7BC1 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 7BC1 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 7BC1 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 7BC1 by 16⁰, multiply the second to last digit in 7BC1 by 16¹, multiply the third to last digit in 7BC1 by 16², multiply the fourth to last digit in 7BC1 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
C × 16¹ = 192
B × 16² = 2816
7 × 16³ = 28672

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:

1 + 192 + 2816 + 28672 = 31681

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.

31681 ÷ 2 = 15840 with 1 remainder
15840 ÷ 2 = 7920 with 0 remainder
7920 ÷ 2 = 3960 with 0 remainder
3960 ÷ 2 = 1980 with 0 remainder
1980 ÷ 2 = 990 with 0 remainder
990 ÷ 2 = 495 with 0 remainder
495 ÷ 2 = 247 with 1 remainder
247 ÷ 2 = 123 with 1 remainder
123 ÷ 2 = 61 with 1 remainder
61 ÷ 2 = 30 with 1 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 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 7BC1 hexadecimal to binary:

7BC1 hexadecimal = 111101111000001 binary

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

7BC2 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.