AF86 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AF86 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 AF86 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AF86 by 16⁰, multiply the second to last digit in AF86 by 16¹, multiply the third to last digit in AF86 by 16², multiply the fourth to last digit in AF86 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
8 × 16¹ = 128
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 + 128 + 3840 + 40960 = 44934

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.

44934 ÷ 2 = 22467 with 0 remainder
22467 ÷ 2 = 11233 with 1 remainder
11233 ÷ 2 = 5616 with 1 remainder
5616 ÷ 2 = 2808 with 0 remainder
2808 ÷ 2 = 1404 with 0 remainder
1404 ÷ 2 = 702 with 0 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 AF86 hexadecimal to binary:

AF86 hexadecimal = 1010111110000110 binary

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AF87 hexadecimal to binary
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