9900 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 9900 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 9900 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9900 by 16⁰, multiply the second to last digit in 9900 by 16¹, multiply the third to last digit in 9900 by 16², multiply the fourth to last digit in 9900 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
0 × 16¹ = 0
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:

0 + 0 + 2304 + 36864 = 39168

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.

39168 ÷ 2 = 19584 with 0 remainder
19584 ÷ 2 = 9792 with 0 remainder
9792 ÷ 2 = 4896 with 0 remainder
4896 ÷ 2 = 2448 with 0 remainder
2448 ÷ 2 = 1224 with 0 remainder
1224 ÷ 2 = 612 with 0 remainder
612 ÷ 2 = 306 with 0 remainder
306 ÷ 2 = 153 with 0 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 9900 hexadecimal to binary:

9900 hexadecimal = 1001100100000000 binary

Hexadecimal to Binary Converter
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9901 hexadecimal to binary
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