Quiz Entry - updated: 2026.07.14
What is the relationship between binary and hexadecimal, and why is conversion easy?
Each hex digit maps to exactly 4 binary bits (a nibble), so you convert by grouping bits in fours — no arithmetic needed. Example: 1100 0000 = C0.
Key insight: Each hexadecimal digit represents exactly 4 binary bits.
Conversion table:
| Hex | Binary | Hex | Binary |
|---|---|---|---|
| 0 | 0000 | 8 | 1000 |
| 1 | 0001 | 9 | 1001 |
| 2 | 0010 | A | 1010 |
| 3 | 0011 | B | 1011 |
| 4 | 0100 | C | 1100 |
| 5 | 0101 | D | 1101 |
| 6 | 0110 | E | 1110 |
| 7 | 0111 | F | 1111 |
Example: Binary 11000000 = C0 in hex
- 1100 = C
- 0000 = 0
Go deeper:
Wikipedia — Hexadecimal § Binary conversion — why one hex digit equals exactly one 4-bit nibble, so grouping in fours converts with no arithmetic.