6F5A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 6F5A to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert 6F5A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 6F5A by 16⁰, multiply the second to last digit in 6F5A by 16¹, multiply the third to last digit in 6F5A by 16², multiply the fourth to last digit in 6F5A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
5 × 16¹ = 80
F × 16² = 3840
6 × 16³ = 24576

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

10 + 80 + 3840 + 24576 = 28506

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

28506 ÷ 2 = 14253 with 0 remainder
14253 ÷ 2 = 7126 with 1 remainder
7126 ÷ 2 = 3563 with 0 remainder
3563 ÷ 2 = 1781 with 1 remainder
1781 ÷ 2 = 890 with 1 remainder
890 ÷ 2 = 445 with 0 remainder
445 ÷ 2 = 222 with 1 remainder
222 ÷ 2 = 111 with 0 remainder
111 ÷ 2 = 55 with 1 remainder
55 ÷ 2 = 27 with 1 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to 6F5A hexadecimal to binary:

6F5A hexadecimal = 110111101011010 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

6F5B hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.