BigInteger(bytes)
Console.WriteLine("Restored positive value: " + positiveValue.ToString("N0"))

Console.WriteLine()

Console.WriteLIne("Negative value: " + negativeValue.ToString("N0"))
bytes = negativeValue.ToByteArray()
For Each byteValue As Byte In bytes
Console.Write("{0:X2} ", byteValue)
Next
Console.WriteLine()
negativeValue = New BigInteger(bytes)
Console.WriteLine("Restored negative value: " + negativeValue.ToString("N0"))
' The example displays the following output:
'       Positive value: 15,777,216
'       C0 BD F0 00
'       Restored positive value: 15,777,216
'
'       Negative value: -1,000,000
'       C0 BD F0
'       Restored negative value: -1,000,000
``````

``````BigInteger negativeNumber = -1000000;
BigInteger positiveNumber  = 15777216;

string negativeHex = negativeNumber.ToString("X");
string positiveHex = positiveNumber.ToString("X");

BigInteger negativeNumber2, positiveNumber2;
negativeNumber2 = BigInteger.Parse(negativeHex,
NumberStyles.HexNumber);
positiveNumber2 = BigInteger.Parse(positiveHex,
NumberStyles.HexNumber);

Console.WriteLine("Converted {0:N0} to {1} back to {2:N0}.",
negativeNumber, negativeHex, negativeNumber2);
Console.WriteLine("Converted {0:N0} to {1} back to {2:N0}.",
positiveNumber, positiveHex, positiveNumber2);
// The example displays the following output:
//       Converted -1,000,000 to F0BDC0 back to -1,000,000.
//       Converted 15,777,216 to 0F0BDC0 back to 15,777,216.
``````
``````Dim negativeNumber As BigInteger = -1000000
Dim positiveNumber As BigInteger = 15777216

Dim negativeHex As String = negativeNumber.ToString("X")
Dim positiveHex As string = positiveNumber.ToString("X")

Dim negativeNumber2, positiveNumber2 As BigInteger
negativeNumber2 = BigInteger.Parse(negativeHex,
NumberStyles.HexNumber)
positiveNumber2 = BigInteger.Parse(positiveHex,
NumberStyles.HexNumber)

Console.WriteLine("Converted {0:N0} to {1} back to {2:N0}.",
negativeNumber, negativeHex, negativeNumber2)
Console.WriteLine("Converted {0:N0} to {1} back to {2:N0}.",
positiveNumber, positiveHex, positiveNumber2)
' The example displays the following output:
'       Converted -1,000,000 to F0BDC0 back to -1,000,000.
'       Converted 15,777,216 to 0F0BDC0 back to 15,777,216.
``````

``````using System;
using System.Globalization;
using System.Numerics;

public struct HexValue
{
public int Sign;
public string Value;
}

public class Example
{
public static void Main()
{
uint positiveNumber = 4039543321;
int negativeNumber = -255423975;

// Convert the numbers to hex strings.
HexValue hexValue1, hexValue2;
hexValue1.Value = positiveNumber.ToString("X");
hexValue1.Sign = Math.Sign(positiveNumber);

hexValue2.Value = Convert.ToString(negativeNumber, 16);
hexValue2.Sign = Math.Sign(negativeNumber);

// Round-trip the hexadecimal values to BigInteger values.
string hexString;
BigInteger positiveBigInt, negativeBigInt;

hexString = (hexValue1.Sign == 1 ? "0" : "") + hexValue1.Value;
positiveBigInt = BigInteger.Parse(hexString, NumberStyles.HexNumber);
Console.WriteLine("Converted {0} to {1} and back to {2}.",
positiveNumber, hexValue1.Value, positiveBigInt);

hexString = (hexValue2.Sign == 1 ? "0" : "") + hexValue2.Value;
negativeBigInt = BigInteger.Parse(hexString, NumberStyles.HexNumber);
Console.WriteLine("Converted {0} to {1} and back to {2}.",
negativeNumber, hexValue2.Value, negativeBigInt);
}
}
// The example displays the following output:
//       Converted 4039543321 to F0C68A19 and back to 4039543321.
//       Converted -255423975 to f0c68a19 and back to -255423975.
``````
``````Imports System.Globalization
Imports System.Numerics

