AC3F hexadecimal to binary

Here we will show you how to convert the hexadecimal number AC3F 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 AC3F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AC3F by 16⁰, multiply the second to last digit in AC3F by 16¹, multiply the third to last digit in AC3F by 16², multiply the fourth to last digit in AC3F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
3 × 16¹ = 48
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 + 48 + 3072 + 40960 = 44095

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.

44095 ÷ 2 = 22047 with 1 remainder
22047 ÷ 2 = 11023 with 1 remainder
11023 ÷ 2 = 5511 with 1 remainder
5511 ÷ 2 = 2755 with 1 remainder
2755 ÷ 2 = 1377 with 1 remainder
1377 ÷ 2 = 688 with 1 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 AC3F hexadecimal to binary:

AC3F hexadecimal = 1010110000111111 binary

Hexadecimal to Binary Converter
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