AFA6 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AFA6 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 AFA6 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AFA6 by 16⁰, multiply the second to last digit in AFA6 by 16¹, multiply the third to last digit in AFA6 by 16², multiply the fourth to last digit in AFA6 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
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:

6 + 160 + 3840 + 40960 = 44966

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.

44966 ÷ 2 = 22483 with 0 remainder
22483 ÷ 2 = 11241 with 1 remainder
11241 ÷ 2 = 5620 with 1 remainder
5620 ÷ 2 = 2810 with 0 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 AFA6 hexadecimal to binary:

AFA6 hexadecimal = 1010111110100110 binary

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AFA7 hexadecimal to binary
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