9815 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 9815 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 9815 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9815 by 16⁰, multiply the second to last digit in 9815 by 16¹, multiply the third to last digit in 9815 by 16², multiply the fourth to last digit in 9815 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
1 × 16¹ = 16
8 × 16² = 2048
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:

5 + 16 + 2048 + 36864 = 38933

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.

38933 ÷ 2 = 19466 with 1 remainder
19466 ÷ 2 = 9733 with 0 remainder
9733 ÷ 2 = 4866 with 1 remainder
4866 ÷ 2 = 2433 with 0 remainder
2433 ÷ 2 = 1216 with 1 remainder
1216 ÷ 2 = 608 with 0 remainder
608 ÷ 2 = 304 with 0 remainder
304 ÷ 2 = 152 with 0 remainder
152 ÷ 2 = 76 with 0 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 9815 hexadecimal to binary:

9815 hexadecimal = 1001100000010101 binary

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9816 hexadecimal to binary
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