Binary to Hexadecimal Conversion Steps, Formula, and Example

In the event that we need to convert a number from binary to hexadecimal, this article, which was created and published, will walk us through the necessary steps and formula, as well as provide an example.

However, before we move on to the steps, formula, and example of converting binary to hexadecimal, we need to take a quick look at these two numbers. So, what exactly are we holding out for? Let's talk quickly about these two numbers, shall we?

Binary to Hexadecimal Steps

In order to convert any number from the binary number system to the hexadecimal number system, we need to follow these steps in the correct order:

  1. The digits of the binary number should be separated into four pairs each.
  2. When creating a pair of 4-bit numbers, start with the least significant bit (LSB) and work your way up to the most significant bit (MSB).
  3. Converting each 4-bit binary number to its corresponding hexadecimal value is the next step.
  4. Now add up all of the numbers that have been converted; this will result in the same number, but expressed using the hexadecimal number system.

Binary to Hexadecimal Formula

Here are the rules that help you convert any given binary number into its equivalent hexadecimal value: Let's suppose that the user has entered 1101110 as a binary number input.

Now convert each of the two binary pairs into the hexadecimal value that corresponds to it, as shown in the two boxes given below:

23  22  21  20
8   4   2   1

0   1   1   0    (last or second binary pair)
    4   2        (write below 1 only)
=4+2             (sum up all values)

The first binary pair's value has been converted into its corresponding hexadecimal value, which is as follows:

23  22  21  20
8   4   2   1

1   1   1   0    (last or second binary pair)
8   4   2        (write below 1 only)
=8+4+2             (sum up all values)

Now we have two hexadecimal digits, which are 6 and 14, and we've already told you that digits 10 to 15 must be replaced with characters ranging from A to F. As a result, 6 will remain unchanged, and 14 will be converted with E. That is, 6E is the final hexadecimal value of a given binary number 1101110. Therefore, (1101110)2 = (6E)16.

Binary to Hexadecimal Example

Let's take an example to see how we can convert a binary number to a hexadecimal number.

We have a number, say, 1010111110110010; now we have to convert it into hexadecimal form. See the figure given below:

binary to hexadecimal conversion

As you can see from the above figure, we have a total of 4 digits, which are A, F, B, and 2. Now combine all the four digits, we will get AFB2, which is the same number but in hexadecimal form.

Therefore, (1010111110110010)2 = (AFB2)16

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