Number 1010 from Binary to Decimal System

How to convert the number 1010 from binary to decimal? The answer is 10. Online converter.

the answer:

10

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About Binary System

The binary system is a way of representing numbers using only two digits: 0 and 1. Unlike the decimal system, which has ten digits (0 to 9), the binary system has only two digits, and we use them repeatedly.

How to Convert Binary to Decimal

Converting a number from binary to decimal is quite simple. In the binary system, we have only two digits: 0 and 1.

To convert a number, for example, 1011 from binary to decimal, multiply each digit by 2 raised to the corresponding power and add up the results.

For the number 1011:

  1. 1 * 2^3 = 8
  2. 0 * 2^2 = 0
  3. 1 * 2^1 = 2
  4. 1 * 2^0 = 1

Now add up all the values obtained: 8 + 0 + 2 + 1 = 11. Thus, the number 1011 in binary is equal to 11 in the decimal system.

So, to convert a number from the binary system to the decimal system, multiply each digit by the corresponding power of 2 and add the results.

Alex Fedorov
Created by Alex Fedorov
Last updated : December 7, 2024