Converters

Binary to Decimal

A binary to decimal converter changes base-2 numbers into base-10. Enter a binary value (only 0s and 1s) to get its decimal equivalent with each place value shown.

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Why base 2

Binary is the language of computers — every digit is a single on/off bit. Each position represents a power of two, doubling as you move left.

The conversion

Multiply each bit by its place value (1, 2, 4, 8 …) and add the results. The converter lists every term so the contribution of each bit is visible.

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Frequently asked questions

1

How do I convert binary to decimal?

Binary is base 2, using only 0 and 1. Multiply each bit by the power of two matching its position (reading right to left) and sum the results.

2

How do the place values work in binary?

Each position is worth twice the one to its right — 1, 2, 4, 8, 16 … For example, 1011 = 8 + 0 + 2 + 1 = 11.

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