Convert Binary Number to Decimal

Decimal Number:

The decimal number system is also known as the base 10 numeral system. It uses ten digits from 0 to 9. In the decimal number system, the positions continuous to the left of the decimal point represent units, tens, hundreds, thousands and so on. Thus, the base of the decimal number system is 10.

Binary Number :

A binary number system is defined as a number that is used in binary systems. It is also called base 2 numeral system. It represents the numeric values with two symbols, 0 (zero) and 1 (one).

How to convert Binary Number to Decimal?

This Code With Nick article will teach you how to convert a binary number to decimal.




 To convert a binary number to decimal, follow these steps:

1. Write down the binary number you want to convert.

2. Write down the place values of each digit in the binary number. The rightmost digit is in the "ones" place, the next digit to the left is in the "twos" place, the next is in the "fours" place, and so on. For example, in the binary number 1011, the rightmost digit is in the ones place, the next to the left is in the twos place, the next is in the fours place, and the leftmost digit is in the eights place.

3. Starting with the rightmost digit, multiply each digit in the binary number by its corresponding place value. For example, if the binary number is 1011, you would do the following multiplication: 1 × 1 (for the ones place) + 1 × 2 (for the twos place) + 0 × 4 (for the fours place) + 1 × 8 (for the eights place).

4. Add up the results of the multiplications to get the decimal equivalent of the binary number. In this example, 1 × 1 + 1 × 2 + 0 × 4 + 1 × 8 = 11, so the decimal equivalent of the binary number 1011 is 11.

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