How to Convert From Binary to Decimal

How to Convert From Binary to Decimal. The number system we most commonly use, called decimal, is a base 10 system, meaning it uses a pattern of 10 numbers. The binary number system is a base 2 system that uses zeros and ones. Computers operate on the binary system, so learning it has many practical applications. Converting from decimal to binary is challenging, so it is best to learn to convert binary to decimal first.

Step

Get a piece of paper and a pen. Write the binary number down.

Step

Count the number of digits in the binary number. For each digit, list the powers of two from right to left in order, starting with 1 until you have one power of two for each digit. For example, for a seven-digit binary number, you would list 64, 32, 16, 8, 4, 2,1.

Step

Connect the binary digits with their corresponding powers of two with a straight line. In the above example, the binary digit furthest to the right would be connected to the 1.

Step

Draw a line under the numbers you have listed. Go through the binary numbers and if the binary number is 1, bring down the power of two and write it below the line. If the binary number is 0, put a 0 below the line.

Step

Convert the binary numbers to decimal by adding the numbers you wrote below the line. The sum of the numbers is the decimal equivalent of the binary number.