Binary to Decimal Converter

Convert binary numbers to decimal numbers easily and accurately.

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Enter a binary number (0-1)

Enter a decimal number (0-9)

Table of Contents

1 How to Convert Binary to Decimal
2 Common Examples
Guide

How to Convert Binary to Decimal

Binary (base-2) uses only two digits: 0 and 1. Each position in a binary number represents a power of 2.

Steps to Convert:

  1. 1
    Write down the binary number
  2. 2
    Starting from the right, multiply each digit by 2 raised to the power of its position (starting from 0)
  3. 3
    Add up all the results
Example:

11010 = 1×2⁴ + 1×2³ + 0×2² + 1×2¹ + 0×2⁰

= 16 + 8 + 0 + 2 + 0

= 26

Binary Position Values:

2⁰ = 1

2¹ = 2

2² = 4

2³ = 8

2⁴ = 16

2⁵ = 32

2⁶ = 64

2⁷ = 128

Examples

Common Examples

Example 1 Basic Numbers

0 = 0

1 = 1

10 = 2

Example 2 Common Values

100 = 4

1000 = 8

10000 = 16

Example 3 Mixed Numbers

101 = 5

110 = 6

111 = 7

Example 4 Larger Numbers

1000 = 8

10000 = 16

100000 = 32

Tools

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