Public Structure HexValue
Public Sign As Integer
Public Value As String
End Structure

Module Example
Public Sub Main()
Dim positiveNumber As UInteger = 4039543321
Dim negativeNumber As Integer = -255423975

' Convert the numbers to hex strings.
Dim hexValue1, hexValue2 As HexValue
hexValue1.Value = positiveNumber.ToString("X")
hexValue1.Sign = Math.Sign(positiveNumber)

hexValue2.Value = Convert.ToString(negativeNumber, 16)
hexValue2.Sign = Math.Sign(negativeNumber)

' Round-trip the hexadecimal values to BigInteger values.
Dim hexString As String
Dim positiveBigInt, negativeBigInt As BigInteger

hexString = CStr(IIf(hexValue1.Sign = 1, "0", "")) + hexValue1.Value
positiveBigInt = BigInteger.Parse(hexString, NumberStyles.HexNumber)
Console.WriteLine("Converted {0} to {1} and back to {2}.",
positiveNumber, hexValue1.Value, positiveBigInt)

hexString = CStr(IIf(hexValue2.Sign = 1, "0", "")) + hexValue2.Value
negativeBigInt = BigInteger.Parse(hexString, NumberStyles.HexNumber)
Console.WriteLine("Converted {0} to {1} and back to {2}.",
negativeNumber, hexValue2.Value, negativeBigInt)

