Binary to Decimal Calculator
Binary Type:
Binary:
Decimal:

## Binary to Decimal Converter

If you are looking for the binary to decimal converter. This is the best online tool for converting binary numbers to decimal numbers.

## What is the Binary number System?

Our computers don't understand our language, it only understands binary numbers. Computer uses only two signals which are on and off which are 0 and 1 and Binary number is one numeric system, which uses two digits code, 0 and 1. That’s why people also call it the base-2 system.

## How to Convert Binary to Decimal Numbers ?

If you want to convert binary to decimal then you want to know the calculation. Here we have one example for you with perfect calculation.

## Example:

Binary Number = 100101010

Here we have 100101010 binary. We want to convert this number to a decimal number. Let’s see how to calculate. Here we have two types of method:

### Method 1:

For binary number with n digits:

dn-1 ... d3 d2 d1 d0

The decimal number is equal to the sum of binary digits (dn) times their power of 2 (2n):

decimal = d0×20 + d1×21 + d2×22 + ...

= 100101010

=(0 * 20) + (1 * 21) + (0 * 22) + (1 * 23) + (0 * 24) + (1 * 25) + (0 * 26)+ (0 * 27) + (0 * 28) + (1 * 29)

= (0 * 2) + (1 * 2) + (0 * 4) + (1 * 8) + (0 * 16) + (1 * 32) + (0 * 64) + (0 * 128) + (1 * 256)

= 0+2+0+8+0+32+0+0+256

= 298

Binary Number 100101010 = 298 Decimal Number

### Method 2:

= 100101010

= First, we split all the Numbers

1 0 0 1 0 1 0 1 0

Now we start with multiply with (0*2) + 1 (Single numbers of the split)

(0*2) + 1 = 1

(1*2) + 0 = 2

(2*2) + 0 = 4

(4*2) + 1 = 9

(9*2) + 0 = 18

(18*2) + 1 = 37

(37*2) + 0 = 74

(74*2) + 1 = 149

(149*2) + 0 = 298

Binary Number 100101010 = 298 Decimal Number

## How to use Binary to Decimal Calculator?

If you don’t know how to convert binary numbers to decimal. Just enter your binary number and you’ll get decimal numbers with just one click.

See More: Decimal To Binary Converter

## Example: Convert 111001 to a Decimal

Binary Number 100101010 = 298 Decimal Number

=(1 * 20) + (0 * 21) + (0 * 22) + (1 * 23) + (1 * 24) + (1 * 25)

= (1 * 2) + (0 * 2) + (0 * 4) + (1 * 8) + (1 * 16) + (1 * 32)

= 1+0+0+8+16+32

= 57

Ans
=
57

## Example:Convert 10010 to a Decimal

= 10010

=(0* 20) + (1 * 21) + (0 * 22) + (0 * 23) + (1 * 24)

= (0 * 2) + (1 * 2) + (0 * 4) + (0 * 8) + (1 * 16)

= 0+2+0+0+16

= 18

Ans
=
18

## Example:Convert 10111 to a Decimal

= 10111

First, we split all the Numbers

1 0 1 1 1

Now we start with multiply with (0*2) + 1 (Single numbers of the split)

(0*2) + 1 = 1

(1*2) + 0 = 2

(2*2) + 1 = 5

(5*2) + 1 = 11

(11*2) +1 = 23

Ans
=
23

## Binary to Decimal Table

Here is the binary to decimal conversion table.

Binary Number Decimal Number
0000 0
0001 1
0010 2
0011 3
0100 4
0101 5
0110 6
0.111 7
1000 8
1001 9