AB85 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AB85 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 AB85 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AB85 by 16⁰, multiply the second to last digit in AB85 by 16¹, multiply the third to last digit in AB85 by 16², multiply the fourth to last digit in AB85 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
8 × 16¹ = 128
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:

5 + 128 + 2816 + 40960 = 43909

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.

43909 ÷ 2 = 21954 with 1 remainder
21954 ÷ 2 = 10977 with 0 remainder
10977 ÷ 2 = 5488 with 1 remainder
5488 ÷ 2 = 2744 with 0 remainder
2744 ÷ 2 = 1372 with 0 remainder
1372 ÷ 2 = 686 with 0 remainder
686 ÷ 2 = 343 with 0 remainder
343 ÷ 2 = 171 with 1 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 AB85 hexadecimal to binary:

AB85 hexadecimal = 1010101110000101 binary

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AB86 hexadecimal to binary
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