End Sub
End Module
' The example displays the following output:
'       Converted 4039543321 to F0C68A19 and back to 4039543321.
'       Converted -255423975 to f0c68a19 and back to -255423975.
``````

## 建構函式

 使用位元組陣列中的值，初始化 BigInteger 結構的新執行個體。Initializes a new instance of the BigInteger structure using the values in a byte array. 使用 BigInteger 值，初始化 Decimal 結構的新執行個體。Initializes a new instance of the BigInteger structure using a Decimal value. 使用雙精確度浮點值，初始化 BigInteger 結構的新執行個體。Initializes a new instance of the BigInteger structure using a double-precision floating-point value. 使用 32 位元帶正負號的整數值，初始化 BigInteger 結構的新執行個體。Initializes a new instance of the BigInteger structure using a 32-bit signed integer value. 使用 64 位元帶正負號的整數值，初始化 BigInteger 結構的新執行個體。Initializes a new instance of the BigInteger structure using a 64-bit signed integer value. 使用唯讀位元組範圍中的值並選擇性指出是否帶正負號與無大小順序的位元組順序，來初始化 BigInteger 結構的新執行個體。Initializes a new instance of the BigInteger structure using the values in a read-only span of bytes, and optionally indicating the signing encoding and the endianness byte order. 使用單精確度浮點值，初始化 BigInteger 結構的新執行個體。Initializes a new instance of the BigInteger structure using a single-precision floating-point value. 使用不帶正負號的 32 位元整數值，初始化 BigInteger 結構的新執行個體。Initializes a new instance of the BigInteger structure using an unsigned 32-bit integer value. 使用不帶正負號的 64 位元整數值，初始化 BigInteger 結構的新執行個體。Initializes a new instance of the BigInteger structure with an unsigned 64-bit integer value.

## 屬性

 表示目前 BigInteger 物件的值是否為偶數。Indicates whether the value of the current BigInteger object is an even number. 表示目前 BigInteger 物件的值是否為 One。Indicates whether the value of the current BigInteger object is One. 表示目前 BigInteger 物件的值是否為二乘冪。Indicates whether the value of the current BigInteger object is a power of two. 表示目前 BigInteger 物件的值是否為 Zero。Indicates whether the value of the current BigInteger object is Zero. 取得表示數字負一 (-1) 的值。Gets a value that represents the number negative one (-1). 取得表示數字一 (1) 的值。Gets a value that represents the number one (1). 取得數字，這個數字表示目前 BigInteger 物件的正負號 (負數、正數或零)。Gets a number that indicates the sign (negative, positive, or zero) of the current BigInteger object. 取得表示數字 0 (零) 的值。Gets a value that represents the number 0 (zero).

## 方法

 取得 BigInteger 物件的絕對值。Gets the absolute value of a BigInteger object. 兩個 BigInteger 值相加，並傳回結果。Adds two BigInteger values and returns the result. 比較兩個 BigInteger 值並傳回整數，這個整數表示第一個值小於、等於或大於第二個值。Compares two BigInteger values and returns an integer that indicates whether the first value is less than, equal to, or greater than the second value. 比較這個執行個體與第二個 BigInteger，並且傳回整數，這個整數表示這個執行個體的值小於、等於或大於指定之物件的值。Compares this instance to a second BigInteger and returns an integer that indicates whether the value of this instance is less than, equal to, or greater than the value of the specified object. 比較這個執行個體與帶正負號的 64 位元整數，並且傳回整數，這個整數表示這個執行個體的值小於、等於或大於帶正負號 64 位元整數的值。Compares this instance to a signed 64-bit integer and returns an integer that indicates whether the value of this instance is less than, equal to, or greater than the value of the signed 64-bit integer. 比較這個執行個體與特定物件，並且傳回一個整數，指出這個執行個體的值是小於、等於或大於特定物件的值。Compares this instance to a specified object and returns an integer that indicates whether the value of this instance is less than, equal to, or greater than the value of the specified object. 比較這個執行個體與不帶正負號的 64 位元整數，並且傳回整數，這個整數表示這個執行個體的值小於、等於或大於不帶正負號 64 位元整數的值。Compares this instance to an unsigned 64-bit integer and returns an integer that indicates whether the value of this instance is less than, equal to, or greater than the value of the unsigned 64-bit integer. 