Binary to Decimal conversion
Our binary to decimal converter is a free conversion tool enabling you to easily convert from binary to decimal.
What is the binary number system?
The binary number system is a base 2 number system. It only uses the digits 0 and 1. On the other hand, decimal is a base 10 number system since it uses ten digits, 0 to 9.
Often you’ll need to convert a binary number to its decimal value since most people use the decimal system. Binary numbers are often used in computing applications.
What is the decimal number system?
In mathematics, the decimal system, also called the Hindu-Arabic number system or Arabic number system, is a positional numeral system that uses 10 as the base and requires 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. It also requires a dot (decimal point) to represent decimal fractions.
In this scheme, the numerals denoting a number take different place values depending upon the position.
How to Convert Binary to Decimal
You can use the positional notation method to convert a binary number to a decimal. To use this method, multiply each digit in the binary number from the rightmost to the left by 2 to the power of n, where n is the distance from the right.
So, reading the binary number from right to left, the furthest digit to the right is equal to the digit times 2 to the power 0. The integer that is one position from the right is similar to the digit times 2 to the power 1.
Binary to Decimal Formula
decimal number10 = (d0 × 20) + (d1 × 21) + … + (dn-1 × 2n-1)
Examples
- convert the binary number 1011 to decimal
- decimal number = (1 x 23) + (0 x 22) + (1 x 21) + (1 x 20)
decimal number = 1110 - convert the binary number 101101 to decimal
- decimal number = (1 x 25) + (0 x 24) + (1 x 23) + (1 x 22) + (0 x 21) + (1 x 20)
decimal number = 4510 - convert the binary number 1011010 to decimal
- decimal number = (1 x 26) + (0 x 25) + (1 x 24) + (1 x 23) + (0 x 22) + (1 x 21) + (0 x 20)
decimal number = 9010
How to use our binary to decimal converter
Follow these 3 simple steps to use our binary to decimal converter
- Input the binary number you wish to convert
- Click on convert and watch this result display in the box below it
- Click Reset to reset the binary value
Binary to Decimal Conversion Table
| binary | decimal |
|---|---|