Homework 4 - Digital Electronics Lab | EE 231L, Assignments of Digital Electronics

Material Type: Assignment; Class: Digital Electronics Lab; Subject: Electrical Engineering; University: New Mexico Institute of Mining and Technology; Term: Fall 2007;

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EE 231 Fall 2007
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Homework #4 Due October 17, 2007
7.1 Consider the timing diagram in Figure P7.1. Assuming that the D and Clock inputs
shown are applied to the circuit in Figure 7.12, draw the waveforms for the Qa, Qb, Qc
signals.
7.5 Given a 100-MHz clock signal, derive a circuit using D FF to generate 50-MHz and
25-MHz clock signals. Draw a timing diagram for all three clock signals, assuming
reasonable delays.
7.6 An SR FF is a FF that has set and reset input like a gated SR latch. Show how an SR
FF can be constructed using a D FF and other logic gates.
7.13 A universal shift register can shift in both the left-to-right and the right-to-left
directions, and it has a parallel-load capability. Draw a circuit for such a shift register.
7.20 Construct a NOR-gate circuit, similar to the one in Figure 7.11a, which implements
a negative-edge-triggered D FF.
Figure P7.1. Timing diagram for problem 7.1.
D
Clock
D Q
Q
D Q
Q
D Q
Q
D
Clock Q
a
Q
b
Q
c
Q
c
Q
b
Q
a
(a) Circuit
Clk
Figure 7.12. Comparison of level-sensitive and edge-triggered D storage elements.
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Homework #4 Due October 17, 2007 7.1 Consider the timing diagram in Figure P7.1. Assuming that the D and Clock inputs shown are applied to the circuit in Figure 7.12, draw the waveforms for the Qa, Qb, Qc signals. 7.5 Given a 100-MHz clock signal, derive a circuit using D FF to generate 50-MHz and 25-MHz clock signals. Draw a timing diagram for all three clock signals, assuming reasonable delays. 7.6 An SR FF is a FF that has set and reset input like a gated SR latch. Show how an SR FF can be constructed using a D FF and other logic gates. 7.13 A universal shift register can shift in both the left-to-right and the right-to-left directions, and it has a parallel-load capability. Draw a circuit for such a shift register. 7.20 Construct a NOR-gate circuit, similar to the one in Figure 7.11a, which implements a negative-edge-triggered D FF.

Figure P7.1. Timing diagram for problem 7.1.

D Clock D Q Q D Q Q D Q Q D Clock (^) Q a Q b Q c Q c Q b Q a (a) Circuit Clk Figure 7.12. Comparison of level-sensitive and edge-triggered D storage elements.

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7.30 A ring oscillator is a circuit that has an odd number, n, of inverters connected in a ringlike structure, as shown in Figure P7.5. The output of each inverter is a periodic signal with a certain period. (a) Assume that all the inverters are identical; hence they all have the same delay, called tp. Let the output of one of the inverters be named f. Give an equation that expresses the period of the signal f in terms of n and tp. (b) For this part you are to design a circuit that can be used to experimentally measure the delay tp through one of the inverters in the ring oscillator. Assume the existence of an input called Reset and another called Interval. The timing of these two signals is shown in Figure P7.6. The length of time for which Interval has the value 1 is known. Assume that this length of time is 100 ns. Design a circuit that uses Reset and Interval signals and the signal f from part (a) to experimentally measure tp. In your design you may use logic gates and sub circuits such as adders, flip-flops, counters, registers, and so on. Figure 7.11. A positive-edge-triggered D flip-flop. D Clock P 4 P 3 P 1 P 2 5 6 1 2 3 (a) Circuit D Q Q (b) Graphical symbol Clock Q Q 4

Figure P7.5. A ring oscillator.

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