ACE5 hexadecimal to binary

Here we will show you how to convert the hexadecimal number ACE5 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 ACE5 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in ACE5 by 16⁰, multiply the second to last digit in ACE5 by 16¹, multiply the third to last digit in ACE5 by 16², multiply the fourth to last digit in ACE5 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
E × 16¹ = 224
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:

5 + 224 + 3072 + 40960 = 44261

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.

44261 ÷ 2 = 22130 with 1 remainder
22130 ÷ 2 = 11065 with 0 remainder
11065 ÷ 2 = 5532 with 1 remainder
5532 ÷ 2 = 2766 with 0 remainder
2766 ÷ 2 = 1383 with 0 remainder
1383 ÷ 2 = 691 with 1 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 ACE5 hexadecimal to binary:

ACE5 hexadecimal = 1010110011100101 binary

Hexadecimal to Binary Converter
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