Question: Do help to explain the answer so that I am able to learn from it. thanks Question 1 (25 marks) A digital system uses 8-bit

Do help to explain the answer so that I am able

Do help to explain the answer so that I am able to learn from it. thanks

Question 1 (25 marks) A digital system uses 8-bit for integer representation and 16-bit for floating point number representation. Analyse and explain the various number representations and answer the following questions. (a) Given A=5A16 and B = 8D16. (i) If 8-bit sign-magnitude representation is used to represent integers, what is the range of decimal values it can represent? (2 marks) (ii) Express the value of A and the value of B in 8-bit binary if sign-magnitude representation is used for integers. (2 marks) (iii) Show how the digital system computes the logic operation A XOR (A OR B). Express the result in hexadecimal. (3 marks) (b) Given X = 5510 and Y = -6610. (i) Express the value of X and the value of Y in 8-bit binary if sign-magnitude representation is used for integers. (2 marks) Express the value of X and the value of Y in 8-bit binary if 2s complement signed integer representation is used. (5 marks) (iii) Find the result of X + Y by performing the computation in 2s complement arithmetic. Convert the result to decimal and show it is equal to -11. (4 marks)

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