87DC hexadecimal to binary

Here we will show you how to convert the hexadecimal number 87DC 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 87DC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 87DC by 16⁰, multiply the second to last digit in 87DC by 16¹, multiply the third to last digit in 87DC by 16², multiply the fourth to last digit in 87DC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
D × 16¹ = 208
7 × 16² = 1792
8 × 16³ = 32768

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 + 1792 + 32768 = 34780

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.

34780 ÷ 2 = 17390 with 0 remainder
17390 ÷ 2 = 8695 with 0 remainder
8695 ÷ 2 = 4347 with 1 remainder
4347 ÷ 2 = 2173 with 1 remainder
2173 ÷ 2 = 1086 with 1 remainder
1086 ÷ 2 = 543 with 0 remainder
543 ÷ 2 = 271 with 1 remainder
271 ÷ 2 = 135 with 1 remainder
135 ÷ 2 = 67 with 1 remainder
67 ÷ 2 = 33 with 1 remainder
33 ÷ 2 = 16 with 1 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 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 87DC hexadecimal to binary:

87DC hexadecimal = 1000011111011100 binary

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

87DD hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.