BC99 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BC99 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 BC99 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BC99 by 16⁰, multiply the second to last digit in BC99 by 16¹, multiply the third to last digit in BC99 by 16², multiply the fourth to last digit in BC99 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
9 × 16¹ = 144
C × 16² = 3072
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:

9 + 144 + 3072 + 45056 = 48281

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.

48281 ÷ 2 = 24140 with 1 remainder
24140 ÷ 2 = 12070 with 0 remainder
12070 ÷ 2 = 6035 with 0 remainder
6035 ÷ 2 = 3017 with 1 remainder
3017 ÷ 2 = 1508 with 1 remainder
1508 ÷ 2 = 754 with 0 remainder
754 ÷ 2 = 377 with 0 remainder
377 ÷ 2 = 188 with 1 remainder
188 ÷ 2 = 94 with 0 remainder
94 ÷ 2 = 47 with 0 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 BC99 hexadecimal to binary:

BC99 hexadecimal = 1011110010011001 binary

Hexadecimal to Binary Converter
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