FF7C hexadecimal to binary

Here we will show you how to convert the hexadecimal number FF7C 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 FF7C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FF7C by 16⁰, multiply the second to last digit in FF7C by 16¹, multiply the third to last digit in FF7C by 16², multiply the fourth to last digit in FF7C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
7 × 16¹ = 112
F × 16² = 3840
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:

12 + 112 + 3840 + 61440 = 65404

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.

65404 ÷ 2 = 32702 with 0 remainder
32702 ÷ 2 = 16351 with 0 remainder
16351 ÷ 2 = 8175 with 1 remainder
8175 ÷ 2 = 4087 with 1 remainder
4087 ÷ 2 = 2043 with 1 remainder
2043 ÷ 2 = 1021 with 1 remainder
1021 ÷ 2 = 510 with 1 remainder
510 ÷ 2 = 255 with 0 remainder
255 ÷ 2 = 127 with 1 remainder
127 ÷ 2 = 63 with 1 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 FF7C hexadecimal to binary:

FF7C hexadecimal = 1111111101111100 binary

Hexadecimal to Binary Converter
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