某個 BigInteger 值除以另一個值，並且傳回結果。Divides one BigInteger value by another and returns the result. 某個 BigInteger 值除以另一個值，傳回結果，並在輸出參數中傳回餘數。Divides one BigInteger value by another, returns the result, and returns the remainder in an output parameter. 傳回值，這個值表示目前執行個體與指定的 BigInteger 物件是否有相同的值。Returns a value that indicates whether the current instance and a specified BigInteger object have the same value. 傳回值，這個值表示目前執行個體與帶正負號的 64 位元整數是否有相同的值。Returns a value that indicates whether the current instance and a signed 64-bit integer have the same value. 傳回值，這個值表示目前執行個體與指定的物件是否有相同的值。Returns a value that indicates whether the current instance and a specified object have the same value. 傳回值，這個值表示目前執行個體與不帶正負號的 64 位元整數是否有相同的值。Returns a value that indicates whether the current instance and an unsigned 64-bit integer have the same value. 取得目前執行個體沒有正負號位元的最短二補數表示所需的位元數目。Gets the number of bits required for shortest two's complement representation of the current instance without the sign bit. Gets the number of bytes that will be output by ToByteArray(Boolean, Boolean) and TryWriteBytes(Span, Int32, Boolean, Boolean). 傳回目前 BigInteger 物件的雜湊碼。Returns the hash code for the current BigInteger object. 求兩個 BigInteger 值的最大公因數。Finds the greatest common divisor of two BigInteger values. 傳回指定數字的自然 (底數為 `e`) 對數。Returns the natural (base `e`) logarithm of a specified number. 傳回指定底數中指定數字的對數。Returns the logarithm of a specified number in a specified base. 傳回指定數字的以 10 為底數的對數。Returns the base 10 logarithm of a specified number. 傳回兩個 BigInteger 值的較大值。Returns the larger of two BigInteger values. 傳回兩個 BigInteger 值的較小值。Returns the smaller of two BigInteger values. 一個數目自乘至另一個數目的乘冪後，執行模數除法。Performs modulus division on a number raised to the power of another number. 傳回兩個 BigInteger 值的乘積。Returns the product of two BigInteger values. 將指定的 BigInteger 值變換正負號。Negates a specified BigInteger value. 將所指定唯讀字元範圍中具有所指定樣式的數字表示法轉換為其 BigInteger 對等項目。Converts the representation of a number, contained in the specified read-only span of characters, in a specified style to its BigInteger equivalent. 將數字的字串表示，轉換為其相等的 BigInteger。Converts the string representation of a number to its BigInteger equivalent. 將使用指定特定文化特性格式之數字的字串表示轉換為其相等的 BigInteger。Converts the string representation of a number in a specified culture-specific format to its BigInteger equivalent. 將指定樣式中數字的字串表示轉換為其相等的 BigInteger。Converts the string representation of a number in a specified style to its BigInteger equivalent. 將數字的字串表示 (使用指定樣式和特定文化特性的格式) 轉換為其相等的 BigInteger。Converts the string representation of a number in a specified style and culture-specific format to its BigInteger equivalent. BigInteger 值自乘至指定之值的乘冪。Raises a BigInteger value to the power of a specified value. 對兩個 BigInteger 值執行整數除法運算，並傳回餘數。Performs integer division on two BigInteger values and returns the remainder. 某個 BigInteger 值減去另一個值，並且傳回結果。Subtracts one BigInteger value from another and returns the result. 將 BigInteger 值轉換成位元組陣列。Converts a BigInteger value to a byte array. 使用盡可能最少的位元組數，傳回這個 BigInteger 的值作為位元組陣列。Returns the value of this BigInteger as a byte array using the fewest number of bytes possible. 如果值為零，則傳回其元素為 0x00 的一個位元組陣列。If the value is zero, returns an array of one byte whose element is 0x00. 將目前 BigInteger 物件的數值，轉換為其相等的字串表示。Converts the numeric value of the current BigInteger object to its equivalent string representation. 使用指定的文化特性特定格式資訊，將目前 BigInteger 物件的數值轉換為其對等字串表示。Converts the numeric value of the current BigInteger object to its equivalent string representation by using the specified culture-specific formatting information. 使用指定的格式，將目前 BigInteger 物件的值，轉換為其相等字串表示。Converts the numeric value of the current BigInteger object to its equivalent string representation by using the specified format. 