EFFD hexadecimal to binary

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

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

D × 16⁰ = 13
F × 16¹ = 240
F × 16² = 3840
E × 16³ = 57344

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 + 240 + 3840 + 57344 = 61437

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.

61437 ÷ 2 = 30718 with 1 remainder
30718 ÷ 2 = 15359 with 0 remainder
15359 ÷ 2 = 7679 with 1 remainder
7679 ÷ 2 = 3839 with 1 remainder
3839 ÷ 2 = 1919 with 1 remainder
1919 ÷ 2 = 959 with 1 remainder
959 ÷ 2 = 479 with 1 remainder
479 ÷ 2 = 239 with 1 remainder
239 ÷ 2 = 119 with 1 remainder
119 ÷ 2 = 59 with 1 remainder
59 ÷ 2 = 29 with 1 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 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 EFFD hexadecimal to binary:

EFFD hexadecimal = 1110111111111101 binary

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EFFE hexadecimal to binary
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