BF8C hexadecimal to binary

Here we will show you how to convert the hexadecimal number BF8C 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 BF8C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BF8C by 16⁰, multiply the second to last digit in BF8C by 16¹, multiply the third to last digit in BF8C by 16², multiply the fourth to last digit in BF8C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
8 × 16¹ = 128
F × 16² = 3840
B × 16³ = 45056

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 + 128 + 3840 + 45056 = 49036

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.

49036 ÷ 2 = 24518 with 0 remainder
24518 ÷ 2 = 12259 with 0 remainder
12259 ÷ 2 = 6129 with 1 remainder
6129 ÷ 2 = 3064 with 1 remainder
3064 ÷ 2 = 1532 with 0 remainder
1532 ÷ 2 = 766 with 0 remainder
766 ÷ 2 = 383 with 0 remainder
383 ÷ 2 = 191 with 1 remainder
191 ÷ 2 = 95 with 1 remainder
95 ÷ 2 = 47 with 1 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 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 BF8C hexadecimal to binary:

BF8C hexadecimal = 1011111110001100 binary

Hexadecimal to Binary Converter
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