AC5E hexadecimal to binary

Here we will show you how to convert the hexadecimal number AC5E 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 AC5E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AC5E by 16⁰, multiply the second to last digit in AC5E by 16¹, multiply the third to last digit in AC5E by 16², multiply the fourth to last digit in AC5E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
5 × 16¹ = 80
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:

14 + 80 + 3072 + 40960 = 44126

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.

44126 ÷ 2 = 22063 with 0 remainder
22063 ÷ 2 = 11031 with 1 remainder
11031 ÷ 2 = 5515 with 1 remainder
5515 ÷ 2 = 2757 with 1 remainder
2757 ÷ 2 = 1378 with 1 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 AC5E hexadecimal to binary:

AC5E hexadecimal = 1010110001011110 binary

Hexadecimal to Binary Converter
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AC5F hexadecimal to binary
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