In this tutorial we will learn binary to decimal conversion for an integer number.

Before we dive into the main topic lets talk a little about Decimal and Binary Number System that we are going to work with in this tutorial.

A decimal number system consists of 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. So, any number that we use in our daily life is actually in decimal number system.

A binary number system consists of only 2 digits: 0 and 1. And it is most commmonly used in computers.

How to convert a binary number into decimal number?

to convert a binary number into decimal form we have to multiply ones place by 2^{0} tens place by 2^{1} hundreds place by 2^{2} and so on…

Convert binary number 1010_{(base 2)} into decimal form

The following table shows the places, binary number and the multipliers for the corresponding places.

So, the required decimal number is 1010_{(base 2)} = 10_{(base 10)} Alternatively, (1010)_{2} = (10)_{10} Where, (base 10) means the number is in decimal number system and (base 2) means the number is in binary number system.

Convert binary number 110101_{(base 2)} into decimal form

The following table shows the places, binary number and the multipliers for the corresponding places.

So, the required decimal number is 110101_{(base 2)} = 53_{(base 10)} Alternatively, (110101)_{2} = (53)_{10} Where, (base 10) means the number is in decimal number system and (base 2) means the number is in binary number system.