99CA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 99CA 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 99CA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 99CA by 16⁰, multiply the second to last digit in 99CA by 16¹, multiply the third to last digit in 99CA by 16², multiply the fourth to last digit in 99CA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
C × 16¹ = 192
9 × 16² = 2304
9 × 16³ = 36864

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 + 2304 + 36864 = 39370

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.

39370 ÷ 2 = 19685 with 0 remainder
19685 ÷ 2 = 9842 with 1 remainder
9842 ÷ 2 = 4921 with 0 remainder
4921 ÷ 2 = 2460 with 1 remainder
2460 ÷ 2 = 1230 with 0 remainder
1230 ÷ 2 = 615 with 0 remainder
615 ÷ 2 = 307 with 1 remainder
307 ÷ 2 = 153 with 1 remainder
153 ÷ 2 = 76 with 1 remainder
76 ÷ 2 = 38 with 0 remainder
38 ÷ 2 = 19 with 0 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 99CA hexadecimal to binary:

99CA hexadecimal = 1001100111001010 binary

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99CB hexadecimal to binary
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