How to convert 8 bit binary to decimal
Sum each bit times 2^position (rightmost is 2⁰); eight bits give 0–255 in decimal—enter the byte on Binary to Decimal for an instant check.
Detailed answer
Label bits b₇…b₀ from MSB to LSB. Value = b₇·128 + b₆·64 + … + b₀·1. Example: 00001101₂ = 8 + 4 + 1 = 13. You may use an optional 0b prefix. The dedicated **Binary to Decimal** page uses the same parser as the hub, so leading zeros are fine for an 8-bit pattern.
Relationship context
A byte is eight bits; unsigned interpretation is 0–255. This is the standard bridge between bit patterns in registers and human-readable decimal.
Quick conversion table
| Binary (input) | Decimal (output) |
|---|---|
| 0 | 0 |
| 0b1 | 1 |
| 0b10 | 2 |
| 0b11 | 3 |
| 0b100 | 4 |
| 0b101 | 5 |
| 0b110 | 6 |
| 0b111 | 7 |
| 0b1000 | 8 |
| 0b1001 | 9 |
| 0b1010 | 10 |
| 0b1111 | 15 |
| 0b10000 | 16 |
| Binary (input) | Decimal (output) |
|---|---|
| 0b1011 | 11 |
| 0b100000 | 32 |
| 0b1000000 | 64 |
| 0b10000000 | 128 |
| 0b100000000 | 256 |
| 0b1000000000 | 512 |
| 0b10000000000 | 1024 |
| 0b100000000000 | 2048 |
| 0b1000000000000 | 4096 |
| 0b10000000000000 | 8192 |
| 0b100000000000000 | 16384 |
| 0b1000000000000000 | 32768 |
| 0b1111111111111111 | 65535 |
More Binary converters
Dedicated pages from Binary to every other format (binary, octal, decimal, hexadecimal, character), with the same parsing rules as the main Number System Converter.