AC7D hexadecimal to binary

Here we will show you how to convert the hexadecimal number AC7D 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 AC7D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AC7D by 16⁰, multiply the second to last digit in AC7D by 16¹, multiply the third to last digit in AC7D by 16², multiply the fourth to last digit in AC7D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
7 × 16¹ = 112
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:

13 + 112 + 3072 + 40960 = 44157

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.

44157 ÷ 2 = 22078 with 1 remainder
22078 ÷ 2 = 11039 with 0 remainder
11039 ÷ 2 = 5519 with 1 remainder
5519 ÷ 2 = 2759 with 1 remainder
2759 ÷ 2 = 1379 with 1 remainder
1379 ÷ 2 = 689 with 1 remainder
689 ÷ 2 = 344 with 1 remainder
344 ÷ 2 = 172 with 0 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 AC7D hexadecimal to binary:

AC7D hexadecimal = 1010110001111101 binary

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AC7E hexadecimal to binary
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