Convert Hexadecimal (Base 16) to Binary (Base 2) with step-by-step solution.
0123456789ABCDEFEach digit × 16^position:
| Digit | Value | Position | Calculation | Result |
|---|---|---|---|---|
| 2 | 2 | 2 | 2 × 16^2 | 512 |
| 5 | 5 | 1 | 5 × 16^1 | 80 |
| 5 | 5 | 0 | 5 × 16^0 | 5 |
Divide by 2, collect remainders:
| Step | Dividend | ÷ 2 | Quotient | Remainder | Digit |
|---|---|---|---|---|---|
| 1 | 597 | ÷ 2 | 298 | 1 | 1 |
| 2 | 298 | ÷ 2 | 149 | 0 | 0 |
| 3 | 149 | ÷ 2 | 74 | 1 | 1 |
| 4 | 74 | ÷ 2 | 37 | 0 | 0 |
| 5 | 37 | ÷ 2 | 18 | 1 | 1 |
| 6 | 18 | ÷ 2 | 9 | 0 | 0 |
| 7 | 9 | ÷ 2 | 4 | 1 | 1 |
| 8 | 4 | ÷ 2 | 2 | 0 | 0 |
| 9 | 2 | ÷ 2 | 1 | 0 | 0 |
| 10 | 1 | ÷ 2 | 0 | 1 | 1 |
| Decimal | Hexadecimal | Binary |
|---|---|---|
| 0 | 0 | 0 |
| 1 | 1 | 1 |
| 2 | 2 | 10 |
| 3 | 3 | 11 |
| 4 | 4 | 100 |
| 5 | 5 | 101 |
| 6 | 6 | 110 |
| 7 | 7 | 111 |
| 8 | 8 | 1000 |
| 9 | 9 | 1001 |
| 10 | A | 1010 |
| 15 | F | 1111 |
| 16 | 10 | 10000 |
| 20 | 14 | 10100 |
| 32 | 20 | 100000 |
| Number System | Base | Value |
|---|---|---|
| Binary | 2 | 1001010101 |
| Octal | 8 | 1125 |
| Decimal | 10 | 597 |
| Ternary | 3 | 211010 |
| Quaternary | 4 | 21111 |
| Quinary | 5 | 4342 |
| Senary | 6 | 2433 |
| Septenary | 7 | 1512 |
| Duodecimal | 12 | 419 |
| Vigesimal | 20 | 19H |
| Duotrigesimal | 32 | IL |
| Hexatrigesimal | 36 | GL |
To convert from Hexadecimal (base 16) to Binary (base 2), first convert to decimal, then convert from decimal to Binary.
Used in programming and colors. Uses digits: 0123456789ABCDEF
Used in computers and digital systems. Uses digits: 01