Binary to Decimal Converter
Convert Binary to Decimal
Formula
Binary to Decimal: sum of (digit × 2^position) | 1101₂ = 8+4+0+1 = 13₁₀ | Decimal to Binary: divide by 2, track remainders
Frequently Asked Questions
How do I convert binary to decimal?
Multiply each binary digit by 2 raised to its position power (starting from 0 on the right), then sum all values. For 1101: (1×2³) + (1×2²) + (0×2¹) + (1×2⁰) = 8 + 4 + 0 + 1 = 13.
What is binary?
Binary is a base-2 number system using only digits 0 and 1. It is the fundamental language of computers. Each binary digit (bit) represents an on/off state. 8 bits = 1 byte, which can represent values 0-255.
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