Binary to Decimal Converter
Convert binary (base-2) numbers to decimal (base-10). Enter up to 8 binary digits.
Valeur décimale
10
Formule
## How to Convert Binary to Decimal ### Method Each position in a binary number represents a power of 2, starting from 2^0 on the right. **Decimal = b7×128 + b6×64 + b5×32 + b4×16 + b3×8 + b2×4 + b1×2 + b0×1** For example, binary 00001010: - Position 3 (8s place): 1 × 8 = 8 - Position 1 (2s place): 1 × 2 = 2 - Total: 8 + 2 = 10
Exemple Résolu
Convert binary 00001010 to decimal.
- 010×128 + 0×64 + 0×32 + 0×16 + 1×8 + 0×4 + 1×2 + 0×1
- 02= 0 + 0 + 0 + 0 + 8 + 0 + 2 + 0
- 03= 10
Questions Fréquentes
What is the binary number system?
Binary (base-2) uses only two digits: 0 and 1. It is the fundamental number system used by computers and digital electronics.
Why do computers use binary?
Computers use binary because electronic circuits have two stable states (on/off, high/low voltage), making base-2 the natural representation for digital data.
How do you count in binary?
0, 1, 10, 11, 100, 101, 110, 111, 1000... Each position doubles in value from right to left (1, 2, 4, 8, 16, 32, 64, 128, ...).
Apprendre