Binary to Decimal Converter

Convert binary numbers (base-2) to decimal numbers (base-10) with step-by-step explanations

Only 0 and 1 characters allowed

How to Convert Binary to Decimal

1

Write down the binary number

2

Assign powers of 2 to each digit, starting from the right (2⁰, 2¹, 2², ...)

3

Multiply each binary digit by its corresponding power of 2

4

Add up all the products to get the decimal equivalent

Example: Convert 1011₂ to Decimal

1×2³ + 0×2² + 1×2¹ + 1×2⁰

= 8 + 0 + 2 + 1

= 11₁₀

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