B1CC hexadecimal to binary

Here we will show you how to convert the hexadecimal number B1CC 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 B1CC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B1CC by 16⁰, multiply the second to last digit in B1CC by 16¹, multiply the third to last digit in B1CC by 16², multiply the fourth to last digit in B1CC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
C × 16¹ = 192
1 × 16² = 256
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 + 192 + 256 + 45056 = 45516

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.

45516 ÷ 2 = 22758 with 0 remainder
22758 ÷ 2 = 11379 with 0 remainder
11379 ÷ 2 = 5689 with 1 remainder
5689 ÷ 2 = 2844 with 1 remainder
2844 ÷ 2 = 1422 with 0 remainder
1422 ÷ 2 = 711 with 0 remainder
711 ÷ 2 = 355 with 1 remainder
355 ÷ 2 = 177 with 1 remainder
177 ÷ 2 = 88 with 1 remainder
88 ÷ 2 = 44 with 0 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 B1CC hexadecimal to binary:

B1CC hexadecimal = 1011000111001100 binary

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B1CD hexadecimal to binary
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