B3FC hexadecimal to binary

Here we will show you how to convert the hexadecimal number B3FC 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 B3FC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B3FC by 16⁰, multiply the second to last digit in B3FC by 16¹, multiply the third to last digit in B3FC by 16², multiply the fourth to last digit in B3FC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
F × 16¹ = 240
3 × 16² = 768
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 + 240 + 768 + 45056 = 46076

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.

46076 ÷ 2 = 23038 with 0 remainder
23038 ÷ 2 = 11519 with 0 remainder
11519 ÷ 2 = 5759 with 1 remainder
5759 ÷ 2 = 2879 with 1 remainder
2879 ÷ 2 = 1439 with 1 remainder
1439 ÷ 2 = 719 with 1 remainder
719 ÷ 2 = 359 with 1 remainder
359 ÷ 2 = 179 with 1 remainder
179 ÷ 2 = 89 with 1 remainder
89 ÷ 2 = 44 with 1 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 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 B3FC hexadecimal to binary:

B3FC hexadecimal = 1011001111111100 binary

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B3FD hexadecimal to binary
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