FC5A hexadecimal to binary

Here we will show you how to convert the hexadecimal number FC5A 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 FC5A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FC5A by 16⁰, multiply the second to last digit in FC5A by 16¹, multiply the third to last digit in FC5A by 16², multiply the fourth to last digit in FC5A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
5 × 16¹ = 80
C × 16² = 3072
F × 16³ = 61440

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 + 3072 + 61440 = 64602

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.

64602 ÷ 2 = 32301 with 0 remainder
32301 ÷ 2 = 16150 with 1 remainder
16150 ÷ 2 = 8075 with 0 remainder
8075 ÷ 2 = 4037 with 1 remainder
4037 ÷ 2 = 2018 with 1 remainder
2018 ÷ 2 = 1009 with 0 remainder
1009 ÷ 2 = 504 with 1 remainder
504 ÷ 2 = 252 with 0 remainder
252 ÷ 2 = 126 with 0 remainder
126 ÷ 2 = 63 with 0 remainder
63 ÷ 2 = 31 with 1 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 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 FC5A hexadecimal to binary:

FC5A hexadecimal = 1111110001011010 binary

Hexadecimal to Binary Converter
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FC5B hexadecimal to binary
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