AC0F hexadecimal to binary

Here we will show you how to convert the hexadecimal number AC0F 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 AC0F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AC0F by 16⁰, multiply the second to last digit in AC0F by 16¹, multiply the third to last digit in AC0F by 16², multiply the fourth to last digit in AC0F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
0 × 16¹ = 0
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:

15 + 0 + 3072 + 40960 = 44047

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.

44047 ÷ 2 = 22023 with 1 remainder
22023 ÷ 2 = 11011 with 1 remainder
11011 ÷ 2 = 5505 with 1 remainder
5505 ÷ 2 = 2752 with 1 remainder
2752 ÷ 2 = 1376 with 0 remainder
1376 ÷ 2 = 688 with 0 remainder
688 ÷ 2 = 344 with 0 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 AC0F hexadecimal to binary:

AC0F hexadecimal = 1010110000001111 binary

Hexadecimal to Binary Converter
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