B63C hexadecimal to binary

Here we will show you how to convert the hexadecimal number B63C 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 B63C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B63C by 16⁰, multiply the second to last digit in B63C by 16¹, multiply the third to last digit in B63C by 16², multiply the fourth to last digit in B63C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
3 × 16¹ = 48
6 × 16² = 1536
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 + 48 + 1536 + 45056 = 46652

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.

46652 ÷ 2 = 23326 with 0 remainder
23326 ÷ 2 = 11663 with 0 remainder
11663 ÷ 2 = 5831 with 1 remainder
5831 ÷ 2 = 2915 with 1 remainder
2915 ÷ 2 = 1457 with 1 remainder
1457 ÷ 2 = 728 with 1 remainder
728 ÷ 2 = 364 with 0 remainder
364 ÷ 2 = 182 with 0 remainder
182 ÷ 2 = 91 with 0 remainder
91 ÷ 2 = 45 with 1 remainder
45 ÷ 2 = 22 with 1 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 B63C hexadecimal to binary:

B63C hexadecimal = 1011011000111100 binary

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