What is the hexadecimal representation of the binary number 11110000?

The hexadecimal representation of the binary number 11110000 is F0.

To convert a binary number to hexadecimal, we first need to group the binary digits into sets of four, starting from the right. In this case, the binary number 11110000 is already in a group of four. Each group of four binary digits corresponds to one hexadecimal digit.

The binary number 1111 corresponds to the hexadecimal digit F, and the binary number 0000 corresponds to the hexadecimal digit 0. Therefore, the hexadecimal representation of the binary number 11110000 is F0.

This conversion is based on the fact that both binary and hexadecimal are positional numeral systems, and hexadecimal is a base-16 system while 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 makes hexadecimal a convenient choice for representing binary data, as it significantly reduces the number of digits needed.

Remember, the hexadecimal system uses the digits 0-9 and the letters A-F to represent the values 0-15. So, in our case, the binary group 1111 equals to 15 in decimal, which is represented as F in hexadecimal. And the binary group 0000 equals to 0 in decimal, which is represented as 0 in hexadecimal. Hence, the binary number 11110000 is represented as F0 in hexadecimal.