The hexadecimal representation of the binary number 11110000 is F0.
To convert a binary number to hexadecimal, we start by grouping the binary digits into sets of four, beginning from the right. In this instance, the binary number 11110000 is already organized into a group of four. Each group of four binary digits corresponds to a single hexadecimal digit.
Specifically, the binary number 1111 corresponds to the hexadecimal digit F, while the binary number 0000 corresponds to the hexadecimal digit 0. Consequently, the hexadecimal representation of the binary number 11110000 is F0.
This conversion relies on the fact that both binary and hexadecimal are positional numeral systems. Hexadecimal is a base-16 system, whereas binary is a base-2 system. Each hexadecimal digit represents four binary digits, which is why we group the binary digits in sets of four. This grouping makes hexadecimal a convenient format for representing binary data, as it significantly reduces the number of digits required.
It is important to note that the hexadecimal system employs the digits 0−9 and the letters A−F to represent values from 0 to 15. In our example, the binary group 1111 is equivalent to 15 in decimal, represented as F in hexadecimal. Meanwhile, the binary group 0000 equals 0 in decimal, which is represented as 0 in hexadecimal. Therefore, the binary number 11110000 is represented as F0 in hexadecimal.
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