C5A4 hexadecimal to binary

Here we will show you how to convert the hexadecimal number C5A4 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 C5A4 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C5A4 by 16⁰, multiply the second to last digit in C5A4 by 16¹, multiply the third to last digit in C5A4 by 16², multiply the fourth to last digit in C5A4 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
A × 16¹ = 160
5 × 16² = 1280
C × 16³ = 49152

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:

4 + 160 + 1280 + 49152 = 50596

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.

50596 ÷ 2 = 25298 with 0 remainder
25298 ÷ 2 = 12649 with 0 remainder
12649 ÷ 2 = 6324 with 1 remainder
6324 ÷ 2 = 3162 with 0 remainder
3162 ÷ 2 = 1581 with 0 remainder
1581 ÷ 2 = 790 with 1 remainder
790 ÷ 2 = 395 with 0 remainder
395 ÷ 2 = 197 with 1 remainder
197 ÷ 2 = 98 with 1 remainder
98 ÷ 2 = 49 with 0 remainder
49 ÷ 2 = 24 with 1 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 C5A4 hexadecimal to binary:

C5A4 hexadecimal = 1100010110100100 binary

Hexadecimal to Binary Converter
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