
Here we will show you how to convert the hexadecimal number ACD0 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 ACD0 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in ACD0 by 16⁰, multiply the second to last digit in ACD0 by 16¹, multiply the third to last digit in ACD0 by 16², multiply the fourth to last digit in ACD0 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
D × 16¹ = 208
C × 16² = 3072
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:
0 + 208 + 3072 + 40960 = 44240
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.
44240 ÷ 2 = 22120 with 0 remainder
22120 ÷ 2 = 11060 with 0 remainder
11060 ÷ 2 = 5530 with 0 remainder
5530 ÷ 2 = 2765 with 0 remainder
2765 ÷ 2 = 1382 with 1 remainder
1382 ÷ 2 = 691 with 0 remainder
691 ÷ 2 = 345 with 1 remainder
345 ÷ 2 = 172 with 1 remainder
172 ÷ 2 = 86 with 0 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 ACD0 hexadecimal to binary:
ACD0 hexadecimal = 1010110011010000 binary
Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.
ACD1 hexadecimal to binary
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