99BE hexadecimal to binary

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

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

E × 16⁰ = 14
B × 16¹ = 176
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 + 176 + 2304 + 36864 = 39358

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.

39358 ÷ 2 = 19679 with 0 remainder
19679 ÷ 2 = 9839 with 1 remainder
9839 ÷ 2 = 4919 with 1 remainder
4919 ÷ 2 = 2459 with 1 remainder
2459 ÷ 2 = 1229 with 1 remainder
1229 ÷ 2 = 614 with 1 remainder
614 ÷ 2 = 307 with 0 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 99BE hexadecimal to binary:

99BE hexadecimal = 1001100110111110 binary

Hexadecimal to Binary Converter
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99BF hexadecimal to binary
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