AI & Computing

Binary to Decimal Converter (and Decimal to Binary)

Convert between binary and decimal in either direction.

By TheCalcTools Updated Formula checked and tested

Your numbers

Your results

Result
Result
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Hexadecimal
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Bits
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Padded to bytes
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Binary to Decimal Converter (and Decimal to Binary) by TheCalcTools

How the Binary to Decimal Converter (and Decimal to Binary) works

In binary, each position is a power of two: 1, 2, 4, 8, 16, 32 … from the right. Add the place values where there is a 1: 101101 = 32 + 8 + 4 + 1 = 45.

To go the other way, repeatedly divide by 2 and read the remainders from the last to the first.

The formula

Decimal = Σ bit × 2^position

Worked example

Using the default values shown in the calculator:

ConvertBinary to decimal
Binary number101101
Decimal number45
  1. 101101 = 32 + 8 + 4 + 1 = 45.

Result:

Result45
Hexadecimal2D
Bits0
Padded to bytes100101101

Frequently asked questions

What is the largest number in 8 bits?

11111111 = 255, so a byte holds 0 to 255.

Sources and further reading

Number Base Converter (Binary, Octal, Decimal, Hex)Type a number in any base to see it in binary, octal, decimal and hexadecimal Bitwise Calculator (AND, OR, XOR, NOT)Enter two numbers to see their bitwise AND, OR, XOR and NOT Two's Complement Calculator (Signed Binary)Convert a signed number to two's complement, or read a bit pattern as signed and…

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This calculator gives estimates for information only. Check important results independently before you rely on them. See our disclaimer.