2A3C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 2A3C 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 2A3C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 2A3C by 16⁰, multiply the second to last digit in 2A3C by 16¹, multiply the third to last digit in 2A3C by 16², multiply the fourth to last digit in 2A3C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
3 × 16¹ = 48
A × 16² = 2560
2 × 16³ = 8192

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:

12 + 48 + 2560 + 8192 = 10812

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.

10812 ÷ 2 = 5406 with 0 remainder
5406 ÷ 2 = 2703 with 0 remainder
2703 ÷ 2 = 1351 with 1 remainder
1351 ÷ 2 = 675 with 1 remainder
675 ÷ 2 = 337 with 1 remainder
337 ÷ 2 = 168 with 1 remainder
168 ÷ 2 = 84 with 0 remainder
84 ÷ 2 = 42 with 0 remainder
42 ÷ 2 = 21 with 0 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 2A3C hexadecimal to binary:

2A3C hexadecimal = 10101000111100 binary

Hexadecimal to Binary Converter
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