A45C hexadecimal to binary

Here we will show you how to convert the hexadecimal number A45C 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 A45C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A45C by 16⁰, multiply the second to last digit in A45C by 16¹, multiply the third to last digit in A45C by 16², multiply the fourth to last digit in A45C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
5 × 16¹ = 80
4 × 16² = 1024
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:

12 + 80 + 1024 + 40960 = 42076

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.

42076 ÷ 2 = 21038 with 0 remainder
21038 ÷ 2 = 10519 with 0 remainder
10519 ÷ 2 = 5259 with 1 remainder
5259 ÷ 2 = 2629 with 1 remainder
2629 ÷ 2 = 1314 with 1 remainder
1314 ÷ 2 = 657 with 0 remainder
657 ÷ 2 = 328 with 1 remainder
328 ÷ 2 = 164 with 0 remainder
164 ÷ 2 = 82 with 0 remainder
82 ÷ 2 = 41 with 0 remainder
41 ÷ 2 = 20 with 1 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 A45C hexadecimal to binary:

A45C hexadecimal = 1010010001011100 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

A45D hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.