Convert Binary to Decimal Online - BIN 2 DEC Calculator

Easily convert binary to decimal with our online free simple tool. Get INSTANT results with our converter.

How to convert binary to decimal with our free calculator

Converting binary to decimal is extremely easy with our converter:

  • Step 1: Enter or paste a binary value in the text box on the left.
  • Step 2: Our calculator does all the math... Instantly.
  • Step 1: Get a decimal value in the box on the right.
  • Step 2: Do you need to convert again? Go!

How to convert binary to decimal

Operating with binary numbers is a very simple task for a computer since they work with this type of number (ones and zeros). Humans need to work on the base 10 decimal system, since they are used to this system, and operating in binary is extremely complicated.

Converting binary to decimal allows easier communication between man and machine.

In the decimal system, quantities are represented using the number 10 as a base, so it is made up of 10 different digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. In the binary system only 2 numbers are used, one and zero (0 if no electric current passes, 1 if it passes).

To convert binary to decimal the digits must be numbered from right to left starting from zero, each number is assigned the corresponding base power 2, and the powers are added at the end.

Binary to decimal examples

The best way to learn how to go convert binary to decimal is with an example:

To convert the binary number 1111010 to decimal, its digits must be ordered from right to left and multiplied by the power of two. Thus we have:

1 * 2^0 = 1 * 1 = 1

1 * 2^1 = 1 * 2 = 2

0 * 2^2 = 1 * 4 = 0

1 * 2^3 = 1 * 8 = 8

1 * 2^4 = 1 * 16 = 16

1 * 2^5 = 1 * 32 = 32

0 * 2^6 = 0 * 64 = 0

Now, we add all the results obtained: 1+2+0+8+16+32+64 = 123. The binary number 1111010 corresponds to the decimal number 123.

Let's see another example. We have the binary number 100101, we order it from right to left and multiply it by its power of 2.

1 * 2^0 = 1 * 1 = 1

0 * 2^1 = 0 * 2 = 0

1 * 2^2 = 1 * 4 = 4

0 * 2^3 = 0 * 8 = 0

0 * 2^4 = 0 * 16 = 0

1 * 2^5 = 1 * 32 = 32

The sum of all these operations is: 1+0+4+0+0+32= 37. The binary number 100101 when converted to decimal results in 37.

Converting binary to decimal online automatically

Although the process to convert binary into decimal is very simple, it is normal to use a specific tool or an online platform to carry out the conversion automatically. On the internet, there is a wide range of platforms where you can convert from binary to decimal as in useful.tools (you just have to enter the binary number and press the convert button).

We have seen the process to convert binary to decimal. It is important to remember that the order of the digits must be done from right to left, and then proceed to multiply it by the power of two. If the order of the digits is reversed the result will be wrong.

The conversion between both types of numbers is usually done with a program or a web portal, but it is always good to know what are the necessary operations to doing it.

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Feel free to use our free Binary to Decimal online converter as much as you need. Thank you very much for sharing our conversion tool with your friends and family.