Method: Decimal to 8-Bit Binary Converter
To convert a decimal number to its 8-bit binary representation:
- Start with the decimal number you want to convert.
- Divide the decimal number by 2 and write down the quotient and the remainder.
- Continue dividing the quotient by 2 until the quotient becomes 0.
- Write down the remainders in reverse order. This gives you the binary digits from right to left.
- If necessary, pad the binary number with leading zeros to make it 8 bits long.
Example: Convert Decimal 174 to 8-Bit Binary
Decimal number: 174
| Step |
Decimal |
Quotient |
Remainder |
| 1 |
174 |
87 |
0 |
| 2 |
87 |
43 |
1 |
| 3 |
43 |
21 |
1 |
| 4 |
21 |
10 |
1 |
| 5 |
10 |
5 |
0 |
| 6 |
5 |
2 |
1 |
| 7 |
2 |
1 |
0 |
| 8 |
1 |
0 |
1 |
Binary representation of 174: 10101110
