9255 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 9255 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 9255 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9255 by 16⁰, multiply the second to last digit in 9255 by 16¹, multiply the third to last digit in 9255 by 16², multiply the fourth to last digit in 9255 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
5 × 16¹ = 80
2 × 16² = 512
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 + 80 + 512 + 36864 = 37461

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.

37461 ÷ 2 = 18730 with 1 remainder
18730 ÷ 2 = 9365 with 0 remainder
9365 ÷ 2 = 4682 with 1 remainder
4682 ÷ 2 = 2341 with 0 remainder
2341 ÷ 2 = 1170 with 1 remainder
1170 ÷ 2 = 585 with 0 remainder
585 ÷ 2 = 292 with 1 remainder
292 ÷ 2 = 146 with 0 remainder
146 ÷ 2 = 73 with 0 remainder
73 ÷ 2 = 36 with 1 remainder
36 ÷ 2 = 18 with 0 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 9255 hexadecimal to binary:

9255 hexadecimal = 1001001001010101 binary

Hexadecimal to Binary Converter
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9256 hexadecimal to binary
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