AD24 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AD24 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 AD24 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AD24 by 16⁰, multiply the second to last digit in AD24 by 16¹, multiply the third to last digit in AD24 by 16², multiply the fourth to last digit in AD24 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
2 × 16¹ = 32
D × 16² = 3328
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:

4 + 32 + 3328 + 40960 = 44324

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.

44324 ÷ 2 = 22162 with 0 remainder
22162 ÷ 2 = 11081 with 0 remainder
11081 ÷ 2 = 5540 with 1 remainder
5540 ÷ 2 = 2770 with 0 remainder
2770 ÷ 2 = 1385 with 0 remainder
1385 ÷ 2 = 692 with 1 remainder
692 ÷ 2 = 346 with 0 remainder
346 ÷ 2 = 173 with 0 remainder
173 ÷ 2 = 86 with 1 remainder
86 ÷ 2 = 43 with 0 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 AD24 hexadecimal to binary:

AD24 hexadecimal = 1010110100100100 binary

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AD25 hexadecimal to binary
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