Which hexadecimal value represents the binary number 11110000?

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To convert the binary number 11110000 into hexadecimal, we first break the binary number into two groups of four bits each, since one hexadecimal digit corresponds to four binary digits.

The binary number 11110000 can be split as follows:

  • The first group is 1111

  • The second group is 0000

Next, we convert each group into its hexadecimal equivalent:

  1. The binary 1111 corresponds to the decimal value 15, which is represented as F in hexadecimal.

  2. The binary 0000 corresponds to the decimal value 0, which is represented as 0 in hexadecimal.

When we combine these two hexadecimal digits, we get F0. Therefore, the hexadecimal representation of the binary number 11110000 is F0, making it the correct answer.

This process illustrates how binary numbers can be converted to hexadecimal by grouping and converting, which is a common practice in computer science for simplifying data representation.

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