F87D hexadecimal to binary

Here we will show you how to convert the hexadecimal number F87D 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 F87D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F87D by 16⁰, multiply the second to last digit in F87D by 16¹, multiply the third to last digit in F87D by 16², multiply the fourth to last digit in F87D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
7 × 16¹ = 112
8 × 16² = 2048
F × 16³ = 61440

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:

13 + 112 + 2048 + 61440 = 63613

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.

63613 ÷ 2 = 31806 with 1 remainder
31806 ÷ 2 = 15903 with 0 remainder
15903 ÷ 2 = 7951 with 1 remainder
7951 ÷ 2 = 3975 with 1 remainder
3975 ÷ 2 = 1987 with 1 remainder
1987 ÷ 2 = 993 with 1 remainder
993 ÷ 2 = 496 with 1 remainder
496 ÷ 2 = 248 with 0 remainder
248 ÷ 2 = 124 with 0 remainder
124 ÷ 2 = 62 with 0 remainder
62 ÷ 2 = 31 with 0 remainder
31 ÷ 2 = 15 with 1 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 F87D hexadecimal to binary:

F87D hexadecimal = 1111100001111101 binary

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F87E hexadecimal to binary
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