F38D hexadecimal to binary

Here we will show you how to convert the hexadecimal number F38D 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 F38D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F38D by 16⁰, multiply the second to last digit in F38D by 16¹, multiply the third to last digit in F38D by 16², multiply the fourth to last digit in F38D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
8 × 16¹ = 128
3 × 16² = 768
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 + 128 + 768 + 61440 = 62349

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.

62349 ÷ 2 = 31174 with 1 remainder
31174 ÷ 2 = 15587 with 0 remainder
15587 ÷ 2 = 7793 with 1 remainder
7793 ÷ 2 = 3896 with 1 remainder
3896 ÷ 2 = 1948 with 0 remainder
1948 ÷ 2 = 974 with 0 remainder
974 ÷ 2 = 487 with 0 remainder
487 ÷ 2 = 243 with 1 remainder
243 ÷ 2 = 121 with 1 remainder
121 ÷ 2 = 60 with 1 remainder
60 ÷ 2 = 30 with 0 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 F38D hexadecimal to binary:

F38D hexadecimal = 1111001110001101 binary

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F38E hexadecimal to binary
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