AB58 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AB58 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 AB58 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AB58 by 16⁰, multiply the second to last digit in AB58 by 16¹, multiply the third to last digit in AB58 by 16², multiply the fourth to last digit in AB58 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
5 × 16¹ = 80
B × 16² = 2816
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 + 2816 + 40960 = 43864

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.

43864 ÷ 2 = 21932 with 0 remainder
21932 ÷ 2 = 10966 with 0 remainder
10966 ÷ 2 = 5483 with 0 remainder
5483 ÷ 2 = 2741 with 1 remainder
2741 ÷ 2 = 1370 with 1 remainder
1370 ÷ 2 = 685 with 0 remainder
685 ÷ 2 = 342 with 1 remainder
342 ÷ 2 = 171 with 0 remainder
171 ÷ 2 = 85 with 1 remainder
85 ÷ 2 = 42 with 1 remainder
42 ÷ 2 = 21 with 0 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 AB58 hexadecimal to binary:

AB58 hexadecimal = 1010101101011000 binary

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AB59 hexadecimal to binary
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