Decimal to Hex
Part of the Fundamentals section of Coddy's Assembly journey — lesson 12 of 45.
Converting decimal to hexadecimal is similar to converting decimal to binary — but instead of dividing by 2, you divide by 16.
The method: divide by 16 repeatedly, read remainders backward.
Step-by-step example: Convert 42 to hex
| Step | Division | Result | Remainder |
|---|---|---|---|
| 1 | 42 ÷ 16 | 2 | 10 (which is A in hex) |
| 2 | 2 ÷ 16 | 0 | 2 |
Read remainders from bottom to top: 2A
So 42 in decimal = 0x2A.
Example 2: Convert 255 to hex
| Step | Division | Result | Remainder |
|---|---|---|---|
| 1 | 255 ÷ 16 | 15 | 15 (which is F in hex) |
| 2 | 15 ÷ 16 | 0 | 15 (F) |
Read bottom to top: FF
So 255 in decimal = 0xFF.
Example 3: Convert 1000 to hex
| Step | Division | Result | Remainder |
|---|---|---|---|
| 1 | 1000 ÷ 16 | 62 | 8 |
| 2 | 62 ÷ 16 | 3 | 14 (which is E in hex) |
| 3 | 3 ÷ 16 | 0 | 3 |
Read bottom to top: 3E8
So 1000 in decimal = 0x3E8.
Remainder reminder:
| Remainder (0-15) | Hex digit |
|---|---|
| 0-9 | 0-9 |
| 10 | A |
| 11 | B |
| 12 | C |
| 13 | D |
| 14 | E |
| 15 | F |
Try it yourself
This lesson doesn't include a code challenge.
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Fundamentals
1The Machine
What is CPUMemoryRegisters vs MemoryHow instructions workTwo-File PatternThe x86-64 Architecture
2Number Systems
Why Binary?Binary NumbersDecimal to BinaryWhy Hexadecimal?Hex to DecimalDecimal to HexASCII & Hex