AFAA hexadecimal to binary

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

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

A × 16⁰ = 10
A × 16¹ = 160
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:

10 + 160 + 3840 + 40960 = 44970

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.

44970 ÷ 2 = 22485 with 0 remainder
22485 ÷ 2 = 11242 with 1 remainder
11242 ÷ 2 = 5621 with 0 remainder
5621 ÷ 2 = 2810 with 1 remainder
2810 ÷ 2 = 1405 with 0 remainder
1405 ÷ 2 = 702 with 1 remainder
702 ÷ 2 = 351 with 0 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 AFAA hexadecimal to binary:

AFAA hexadecimal = 1010111110101010 binary

Hexadecimal to Binary Converter
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AFAB hexadecimal to binary
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