What is the hexadecimal representation of the decimal number 240?

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To convert the decimal number 240 to hexadecimal, we need to understand how the base-16 numbering system works. In hexadecimal, each digit represents a power of 16, similar to how each digit in decimal represents a power of 10.

First, we can determine how many 16s fit into 240. Dividing 240 by 16 gives us 15, with a remainder of 0. This signifies that there are 15 complete groups of 16 in 240. The hexadecimal representation utilizes the numbers 0-9 for values 0 to 9 and letters A-F for values 10 to 15. Thus, the decimal 15 corresponds to the letter 'F' in hexadecimal.

Now, to assemble the hexadecimal number, we note that the part we calculated (15) will fill the "sixteens" place in our hexadecimal number, and the remainder (0) fills the "ones" place. Combining these, we represent 240 in hexadecimal as F0.

However, we need to reassess since 'F0' does not match any of the provided options. Breaking down 240:

  • Recognize that 240 = 224 + 16.

  • 224 is 14 groups of

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