EFAE hexadecimal to binary

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

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

E × 16⁰ = 14
A × 16¹ = 160
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:

14 + 160 + 3840 + 57344 = 61358

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.

61358 ÷ 2 = 30679 with 0 remainder
30679 ÷ 2 = 15339 with 1 remainder
15339 ÷ 2 = 7669 with 1 remainder
7669 ÷ 2 = 3834 with 1 remainder
3834 ÷ 2 = 1917 with 0 remainder
1917 ÷ 2 = 958 with 1 remainder
958 ÷ 2 = 479 with 0 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 EFAE hexadecimal to binary:

EFAE hexadecimal = 1110111110101110 binary

Hexadecimal to Binary Converter
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EFAF hexadecimal to binary
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