使用指定的格式和特定文化特性的格式資訊，將目前 BigInteger 物件的數值，轉換為其相等的字串表示。Converts the numeric value of the current BigInteger object to its equivalent string representation by using the specified format and culture-specific format information. 將此大整數執行個體的格式設定為字元範圍。Formats this big integer instance into a span of characters. 嘗試將所指定唯讀字元範圍中包含的數字表示法轉換為其 BigInteger 對等項目，並傳回指出轉換是否成功的值。Tries to convert the representation of a number contained in the specified read-only character span, to its BigInteger equivalent, and returns a value that indicates whether the conversion succeeded. 嘗試將數字的字串表示轉換成其相等的 BigInteger，並傳回一個值表示轉換是否成功。Tries to convert the string representation of a number to its BigInteger equivalent, and returns a value that indicates whether the conversion succeeded. 嘗試將數字的字串表示轉換成其相等的 BigInteger，並傳回一個值表示轉換是否成功。Tries to convert the string representation of a number to its BigInteger equivalent, and returns a value that indicates whether the conversion succeeded. 使用指定的文化特性特定格式資訊和格式樣式，將日期和時間的指定字串表示轉換為其對等的 BigInteger，並傳回值，這個值表示轉換是否成功。Tries to convert the string representation of a number in a specified style and culture-specific format to its BigInteger equivalent, and returns a value that indicates whether the conversion succeeded. 使用盡可能最少位元組數來複製這個 BigInteger 的值，作為位元組由小到大的二補數位元組。Copies the value of this BigInteger as little-endian twos-complement bytes, using the fewest number of bytes possible. 如果值為零，則輸出其元素為 0x00 的一個位元組。If the value is zero, outputs one byte whose element is 0x00.

## 運算子

 兩個指定之 BigInteger 物件的值相加。Adds the values of two specified BigInteger objects. 對兩個 BigInteger 值執行位元 `And` 運算。Performs a bitwise `And` operation on two BigInteger values. 對兩個 BigInteger 值執行位元 `Or` 運算。Performs a bitwise `Or` operation on two BigInteger values. BigInteger 值遞減 1。Decrements a BigInteger value by 1. 使用整數除法，將指定的 BigInteger 值除以另一個指定的 BigInteger 值。Divides a specified BigInteger value by another specified BigInteger value by using integer division. 傳回值，這個值表示兩個 BigInteger 物件的值是否相等。Returns a value that indicates whether the values of two BigInteger objects are equal. 傳回值，這個值表示 BigInteger 值與帶正負號長整數值是否相等。Returns a value that indicates whether a BigInteger value and a signed long integer value are equal. 傳回值，這個值表示 BigInteger 值與不帶正負號長整數值是否相等。Returns a value that indicates whether a BigInteger value and an unsigned long integer value are equal. 傳回值，這個值表示帶正負號長整數值與 BigInteger 值是否相等。Returns a value that indicates whether a signed long integer value and a BigInteger value are equal. 傳回值，這個值表示不帶正負號長整數值與 BigInteger 值是否相等。Returns a value that indicates whether an unsigned long integer value and a BigInteger value are equal. 對兩個 BigInteger 值執行位元互斥 `Or` (`XOr`) 運算。Performs a bitwise exclusive `Or` (`XOr`) operation on two BigInteger values. 定義從 BigInteger 物件到不帶正負號位元組值的明確轉換。Defines an explicit conversion of a BigInteger object to an unsigned byte value. 定義從 BigInteger 物件到 Decimal 值的明確轉換。Defines an explicit conversion of a BigInteger object to a Decimal value. 定義從 BigInteger 物件到 Double 值的明確轉換。Defines an explicit conversion of a BigInteger object to a Double value. 定義從 BigInteger 物件到 16 位元帶正負號整數值的明確轉換。Defines an explicit conversion of a BigInteger object to a 16-bit signed integer value. 定義從 BigInteger 物件到 32 位元帶正負號整數值的明確轉換。Defines an explicit conversion of a BigInteger object to a 32-bit signed integer value. 定義從 BigInteger 物件到 64 位元帶正負號整數值的明確轉換。Defines an explicit conversion of a BigInteger object to a 64-bit signed integer value. 定義從 BigInteger 物件到帶正負號 8 位元值的明確轉換。Defines an explicit conversion of a BigInteger object to a signed 8-bit value. 此應用程式開發介面不符合 CLS 標準。This API is not CLS-compliant. 