Question

Q1. a. Show how the decimal number (-120) will be represented in the computer using THREE methods of 8-bit negative number representation. [3 Marks) b. Show how the real number 5308.75 will be represented in the computer using IEEE floating point format [2 marks] C. We want to design a circuit to detect the input sequence 11101 from a sequence of bits with accepted overlapped sequences. The circuit has a single bit input x and a single bit output z. The output is logic 1 whenever the input sequence is detected, logic ( otherwise. 1. Draw the state diagram of the circuit. [2 marks] 2. Draw and fill the state table of the circuit. [2 marks] 3.Write the Boolean equations of the state variables and the output. [2 Marks) d. A computer has 128 MB of main memory organized logically as 32M blocks of 4 bytes each. It has a cache memory of 16 KB. Answer the following questions: 1. How many address lines are required to access the main memory? [1 Mark) 2. Determine how to split the address (s-r, r, w) for Direct Mapping. [2 Marks) 3.Determine how to split the address (s-d, d, w) for 2-way set-associative mapping. [2 Marks] e. Answer the following questions: 1. List and explain FOUR different addressing modes. 2.Explain the functions of the computer control unit. [2 marks] [2 marks)

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