C4CA hexadecimal to binary




Here we will show you how to convert the hexadecimal number C4CA 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 C4CA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C4CA by 16⁰, multiply the second to last digit in C4CA by 16¹, multiply the third to last digit in C4CA by 16², multiply the fourth to last digit in C4CA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
C × 16¹ = 192
4 × 16² = 1024
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:

10 + 192 + 1024 + 49152 = 50378

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.

50378 ÷ 2 = 25189 with 0 remainder
25189 ÷ 2 = 12594 with 1 remainder
12594 ÷ 2 = 6297 with 0 remainder
6297 ÷ 2 = 3148 with 1 remainder
3148 ÷ 2 = 1574 with 0 remainder
1574 ÷ 2 = 787 with 0 remainder
787 ÷ 2 = 393 with 1 remainder
393 ÷ 2 = 196 with 1 remainder
196 ÷ 2 = 98 with 0 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 C4CA hexadecimal to binary:

C4CA hexadecimal = 1100010011001010 binary


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