Show the signals (by means of a diagram similar to Fig. 1-7) of the outputs F and G in Fig. 1-6. Use arbitrary binary signals for the inputs A, B, C, and D. D" D²=** (a) Two-input AND gate (b) Two-input OR gate (c) NOT gate or inverter F=ABC G=A+B+C+D с D

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Show the signals (by means of a diagram similar to Fig. 1-7) of the
outputs F and G in Fig. 1-6. Use arbitrary binary signals for the
inputs A, B, C, and D.
D
D
y
(a) Two-input AND gate (b) Two-input OR gate (c) NOT gate or inverter
F-ABC
G=A+B+C+D
D
(d) Three-input AND gate
(e) Four-input OR gate
Figure 1-6 Symbols for digital logic circuits
X
The input signals x and y in the two-input gates of Fig. 1-6 may exist in
one of four possible states: 00, 10, 11, or 01. These input signals are
shown in Fig. 1-7, together with the output signals for the AND and OR
gates. The timing diagrams of Fig. 1-7 illustrate the response of each circuits
to each of the four possible input binary combinations. The reason for the
name inverter for the NOT gate is apparent from a comparison of the signal
x (input of inverter) and that of x' (output of inverter).
y
AND: x y
NOT: r'
OR: x + y
0
z=x+y
0
B
с
0
0
0
0
1
0
1
0
1 1
0 1
0
0
0
X
0
Figure 1-7 Input-output signals for gates (a), (b), and (c) of Figure 1-6
Transcribed Image Text:Show the signals (by means of a diagram similar to Fig. 1-7) of the outputs F and G in Fig. 1-6. Use arbitrary binary signals for the inputs A, B, C, and D. D D y (a) Two-input AND gate (b) Two-input OR gate (c) NOT gate or inverter F-ABC G=A+B+C+D D (d) Three-input AND gate (e) Four-input OR gate Figure 1-6 Symbols for digital logic circuits X The input signals x and y in the two-input gates of Fig. 1-6 may exist in one of four possible states: 00, 10, 11, or 01. These input signals are shown in Fig. 1-7, together with the output signals for the AND and OR gates. The timing diagrams of Fig. 1-7 illustrate the response of each circuits to each of the four possible input binary combinations. The reason for the name inverter for the NOT gate is apparent from a comparison of the signal x (input of inverter) and that of x' (output of inverter). y AND: x y NOT: r' OR: x + y 0 z=x+y 0 B с 0 0 0 0 1 0 1 0 1 1 0 1 0 0 0 X 0 Figure 1-7 Input-output signals for gates (a), (b), and (c) of Figure 1-6
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