Final answer:
To represent 185 and 122 as signed 8-bit numbers in two's complement form, convert them to binary and determine their sign bits. Then, display the two's complement representations in hexadecimal by grouping binary digits into groups of 4 and converting each group to hexadecimal. Show the two's complement numbers as binary fractions by considering the leftmost bit as the sign bit and the rest as the fraction. Finally, convert the two's complement numbers to ASCII characters using a corresponding ASCII table.
Step-by-step explanation:
A) To represent 185 and 122 as signed 8-bit numbers in two's complement form, we need to convert them to binary and determine their sign bits.
185 in binary is 10111001. Since it is positive, the sign bit is 0. Therefore, the two's complement representation is 10111001.
122 in binary is 01111010. Since it is positive, the sign bit is 0. Therefore, the two's complement representation is 01111010.
B) To display the two's complement representations in hexadecimal, we can group the binary digits into groups of 4 and convert each group to hexadecimal.
For 185, the two's complement representation 10111001 is equivalent to B9 in hexadecimal.
For 122, the two's complement representation 01111010 is equivalent to 7A in hexadecimal.
C) To show the two's complement numbers as binary fractions, we can consider the left most bit as the sign bit and the rest as the fraction.
The binary fraction for 185 is 0.0111001.
The binary fraction for 122 is 0.1111010.
D) To convert the two's complement numbers to ASCII characters, we can use a corresponding ASCII table.
The ASCII characters for 185 and 122 are not available, as they represent control characters.