9848 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 9848 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 9848 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9848 by 16⁰, multiply the second to last digit in 9848 by 16¹, multiply the third to last digit in 9848 by 16², multiply the fourth to last digit in 9848 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
4 × 16¹ = 64
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:

8 + 64 + 2048 + 36864 = 38984

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.

38984 ÷ 2 = 19492 with 0 remainder
19492 ÷ 2 = 9746 with 0 remainder
9746 ÷ 2 = 4873 with 0 remainder
4873 ÷ 2 = 2436 with 1 remainder
2436 ÷ 2 = 1218 with 0 remainder
1218 ÷ 2 = 609 with 0 remainder
609 ÷ 2 = 304 with 1 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 9848 hexadecimal to binary:

9848 hexadecimal = 1001100001001000 binary

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9849 hexadecimal to binary
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