99BC hexadecimal to binary

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

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

C × 16⁰ = 12
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:

12 + 176 + 2304 + 36864 = 39356

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.

39356 ÷ 2 = 19678 with 0 remainder
19678 ÷ 2 = 9839 with 0 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 99BC hexadecimal to binary:

99BC hexadecimal = 1001100110111100 binary

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99BD hexadecimal to binary
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