96C8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 96C8 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 96C8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 96C8 by 16⁰, multiply the second to last digit in 96C8 by 16¹, multiply the third to last digit in 96C8 by 16², multiply the fourth to last digit in 96C8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
C × 16¹ = 192
6 × 16² = 1536
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:

8 + 192 + 1536 + 36864 = 38600

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.

38600 ÷ 2 = 19300 with 0 remainder
19300 ÷ 2 = 9650 with 0 remainder
9650 ÷ 2 = 4825 with 0 remainder
4825 ÷ 2 = 2412 with 1 remainder
2412 ÷ 2 = 1206 with 0 remainder
1206 ÷ 2 = 603 with 0 remainder
603 ÷ 2 = 301 with 1 remainder
301 ÷ 2 = 150 with 1 remainder
150 ÷ 2 = 75 with 0 remainder
75 ÷ 2 = 37 with 1 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 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 96C8 hexadecimal to binary:

96C8 hexadecimal = 1001011011001000 binary

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96C9 hexadecimal to binary
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