99DE hexadecimal to binary

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

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

E × 16⁰ = 14
D × 16¹ = 208
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:

14 + 208 + 2304 + 36864 = 39390

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.

39390 ÷ 2 = 19695 with 0 remainder
19695 ÷ 2 = 9847 with 1 remainder
9847 ÷ 2 = 4923 with 1 remainder
4923 ÷ 2 = 2461 with 1 remainder
2461 ÷ 2 = 1230 with 1 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 99DE hexadecimal to binary:

99DE hexadecimal = 1001100111011110 binary

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99DF hexadecimal to binary
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