What is Binary?

Binary is a number system that only uses two digits: 1 and 0. Computers operate in binary, meaning they store data and perform calculations using only zeros and ones.

What is Decimal?

Decimal is a number system that uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. It is also known as base 10 numbering system since it is based on 10 following symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

How to convert Binary to Decimal?

To convert Binary to Decimal, we need to multiply each binary digit by it's place value, then add up all the results.

Example

Let's convert the binary value 1001101 to Decimal.

First, we need to multiply each binary digit by it's place value.

Binary Digit	Place Value	Result
1	$2^6$	64
0	$2^5$	0
0	$2^4$	0
1	$2^3$	8
1	$2^2$	4
0	$2^1$	0
1	$2^0$	1

Now, we need to add up all the results.

$64 + 0 + 0 + 8 + 4 + 0 + 1 = 77$

Finally, we need to add up all the results. In this case, the final Decimal value is 77. This is the Decimal representation of the binary value 1001101.