Number Base Converter
A binary converter converts numbers between binary (base-2), decimal (base-10), hexadecimal (base-16), and octal (base-8). These number systems are fundamental in computing — computers store all data in binary (0s and 1s).
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Tip: Memorize powers of 2 up to 2^10: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024. These are the building blocks of all binary arithmetic and computer storage units.
- 1Binary to decimal: sum each bit × 2^position (from right, starting at 0)
- 2Decimal to binary: repeatedly divide by 2 and record remainders
- 3Hex uses digits 0–9 and letters A–F (A=10, B=11, ..., F=15)
- 41 hex digit = 4 binary bits; 2 hex digits = 1 byte (8 bits)
Binary 1010=Decimal 10, Hex A, Octal 128+0+2+0 = 10
Decimal 255=Binary 11111111, Hex FF8 bits all 1s = max byte value
| Decimal | Binary | Hex | Octal |
|---|---|---|---|
| 0 | 0000 | 0 | 0 |
| 8 | 1000 | 8 | 10 |
| 10 | 1010 | A | 12 |
| 15 | 1111 | F | 17 |
| 16 | 10000 | 10 | 20 |
| 255 | 11111111 | FF | 377 |
| 256 | 100000000 | 100 | 400 |
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Fun Fact
All colors on your screen are represented as hex — #FF0000 is pure red (255, 0, 0 in RGB). Web colors, CSS, and image files all use hexadecimal color codes because 2 hex digits perfectly represent one color channel (0–255).
References
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