# Hex to Binary Converter

Write the hexadecimal value and click calculate button to get the binary number.

Error: UnKnown number
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## Hex to Binary

Hex to Binary converter is used to convert hexadecimal numbers to binary numbers.

## Give a brief idea about Hex to binary conversion

For conversion from hexadecimal to binary first, convert it in decimal and then take its lcm with 2 and write the remainder backwardly with base 2 and similarly, for converting in octal take lcm with 8 and write the remainder backwardly with base 8

## How to convert hex to binary?

### Example 1:

Change (41)16 in the binary number.

Solution

Step 1: Convert hex to decimal number

(41)16 = 4 × 161 + 1 × 160 = 64 + 1 = (65)10

Step 2: Convert decimal to binary number to get hex to binary result.

 2 65 2 32 - 1 2 16 – 0 2 8 - 0 2 4 – 0 2 2 – 0 1 - 0

(65)10 = (1000001)2

### Example 2:

Change (81)16 in the binary number.

Ans:

Solution

Step 1: Convert hex to decimal number

(81)16 = 8 × 161 + 1 × 160 = 128 + 1 = (129)10

Step 2: Convert decimal to binary number to get hex to binary result.

 2 129 2 64 – 1 2 32 - 0 2 16 – 0 2 8 - 0 2 4 – 0 2 2 – 0 1 - 0

(65)10 = (10000001)2