About Decimal to Binary conversion
Decimal uses powers of ten, while binary uses powers of two. Repeated division by two shows exactly which powers of two are needed to represent a decimal value.
How to convert Decimal to Binary
Enter a valid decimal number in the calculator above for an instant result. To understand the calculation by hand, follow these steps:
- Divide the decimal number by 2 and record the remainder.
- Continue dividing each quotient by 2 until the quotient is 0.
- Read the remainders from bottom to top.
Decimal to Binary conversion example
Example: 45₁₀ → 101101₂. The division remainders are 1, 0, 1, 1, 0, 1. Read upward to get 101101.
Use the calculator to verify the example, then try a value of your own. It accepts upper- and lowercase letters for hexadecimal input.