How to Convert Decimal to Binary
Use the repeated division by 2 method:
- Divide the decimal number by 2
- Record the remainder (0 or 1)
- Divide the quotient by 2 again
- Repeat until quotient is 0
- Read the remainders bottom-to-top
Example: 13₁₀ to binary
13 ÷ 2 = 6 remainder 1
6 ÷ 2 = 3 remainder 0
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1
Read remainders bottom-up: 1101