AFEB hexadecimal to binary

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

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

B × 16⁰ = 11
E × 16¹ = 224
F × 16² = 3840
A × 16³ = 40960

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:

11 + 224 + 3840 + 40960 = 45035

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.

45035 ÷ 2 = 22517 with 1 remainder
22517 ÷ 2 = 11258 with 1 remainder
11258 ÷ 2 = 5629 with 0 remainder
5629 ÷ 2 = 2814 with 1 remainder
2814 ÷ 2 = 1407 with 0 remainder
1407 ÷ 2 = 703 with 1 remainder
703 ÷ 2 = 351 with 1 remainder
351 ÷ 2 = 175 with 1 remainder
175 ÷ 2 = 87 with 1 remainder
87 ÷ 2 = 43 with 1 remainder
43 ÷ 2 = 21 with 1 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 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 AFEB hexadecimal to binary:

AFEB hexadecimal = 1010111111101011 binary

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AFEC hexadecimal to binary
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