# Binary to Hex and Hex to Binary —

This is the continuation of the learning binary series.

Be sure to read my binary blog post and hexadecimal blog post before you read this article on binary to hex.

## Binary to hexadecimal

Lets start with a binary number

1110010111010

As with binary numbers you start from right to left.

Starting from right you divide the binary numbers into nibbles.

1 | 1 1 0 0 | 1 0 1 1 | 1 0 1 0

1 8 4 0 0 8 0 2 1 8 0 2 0

*Remember the* *Rule of thumb!
*For every number you do not use you put a 0(off).

1 | 0 + 0 + 4 + 8 | 1 + 2 + 0 + 8 | 0 + 2 + 0 + 8

1 | 12 | 11 | 10

Looking at the hex chart you can now substitute the numbers for the hex

1 | C | B | A

## Hexadecimal to Binary

Lets star with a hex number

F47B

Using the hex chart convert the hex to decimal numbers.

F | 4 | 7 | B

15 4 7 11

Now convert each decimal number into binary

1111 | 0100 | 0111 | 1011

8 + 4 + 2 + 1 | 0 + 4 + 0 + 0 | 0 + 4 + 2 + 1 | 8 + 0 + 2 + 1

15 4 7 | 11

The answer is

11110100011111011

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Categorised as: Binary

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