A8C5 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A8C5 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 A8C5 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A8C5 by 16⁰, multiply the second to last digit in A8C5 by 16¹, multiply the third to last digit in A8C5 by 16², multiply the fourth to last digit in A8C5 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
C × 16¹ = 192
8 × 16² = 2048
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 + 192 + 2048 + 40960 = 43205

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.

43205 ÷ 2 = 21602 with 1 remainder
21602 ÷ 2 = 10801 with 0 remainder
10801 ÷ 2 = 5400 with 1 remainder
5400 ÷ 2 = 2700 with 0 remainder
2700 ÷ 2 = 1350 with 0 remainder
1350 ÷ 2 = 675 with 0 remainder
675 ÷ 2 = 337 with 1 remainder
337 ÷ 2 = 168 with 1 remainder
168 ÷ 2 = 84 with 0 remainder
84 ÷ 2 = 42 with 0 remainder
42 ÷ 2 = 21 with 0 remainder
21 ÷ 2 = 10 with 1 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 A8C5 hexadecimal to binary:

A8C5 hexadecimal = 1010100011000101 binary

Hexadecimal to Binary Converter
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