D5AC hexadecimal to binary

Here we will show you how to convert the hexadecimal number D5AC 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 D5AC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D5AC by 16⁰, multiply the second to last digit in D5AC by 16¹, multiply the third to last digit in D5AC by 16², multiply the fourth to last digit in D5AC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
A × 16¹ = 160
5 × 16² = 1280
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:

12 + 160 + 1280 + 53248 = 54700

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.

54700 ÷ 2 = 27350 with 0 remainder
27350 ÷ 2 = 13675 with 0 remainder
13675 ÷ 2 = 6837 with 1 remainder
6837 ÷ 2 = 3418 with 1 remainder
3418 ÷ 2 = 1709 with 0 remainder
1709 ÷ 2 = 854 with 1 remainder
854 ÷ 2 = 427 with 0 remainder
427 ÷ 2 = 213 with 1 remainder
213 ÷ 2 = 106 with 1 remainder
106 ÷ 2 = 53 with 0 remainder
53 ÷ 2 = 26 with 1 remainder
26 ÷ 2 = 13 with 0 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 D5AC hexadecimal to binary:

D5AC hexadecimal = 1101010110101100 binary

Hexadecimal to Binary Converter
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