BC7 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BC7 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 BC7 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BC7 by 16⁰, multiply the second to last digit in BC7 by 16¹, multiply the third to last digit in BC7 by 16², multiply the fourth to last digit in BC7 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
C × 16¹ = 192
B × 16² = 2816

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:

7 + 192 + 2816 = 3015

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.

3015 ÷ 2 = 1507 with 1 remainder
1507 ÷ 2 = 753 with 1 remainder
753 ÷ 2 = 376 with 1 remainder
376 ÷ 2 = 188 with 0 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 BC7 hexadecimal to binary:

BC7 hexadecimal = 101111000111 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

BC8 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.