B8C2 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B8C2 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 B8C2 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B8C2 by 16⁰, multiply the second to last digit in B8C2 by 16¹, multiply the third to last digit in B8C2 by 16², multiply the fourth to last digit in B8C2 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
C × 16¹ = 192
8 × 16² = 2048
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:

2 + 192 + 2048 + 45056 = 47298

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.

47298 ÷ 2 = 23649 with 0 remainder
23649 ÷ 2 = 11824 with 1 remainder
11824 ÷ 2 = 5912 with 0 remainder
5912 ÷ 2 = 2956 with 0 remainder
2956 ÷ 2 = 1478 with 0 remainder
1478 ÷ 2 = 739 with 0 remainder
739 ÷ 2 = 369 with 1 remainder
369 ÷ 2 = 184 with 1 remainder
184 ÷ 2 = 92 with 0 remainder
92 ÷ 2 = 46 with 0 remainder
46 ÷ 2 = 23 with 0 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 B8C2 hexadecimal to binary:

B8C2 hexadecimal = 1011100011000010 binary

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