Binary to Hex Converterto Convert Base 2 to Base 16

The Binary to Hex Converter on this page will convert base 2 numbers to base 16 numbers, and show its work.

This free online binary to hexadecimal calculator will convert binary numbers into hexadecimal numbers and display a conversion chart to show how it calculated the answer.

If you're not sure what a binary number is, or you would like to convert a binary number to a decimal number instead, please visit the binary to decimal conversion calculator for a more detailed explanation.

Or, if you are not familiar with what a hexadecimal number is, please visit the decimal to hexadecimal conversion calculator page for a description.

How to Convert Binary to Hexadecimal

If you would like to perform the conversion manually instead of using the binary to hex converter, here are the 5 steps for manually converting a binary (base 2) number into a hexadecimal (base 16) number:

Step #1: Working from right to left, split the binary number into groups of 4 digits. If the left-most grouping has less than 4 digits, make up the difference with zeros. To illustrate this step, as well as the steps that follow, we will use the binary number 11001101101.

Step #1: Create Groups of 4 Digits

 A Binary groups of 4: 0 1 1 0 0 1 1 0 1 1 0 1

Note that 1 zero was added to the front of the left-most grouping to make it a group of 4 digits.

Step #2: Populate the next row with "8 4 2 1" under each grouping. The 8-4-2-1 represents the binary place values for each of the four positions, the combination of which total up to 15 (the highest digit that can be used in a base 16 number, similar to the "9" in the decimal system).

Step #2: Place "8 4 2 1" Under Each Set of 4

 A Binary groups of 4: 0 1 1 0 0 1 1 0 1 1 0 1 B Binary place value : 8 4 2 1 8 4 2 1 8 4 2 1

Step #3: Multiply the each digit in Row A by the corresponding place value in Row B and place the result in Row C.

Step #3: Multiply Digits in Row A by Row B

 A Binary groups of 4: 0 1 1 0 0 1 1 0 1 1 0 1 B Binary place value : 8 4 2 1 8 4 2 1 8 4 2 1 C Product of A * B: 0 4 2 0 0 4 2 0 8 4 0 1

Step #4: Add the products in Row C for each group of 4 and place the total in Row D.

Step #4: Add Products in Row C for Each Group

 A Binary groups of 4: 0 1 1 0 0 1 1 0 1 1 0 1 B Binary place value : 8 4 2 1 8 4 2 1 8 4 2 1 C Product of A * B: 0 4 2 0 0 4 2 0 8 4 0 1 D Sum of 4 C's: 6 6 13

Step #5: Change any values in Row D that are greater than 9 into the hexadecimal letter they are represented by.

Step #5: Convert Values Greater Than 9 to Hex Letters

 A Binary groups of 4: 0 1 1 0 0 1 1 0 1 1 0 1 B Binary place value : 8 4 2 1 8 4 2 1 8 4 2 1 C Product of A * B: 0 4 2 0 0 4 2 0 8 4 0 1 D Sum of 4 C's: 6 6 13 E Hexadecimal digit : 6 6 D

In hexadecimal notation, A=10, B=11, C=12, D=13, E=14, and F=15. Note that the above is how the binary to hex converter shows its work for each conversion.

So you see, the binary number 11001101101 converts to the hexadecimal number 66D, which can be written as 66D16, 66Dh, or 0x66D.

With that, let's use the Binary to Hex Converter to convert base 2 to base 16.

Binary to Hex Converter

Instructions: Enter the binary number you would like to convert into a hexadecimal number, and then click the "Convert Binary to Hexadecimal" button.

Mouse over the blue question marks for a further explanation of each entry field. More in-depth explanations can be found in the glossary of terms located beneath the Binary to Hex Converter.

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Binary number (1's and 0's):
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Binary to Hex Converter Glossary of Terms

Binary system: Number system that uses the base 2 system of expressing values, which consist only of the digits 0 and 1. Base 2 numbers are usually written with a subscripted 2 behind them (10102). The binary system is what electronic devices use for counting and displaying information, as their internal switches recognize a 0 as "off" and a 1 as "on." Each digit within a base 2 number is called a "bit" (comes from binary digit).

Hexadecimal system: Number system that uses the base 16 system of expressing values, which consists of the digits 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E and F. Base 16 numbers are usually written with a subscripted 16 behind them (7D16), a lowercase "h" behind them (7Dh), or a "0x" placed in front of them (0x7D). The hexadecimal system is often used in computer programming because it is more convenient to express values in base 16 mode than it is to express values in binary machine code.

Binary number entry field: Enter the binary number you would like to convert into a hexadecimal number. Note that the entered number may only consist of ones and zeros, and the leading number must not be a zero.

Equivalent hexadecimal number result field: This is the hexadecimal equivalent to the entered binary number. Note that after clicking the Convert Binary to Hexadecimal button the binary to hex converter will display a detailed explanation of how it arrived at the result immediately below this line.

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