About Binary to Decimal conversion
Binary is the language of digital circuits: each position is a power of two. Decimal is the everyday base-10 system, so this conversion turns a machine-readable value into an ordinary number.
How to convert Binary to Decimal
Enter a valid binary number in the calculator above for an instant result. To understand the calculation by hand, follow these steps:
- Write the digits from right to left.
- Match positions with powers of 2: 1, 2, 4, 8, and so on.
- Add only the powers whose binary digit is 1.
Binary to Decimal conversion example
Example: 101101₂ → 45₁₀. The 1s are at 32, 8, 4, and 1. Therefore 32 + 8 + 4 + 1 = 45.
Use the calculator to verify the example, then try a value of your own. It accepts upper- and lowercase letters for hexadecimal input.