DA53 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DA53 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 DA53 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DA53 by 16⁰, multiply the second to last digit in DA53 by 16¹, multiply the third to last digit in DA53 by 16², multiply the fourth to last digit in DA53 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
5 × 16¹ = 80
A × 16² = 2560
D × 16³ = 53248

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 + 2560 + 53248 = 55891

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.

55891 ÷ 2 = 27945 with 1 remainder
27945 ÷ 2 = 13972 with 1 remainder
13972 ÷ 2 = 6986 with 0 remainder
6986 ÷ 2 = 3493 with 0 remainder
3493 ÷ 2 = 1746 with 1 remainder
1746 ÷ 2 = 873 with 0 remainder
873 ÷ 2 = 436 with 1 remainder
436 ÷ 2 = 218 with 0 remainder
218 ÷ 2 = 109 with 0 remainder
109 ÷ 2 = 54 with 1 remainder
54 ÷ 2 = 27 with 0 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 DA53 hexadecimal to binary:

DA53 hexadecimal = 1101101001010011 binary

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DA54 hexadecimal to binary
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