A5F5 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A5F5 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 A5F5 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A5F5 by 16⁰, multiply the second to last digit in A5F5 by 16¹, multiply the third to last digit in A5F5 by 16², multiply the fourth to last digit in A5F5 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
F × 16¹ = 240
5 × 16² = 1280
A × 16³ = 40960

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:

5 + 240 + 1280 + 40960 = 42485

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.

42485 ÷ 2 = 21242 with 1 remainder
21242 ÷ 2 = 10621 with 0 remainder
10621 ÷ 2 = 5310 with 1 remainder
5310 ÷ 2 = 2655 with 0 remainder
2655 ÷ 2 = 1327 with 1 remainder
1327 ÷ 2 = 663 with 1 remainder
663 ÷ 2 = 331 with 1 remainder
331 ÷ 2 = 165 with 1 remainder
165 ÷ 2 = 82 with 1 remainder
82 ÷ 2 = 41 with 0 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 A5F5 hexadecimal to binary:

A5F5 hexadecimal = 1010010111110101 binary

Hexadecimal to Binary Converter
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