C7AA hexadecimal to binary

Here we will show you how to convert the hexadecimal number C7AA 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 C7AA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C7AA by 16⁰, multiply the second to last digit in C7AA by 16¹, multiply the third to last digit in C7AA by 16², multiply the fourth to last digit in C7AA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
A × 16¹ = 160
7 × 16² = 1792
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 + 160 + 1792 + 49152 = 51114

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.

51114 ÷ 2 = 25557 with 0 remainder
25557 ÷ 2 = 12778 with 1 remainder
12778 ÷ 2 = 6389 with 0 remainder
6389 ÷ 2 = 3194 with 1 remainder
3194 ÷ 2 = 1597 with 0 remainder
1597 ÷ 2 = 798 with 1 remainder
798 ÷ 2 = 399 with 0 remainder
399 ÷ 2 = 199 with 1 remainder
199 ÷ 2 = 99 with 1 remainder
99 ÷ 2 = 49 with 1 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 C7AA hexadecimal to binary:

C7AA hexadecimal = 1100011110101010 binary

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C7AB hexadecimal to binary
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