Binary Converter

This is a tool to practice converting between decimal and binary representations

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, a Decimal (base 10) number, and Octal (base 8) number

How to Convert Binary to Hexadecimal

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

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

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

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

Note Binary to Octal will use the same Method But using "4 2 1" in groups of 3 digits

How to Convert Binary to Decimal

converting a binary number to a decimal number is a simple process of identifying the place value of each digit, multiplying each digit by its place value, and then adding up all of the products.

A binary number is a number that consists of only 1s and 0s. Binary numbers use the base 2 system (hence the "bi" in binary), as opposed to decimal numbers that use the base 10 system.