99E hexadecimal to binary

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

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

E × 16⁰ = 14
9 × 16¹ = 144
9 × 16² = 2304

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 + 144 + 2304 = 2462

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.

2462 ÷ 2 = 1231 with 0 remainder
1231 ÷ 2 = 615 with 1 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 99E hexadecimal to binary:

99E hexadecimal = 100110011110 binary

Hexadecimal to Binary Converter
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99F hexadecimal to binary
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