Convert Binary to Decimal

To use this binary to decimal conversion tool, type a binary number like "1101" in the text box, click on the button, and you will get "13" in the answer box. You can the correct answer for large binary numbers as well.








Conversion:

to base-8

Conversion:

to base-16

Conversion:


Binary Numbers

A binary number is a base-2 number that includes just two numbers, 0 & 1. Most modern computer systems, microprocessors, microcontrollers use binary numbers for processing. As you might know, the binary number includes just zeros and ones. It becomes easy for the processors to understand it and make computer organization units work accordingly.

Decimal Numbers

Decimal numbers are the simplest form of numbering systems and use by humans in real life. Decimal numbers are the base-10 numbers which include 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Along with the simplest, decimal numbers are the oldest number. Most of the oldest civilizations used these numbers for trading in ancient times.

Importance of binary to decimal conversion

As you know, binary numbers are zeros and ones. Computer processors can easily understand this number, and it is difficult for humans to read binary numbers. Humans can read and understand decimal numbers, and the computer takes time to read and respond to the decimal numbers. For that reason, most developers use decimal for user interfaces and binary numbers to send a request to computer systems. Using a tool can be helpful if you are working on such projects. When you need to send data from a computer to the user, you can use a decimal to binary converter.

How to Convert Binary to Decimal?

To convert binary number to decimal, you need to follow these steps.


  • Note the binary number that you want to convert. Consider "1101" for an example.

  • Start converting binary number from the Least Significant Digit(the right most number) and multiply the number with it's position power to 2 until the most significant number(the ledt most number). For 1101 number conversion is: (1 * 2^3) + (1 * 2^2) + (0 * 2^1) + (1 + 2^0).

  • After the equation, we get (1 * 2^3) + (1 * 2^2) + (0 * 2^1) + (1 + 2^0) = 8 + 4 + 0 + 1 = 13. So, the final conversion of 1101 binary number into decimal number is 13. You can also check and confirm the same numbers and other numbers with the help the tool.