符合規範的替代項目為 Int16。The compliant alternative is Int16. 定義從 BigInteger 物件到單精確度浮點值的明確轉換。Defines an explicit conversion of a BigInteger object to a single-precision floating-point value. 定義從 BigInteger 物件到不帶正負號 16 位元整數值的明確轉換。Defines an explicit conversion of a BigInteger object to an unsigned 16-bit integer value. 此應用程式開發介面不符合 CLS 標準。This API is not CLS-compliant. 符合規範的替代項目為 Int32。The compliant alternative is Int32. 定義從 BigInteger 物件到不帶正負號 32 位元整數值的明確轉換。Defines an explicit conversion of a BigInteger object to an unsigned 32-bit integer value. 此應用程式開發介面不符合 CLS 標準。This API is not CLS-compliant. 符合規範的替代項目為 Int64。The compliant alternative is Int64. 定義從 BigInteger 物件到不帶正負號 64 位元整數值的明確轉換。Defines an explicit conversion of a BigInteger object to an unsigned 64-bit integer value. 此應用程式開發介面不符合 CLS 標準。This API is not CLS-compliant. 符合規範的替代項目為 Double。The compliant alternative is Double. 定義從 Decimal 物件到 BigInteger 值的明確轉換。Defines an explicit conversion of a Decimal object to a BigInteger value. 定義從 Double 值到 BigInteger 值的明確轉換。Defines an explicit conversion of a Double value to a BigInteger value. 定義從 Single 值到 BigInteger 值的明確轉換。Defines an explicit conversion of a Single value to a BigInteger value. 傳回值，這個值表示 BigInteger 值是否大於另一個 BigInteger 值。Returns a value that indicates whether a BigInteger value is greater than another BigInteger value. 傳回值，這個值表示 BigInteger 是否大於 64 位元帶正負號的整數值。Returns a value that indicates whether a BigInteger is greater than a 64-bit signed integer value. 傳回值，這個值表示 BigInteger 值是否大於 64 位元不帶正負號的整數。Returns a value that indicates whether a BigInteger value is greater than a 64-bit unsigned integer. 傳回值，這個值表示 64 位元帶正負號的整數是否大於 BigInteger 值。Returns a value that indicates whether a 64-bit signed integer is greater than a BigInteger value. 傳回值，這個值表示 BigInteger 值是否大於 64 位元不帶正負號的整數。Returns a value that indicates whether a BigInteger value is greater than a 64-bit unsigned integer. 傳回值，這個值表示 BigInteger 值是否大於或等於另一個 BigInteger 值。Returns a value that indicates whether a BigInteger value is greater than or equal to another BigInteger value. 傳回值，這個值表示 BigInteger 值是否大於或等於 64 位元帶正負號的整數值。Returns a value that indicates whether a BigInteger value is greater than or equal to a 64-bit signed integer value. 傳回值，這個值表示 BigInteger 值是否大於或等於 64 位元不帶正負號的整數值。Returns a value that indicates whether a BigInteger value is greater than or equal to a 64-bit unsigned integer value. 傳回值，這個值表示 64 位元帶正負號的整數是否大於或等於 BigInteger 值。Returns a value that indicates whether a 64-bit signed integer is greater than or equal to a BigInteger value. 傳回值，這個值表示 64 位元不帶正負號的整數是否大於或等於 BigInteger 值。Returns a value that indicates whether a 64-bit unsigned integer is greater than or equal to a BigInteger value. 定義從不帶正負號的位元組到 BigInteger 值的隱含轉換。Defines an implicit conversion of an unsigned byte to a BigInteger value. 定義從帶正負號的 16 位元整數到 BigInteger 值的隱含轉換。Defines an implicit conversion of a signed 16-bit integer to a BigInteger value. 定義從帶正負號的 32 位元整數到 BigInteger 值的隱含轉換。Defines an implicit conversion of a signed 32-bit integer to a BigInteger value. 定義從帶正負號的 64 位元整數到 BigInteger 值的隱含轉換。Defines an implicit conversion of a signed 64-bit integer to a BigInteger value. 定義從 8 位元帶正負號的整數到 BigInteger 值的隱含轉換。Defines an implicit conversion of an 8-bit signed integer to a BigInteger value. 此應用程式開發介面不符合 CLS 標準。This API is not CLS-compliant. 符合規範的替代項目為 BigInteger(Int32)。The compliant alternative is BigInteger(Int32). 定義從 16 位元不帶正負號的整數到 BigInteger 值的隱含轉換。Defines an implicit conversion of a 16-bit unsigned integer to a BigInteger value. 此應用程式開發介面不符合 CLS 標準。This API is not CLS-compliant. 符合規範的替代項目為 Implicit(Int32 to BigInteger)。The compliant alternative is Implicit(Int32 to BigInteger). 