A3C3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A3C3 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 A3C3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A3C3 by 16⁰, multiply the second to last digit in A3C3 by 16¹, multiply the third to last digit in A3C3 by 16², multiply the fourth to last digit in A3C3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
C × 16¹ = 192
3 × 16² = 768
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:

3 + 192 + 768 + 40960 = 41923

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.

41923 ÷ 2 = 20961 with 1 remainder
20961 ÷ 2 = 10480 with 1 remainder
10480 ÷ 2 = 5240 with 0 remainder
5240 ÷ 2 = 2620 with 0 remainder
2620 ÷ 2 = 1310 with 0 remainder
1310 ÷ 2 = 655 with 0 remainder
655 ÷ 2 = 327 with 1 remainder
327 ÷ 2 = 163 with 1 remainder
163 ÷ 2 = 81 with 1 remainder
81 ÷ 2 = 40 with 1 remainder
40 ÷ 2 = 20 with 0 remainder
20 ÷ 2 = 10 with 0 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 A3C3 hexadecimal to binary:

A3C3 hexadecimal = 1010001111000011 binary

Hexadecimal to Binary Converter
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