10進数から2進数へ変換
10進数（整数・小数）を2進数へ変換。2による除算手順、IEEE-754 32ビット単精度浮動小数点構造、2の補数符号付きビットを表示します。
ステップ解説 — Base-2 Division
Powers of 2 and Binary Bit Reference
Standard byte ranges and binary bit weights.
| Decimal | Binary Form | Power / Weight | Action |
|---|---|---|---|
| 0 | 0000 0000 | 2⁰ = 1 | |
| 1 | 0000 0001 | 2⁰ | |
| 2 | 0000 0010 | 2¹ | |
| 4 | 0000 0100 | 2² | |
| 8 | 0000 1000 | 2³ | |
| 16 | 0001 0000 | 2⁴ | |
| 32 | 0010 0000 | 2⁵ | |
| 64 | 0100 0000 | 2⁶ | |
| 128 | 1000 0000 | 2⁷ | |
| 255 | 1111 1111 | 8-bit Max (2⁸ - 1) | |
| 256 | 0001 0000 0000 | 2⁸ | |
| 65535 | 1111 1111 1111 1111 | 16-bit Max (2¹⁶ - 1) |
関連する計算・変換ツール
Convert raw binary bitstreams into Decimal, Hexadecimal nibbles, and Octal UNIX permissions with step-by-step proofs.
分数計算機
Add, subtract, multiply, divide & simplify fractions
分数から小数へ変換
Convert fractions & mixed numbers to exact decimals & repeating cycles
小数から分数へ変換
Mixed & improper fractions with GCD steps
16進数から10進数へ変換
Convert Base-16 (0x) to Base-10 decimals with power expansion
10進数から16進数へ変換
Base-16 hex with byte spacing & RGB preview
2進数から10進数へ変換
Convert base-2 bits to base-10 decimal & fractions
2進数から16進数へ変換
Convert 4-bit nibbles to Base-16 hexadecimal (0x)
2進数から8進数へ変換
Convert 3-bit triplets to Base-8 octal & UNIX permissions
ASCIIから2進数へ変換
Convert ASCII text and Unicode characters to 8-bit binary bits
ASCIIから10進数へ変換
Convert ASCII text and Unicode characters to decimal byte sequences
10進数からASCIIテキストへ変換
Convert decimal codes & byte arrays to ASCII text
小数からパーセントへ変換
Percentage, basis points (bps) & gauge
小数からインチ(分数)へ変換
1/16″ to 1/64″ fractional inches & metric ruler
小数から分・時間へ変換
HH:MM:SS timecodes & payroll work logs
Frequently Asked Questions
Everything you need to know about decimal conversions, accuracy, and formulas.
01How do you convert decimal to binary manually?▼
To convert an integer decimal to binary: repeatedly divide the number by 2 and record the remainders (0 or 1) in reverse order. For fractional decimals (e.g. 0.625), repeatedly multiply the fraction by 2 and record the integer parts until the fractional part reaches zero.
02What is IEEE 754 32-bit Floating Point representation?▼
IEEE 754 single precision float uses 32 bits to store real numbers: 1 bit for the sign (0 for positive, 1 for negative), 8 bits for the biased exponent (bias of 127), and 23 bits for the mantissa (significand fraction). This is how computers natively store fractional decimal values.
03How does Two's Complement represent negative binary numbers?▼
Two's complement is the standard system for representing signed integers. To convert a positive number into negative: invert all the bits (one's complement) and add 1. For example, +5 (00000101) becomes -5 (11111011).