AF58 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AF58 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 AF58 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AF58 by 16⁰, multiply the second to last digit in AF58 by 16¹, multiply the third to last digit in AF58 by 16², multiply the fourth to last digit in AF58 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
5 × 16¹ = 80
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:

8 + 80 + 3840 + 40960 = 44888

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.

44888 ÷ 2 = 22444 with 0 remainder
22444 ÷ 2 = 11222 with 0 remainder
11222 ÷ 2 = 5611 with 0 remainder
5611 ÷ 2 = 2805 with 1 remainder
2805 ÷ 2 = 1402 with 1 remainder
1402 ÷ 2 = 701 with 0 remainder
701 ÷ 2 = 350 with 1 remainder
350 ÷ 2 = 175 with 0 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 AF58 hexadecimal to binary:

AF58 hexadecimal = 1010111101011000 binary

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AF59 hexadecimal to binary
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