AD53 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AD53 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 AD53 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AD53 by 16⁰, multiply the second to last digit in AD53 by 16¹, multiply the third to last digit in AD53 by 16², multiply the fourth to last digit in AD53 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
5 × 16¹ = 80
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:

3 + 80 + 3328 + 40960 = 44371

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.

44371 ÷ 2 = 22185 with 1 remainder
22185 ÷ 2 = 11092 with 1 remainder
11092 ÷ 2 = 5546 with 0 remainder
5546 ÷ 2 = 2773 with 0 remainder
2773 ÷ 2 = 1386 with 1 remainder
1386 ÷ 2 = 693 with 0 remainder
693 ÷ 2 = 346 with 1 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 AD53 hexadecimal to binary:

AD53 hexadecimal = 1010110101010011 binary

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AD54 hexadecimal to binary
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