Décimal en Binaire
Convertissez des nombres décimaux en binaire avec étapes de division, inspection flottante IEEE 754 32 bits et bascule de bits.
Détail Étape par Étape — 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) |
Outils de Conversion Associés
Convert raw binary bitstreams into Decimal, Hexadecimal nibbles, and Octal UNIX permissions with step-by-step proofs.
Calculateur de Fractions
Add, subtract, multiply, divide & simplify fractions
Fraction en Décimal
Convert fractions & mixed numbers to exact decimals & repeating cycles
Décimal en Fraction
Mixed & improper fractions with GCD steps
Hexadécimal en Décimal
Convert Base-16 (0x) to Base-10 decimals with power expansion
Décimal en Hexadécimal
Base-16 hex with byte spacing & RGB preview
Binaire en Décimal
Convert base-2 bits to base-10 decimal & fractions
Binaire en Hexadécimal
Convert 4-bit nibbles to Base-16 hexadecimal (0x)
Binaire en Octal
Convert 3-bit triplets to Base-8 octal & UNIX permissions
ASCII en Binaire
Convert ASCII text and Unicode characters to 8-bit binary bits
ASCII en Décimal
Convert ASCII text and Unicode characters to decimal byte sequences
Décimal en ASCII
Convert decimal codes & byte arrays to ASCII text
Décimal en Pourcentage
Percentage, basis points (bps) & gauge
Décimal en Pouces
1/16″ to 1/64″ fractional inches & metric ruler
Décimal en Minutes
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).