BF0C hexadecimal to binary

Here we will show you how to convert the hexadecimal number BF0C 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 BF0C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BF0C by 16⁰, multiply the second to last digit in BF0C by 16¹, multiply the third to last digit in BF0C by 16², multiply the fourth to last digit in BF0C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
0 × 16¹ = 0
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 + 0 + 3840 + 45056 = 48908

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.

48908 ÷ 2 = 24454 with 0 remainder
24454 ÷ 2 = 12227 with 0 remainder
12227 ÷ 2 = 6113 with 1 remainder
6113 ÷ 2 = 3056 with 1 remainder
3056 ÷ 2 = 1528 with 0 remainder
1528 ÷ 2 = 764 with 0 remainder
764 ÷ 2 = 382 with 0 remainder
382 ÷ 2 = 191 with 0 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 BF0C hexadecimal to binary:

BF0C hexadecimal = 1011111100001100 binary

Hexadecimal to Binary Converter
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