BCDC hexadecimal to binary

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

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

C × 16⁰ = 12
D × 16¹ = 208
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:

12 + 208 + 3072 + 45056 = 48348

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.

48348 ÷ 2 = 24174 with 0 remainder
24174 ÷ 2 = 12087 with 0 remainder
12087 ÷ 2 = 6043 with 1 remainder
6043 ÷ 2 = 3021 with 1 remainder
3021 ÷ 2 = 1510 with 1 remainder
1510 ÷ 2 = 755 with 0 remainder
755 ÷ 2 = 377 with 1 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 BCDC hexadecimal to binary:

BCDC hexadecimal = 1011110011011100 binary

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