QUESTION 1 (This question is compulsory) (a) Express the decimal number-33 as an 8-bit binary number using each of the f

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Question 1 This Question Is Compulsory A Express The Decimal Number 33 As An 8 Bit Binary Number Using Each Of The F 1 (34.76 KiB) Viewed 15 times

Question 1 This Question Is Compulsory A Express The Decimal Number 33 As An 8 Bit Binary Number Using Each Of The F 2 (23.61 KiB) Viewed 15 times

QUESTION 1 (This question is compulsory) (a) Express the decimal number-33 as an 8-bit binary number using each of the following binary systems: (i)signed magnitude (i) 1's complement (iii) 2's complement (b) (i) Convert 713e to 8421 Binary Coded Decimal. (ii) Convert 10110.0101; to decimal. (iii) Convert 700 to hexadecimal. (c) Consider the following Boolean function: ARCDE where d(...) represents the don't care conditions. (1.2.4,5,8,10,12,16,17,18,21,24,26,28)+ d(0,15,20) (i) Represent this function in a Karnaugh Map. (ii) Implement this function using no more than 5 NAND gates, given that the complement of the inputs are not available. fARCDE) II (1, 3, 5, 7, 13, 15, 17, 19, 21, 23, 29, 31) (e) Consider the following expression: (d) Determine the minimal sum-of-products (SOP) expression for the (5 marks) following function: faRo=AB+/ Convert this expression to a form that uses: (1) OR and NOT operations only. (ii) NOR operations only. Sketch the circuit for each case. +AC+BC (6 marks) Page 2 of 6 (6 marks) (6 marks) (7 marks) Ql cont'd overleaf
(0 Give two different ways of connecting a single 2-input NAND gate so that it operates like an inverter. (g) Sketch the state diagram of a T flip-flop (h) Show how a full adder can be constructed using two half adders and explain its operation. (i) Copy the waveforms shown in Figure 1 into your answer book. Show the output waveform (assume that the output is initially low) for each of the following devices: (1) a D flip-flop with positive edge triggering a D flip-flop with negative edge triggering. Clearly indicate on your diagram which output belongs to which device. clock/ enable D Figure 1-Input waveforms for Q1(1) Page 3 of 6 (4 marks) (4 marks) (6 marks) (6 marks)