定義從 32 位元不帶正負號的整數到 BigInteger 值的隱含轉換。Defines an implicit conversion of a 32-bit unsigned integer to a BigInteger value. 此應用程式開發介面不符合 CLS 標準。This API is not CLS-compliant. 符合規範的替代項目為 Implicit(Int64 to BigInteger)。The compliant alternative is Implicit(Int64 to BigInteger). 定義從 64 位元不帶正負號的整數到 BigInteger 值的隱含轉換。Defines an implicit conversion of a 64-bit unsigned integer to a BigInteger value. 此應用程式開發介面不符合 CLS 標準。This API is not CLS-compliant. 符合規範的替代項目為 Double。The compliant alternative is Double. BigInteger 值遞增 1。Increments a BigInteger value by 1. 傳回值，指出兩個 BigInteger 物件是否有不同的值。Returns a value that indicates whether two BigInteger objects have different values. 傳回值，這個值表示 BigInteger 值與 64 位元帶正負號的整數是否不相等。Returns a value that indicates whether a BigInteger value and a 64-bit signed integer are not equal. 傳回值，這個值表示 BigInteger 值與 64 位元不帶正負號的整數是否不相等。Returns a value that indicates whether a BigInteger value and a 64-bit unsigned integer are not equal. 傳回值，這個值表示 64 位元帶正負號的整數與 BigInteger 值是否不相等。Returns a value that indicates whether a 64-bit signed integer and a BigInteger value are not equal. 傳回值，這個值表示 64 位元不帶正負號的整數與 BigInteger 值是否不相等。Returns a value that indicates whether a 64-bit unsigned integer and a BigInteger value are not equal. 將 BigInteger 值向左移動指定的位元數。Shifts a BigInteger value a specified number of bits to the left. 傳回值，這個值表示 BigInteger 值是否小於另一個 BigInteger 值。Returns a value that indicates whether a BigInteger value is less than another BigInteger value. 傳回值，這個值表示 BigInteger 值是否小於 64 位元帶正負號的整數。Returns a value that indicates whether a BigInteger value is less than a 64-bit signed integer. 傳回值，這個值表示 BigInteger 值是否小於 64 位元不帶正負號的整數。Returns a value that indicates whether a BigInteger value is less than a 64-bit unsigned integer. 傳回值，這個值表示 64 位元帶正負號的整數是否小於 BigInteger 值。Returns a value that indicates whether a 64-bit signed integer is less than a BigInteger value. 傳回值，這個值表示 64 位元不帶正負號的整數是否小於 BigInteger 值。Returns a value that indicates whether a 64-bit unsigned integer is less than a BigInteger value. 傳回值，這個值表示 BigInteger 值是否小於或等於另一個 BigInteger 值。Returns a value that indicates whether a BigInteger value is less than or equal to another BigInteger value. 傳回值，這個值表示 BigInteger 值是否小於或等於 64 位元帶正負號的整數。Returns a value that indicates whether a BigInteger value is less than or equal to a 64-bit signed integer. 傳回值，這個值表示 BigInteger 值是否小於或等於 64 位元不帶正負號的整數。Returns a value that indicates whether a BigInteger value is less than or equal to a 64-bit unsigned integer. 傳回值，這個值表示 64 位元帶正負號的整數是否小於或等於 BigInteger 值。Returns a value that indicates whether a 64-bit signed integer is less than or equal to a BigInteger value. 傳回值，這個值表示 64 位元不帶正負號的整數是否小於或等於 BigInteger 值。Returns a value that indicates whether a 64-bit unsigned integer is less than or equal to a BigInteger value. 傳回從兩個指定的 BigInteger 值相除所得的餘數。Returns the remainder that results from division with two specified BigInteger values. 將兩個指定的 BigInteger 值相乘。Multiplies two specified BigInteger values. 傳回 BigInteger 值的位元一進位補數。Returns the bitwise one's complement of a BigInteger value. 將 BigInteger 值向右移動指定的位元數。Shifts a BigInteger value a specified number of bits to the right. 將某個 BigInteger 值減去另一個 BigInteger 值。Subtracts a BigInteger value from another BigInteger value. 將指定的 BigInteger 值變換正負號。Negates a specified BigInteger value. 傳回 BigInteger 運算元的值。Returns the value of the BigInteger operand. (運算元的正負號不會變更)。(The sign of the operand is unchanged.)

## 明確介面實作

 比較這個執行個體與特定物件，並且傳回一個整數，指出這個執行個體的值是小於、等於或大於特定物件的值。Compares this instance to a specified object and returns an integer that indicates whether the value of this instance is less than, equal to, or greater than the value of the specified object.