🔢 Number Systems

Convert binary to decimal

To convert binary to decimal, type the number below and the result appears instantly. Example: 101101 in binary equals 45 in decimal.

Value

Result —

How to convert

Multiply each digit by 2 raised to its position (counting from the right, starting at 0) and add the results. Example: 101101 in binary = 45 in decimal.

Conversion table

Binary to decimal conversion table for common values
Binary	Decimal
1	1
10	2
11	3
100	4
101	5
110	6
111	7
1000	8
1001	9
1010	10
1111	15
10000	16
100000	32
1000000	64
1100100	100
11111111	255
100000000	256
1111101000	1000

About the units

Binary — symbol bin.
Decimal — symbol dec.

Frequently asked questions

How do I convert binary to decimal?

Multiply each digit by 2 raised to its position (counting from the right, starting at 0) and add the results. Example: 101101 in binary = 45 in decimal.

Which digits are allowed in binary?

Base 2: the allowed digits are 0 1.

Are my numbers sent to a server?

No. The conversion runs entirely in your browser and nothing is sent to a server.

Related conversions

Reverse: decimal to binary

Binary to other systems

binary to octal binary to hexadecimal

Other systems to decimal

octal to decimal hexadecimal to decimal

All Number Systems conversions · The full tool in Zayenha Tools