To convert Hexadecimal to Binary, input decimal value in the box below, and then click on the big blue button that says “CONVERT TO BINARY” and your Binary number is generated, copy it or you can download output file.

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## How to Convert Hex to Binary?

In a Hexadecimal number system there are sixteen (16) alphanumeric values from 0 to 9 and A to F. In this number system every number (value) represents with 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E and F. The base of this number system is 16, because it has 16 alphanumeric values. Here A is 10, B is 11, C is 12, D is 14, E is 15 and F is 16.

Example: What is 0xA5 in base 10?

0xA5 = A516 = (10 x 161) + (5 x 160) = 16510

## Binary Numbering System

In Binary number system there are only two digits that are 0 and 1. In this number system every number (value) represents with 0 and. The base of binary number system is 2, because it has only two digits. The binary system is mostly used in computers and electronic devices

Example: What is 0b110 in base 10?

0b110 = 1102 = (1 x 22) + (1 x 21) + (0 x 10)

## How to convert Hexadecimal to Binary Number

If you have a hexadecimal number in question and you're asked to convert it into its binary equivalent, then:

• Step 1: At first convert each hexadecimal digit into a 4-bit-equivalent binary number.

• Step 2: Now combine all those digits we get from converting each hexadecimal into binary.

• Step 3: Here we have the final binary equivalent.

Here are few examples below to understand the process in brief:

Example 1.Convert 29C16 into an equivalent binary number.

Solution. The hexadecimal number given is 2 9 C 4-bit binary equivalent 0010 1001 1100

Hence the equivalent binary number is (001010011100)2.

Example 2.Convert 9E.AF216 into an equivalent binary number.

Solution. The hexadecimal number given is 9 E A F 2

4-bit binary equivalent 1001 1110 1010 1111 0010

Hence the equivalent binary number is (10011110.101011110010)2.

#### Hex Binary Conversion Chart

 Base 16 Base 2 0 0000 1 0001 2 0010 3 0011 4 0100 5 0101 6 0110 7 0111 8 1000 9 1001 A 1010 B 1011 C 1100 D 1101 E 1110 F 1111