AC47 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AC47 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 AC47 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AC47 by 16⁰, multiply the second to last digit in AC47 by 16¹, multiply the third to last digit in AC47 by 16², multiply the fourth to last digit in AC47 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
4 × 16¹ = 64
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:

7 + 64 + 3072 + 40960 = 44103

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.

44103 ÷ 2 = 22051 with 1 remainder
22051 ÷ 2 = 11025 with 1 remainder
11025 ÷ 2 = 5512 with 1 remainder
5512 ÷ 2 = 2756 with 0 remainder
2756 ÷ 2 = 1378 with 0 remainder
1378 ÷ 2 = 689 with 0 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 AC47 hexadecimal to binary:

AC47 hexadecimal = 1010110001000111 binary

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AC48 hexadecimal to binary
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