Highlights
Questions
1. a. States the Nyquist sampling theorem.
b. With the aid of diagram illustrate and explain the Digital magnitude comparator with diagram.
c. The waveforms for signals P and Q shown in figure 1 are applied to the circuit shown in figure 2. Copy the timing diagram and add the waveforms for S, T, U and V. Assume that initially U=0 and V=1.
2. a) Simplify the following Boolean expressions and hence draw their the circuit that could effect it;
i. F = A.B + A. C
ii. F = A + B. C
3. a) State the types of basic logic gates and draw their logic circuit symbols.
b) Describe the behaviour of the three basic logic gates.
c) Why are the AND gate and NOR gate called universal gates?
d) Answer the following question using the circuit illustrated on figure 4
i. Complete the truth table of the logic circuit illustrated in figure 4.
ii. Hence state the name of the logic gate that behaves like the logic circuit illustrated.
iii. Which mathematical operation can be implemented using the illustrated circuit?
e) Prove the following identity; A + A. B = A. (A + B) = A
4. With the aid of diagram illustrate and explain the Digital magnitude comparator with diagram
5. a) Explain SR flip-flop using logic- gates and its truth table.
b) Draw the diagram of synchronous modulo-3 counter using flip-flops.
c) Draw the modulo-3 counter timing diagram.
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