EXAMPLE 3-2 (a) Develop the truth tahle for a 3-input AND gate. (b) Determine the total number of possible input combinations for a 4-input AND gate. Solution (a) There are eight possible input combinationm (2 -8) for a 3-input AND gate. The input side of the truth tahle (Table 3-3) shows all eight combinations of three hits. The output side is all Os escept when all three input bits are I TABLE 3- INPUTS OUTPUT 3D (b) N-2- 16, There are 16 possihle combinations of input hits for a 4-input AND gate Related Prohlem Develop the truth sahle for a 4-input AND pate.

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lecture4.pdf
1- HIGH, O-LOW
EXAMPLE 3-2
ta) Develop the truth table for a 3-input AND gate
(b) Determine the total number of possible input combinations for a 4-input AND gate.
Solution (a) There are eight possible input combinations (2 - 8) for a 3-input AND gate. The
input side of the truth table (Table 3-3) shows all eight combinations of three hits.
The output side is all Os except when all three input bits are Is
TABLE 3-
INPUTS
OUTPUT
1.
(b) N-2- 16. There are 16 possible combinations of input bits for a 4-input
AND gate.
Related Problem Develop the truth sahle for a 4-input AND gate.
|EXAMPLE 3-3
If two waveforms, A and B, are applied to the AND gate inputs as in Figure 3-11,
what is the resulting output waveform?
HIGH
A LOW
R HIGH
LOW-
HIGH
LOW
A and are both HIGH during those four time intervals
Therefore X is HIGH.
A FIGURE 3-11
Solution The output waveform X is HIGH only when both A and B waveforms are HIGH as
shown in the timing diagram in Figure 3-11.
Related Problem Determine the output waveform and show a timing diagram if the second and fourth
pulses in waveform A of Figure 3-11 are replaced by LOW levels.
EXAMPLE 3-4
For the two input waveforms, A and B, in Figure 3-12, show the output waveform
with its proper relation to the inputs.
HIGH
LOW
Inputs
HIGH
LOW
HIGH
Output X
LOW
FIGURE 3-12
Solution The output waveform is HIGH only when both of the input waveforms are HIGH as
shown in the timing diagram.
Related Problem Show the output waveform if the B input to the AND gate in Figure 3-12 is always
HIGH.
EXAMPLE 3-5
Transcribed Image Text:7:52 lecture4.pdf 1- HIGH, O-LOW EXAMPLE 3-2 ta) Develop the truth table for a 3-input AND gate (b) Determine the total number of possible input combinations for a 4-input AND gate. Solution (a) There are eight possible input combinations (2 - 8) for a 3-input AND gate. The input side of the truth table (Table 3-3) shows all eight combinations of three hits. The output side is all Os except when all three input bits are Is TABLE 3- INPUTS OUTPUT 1. (b) N-2- 16. There are 16 possible combinations of input bits for a 4-input AND gate. Related Problem Develop the truth sahle for a 4-input AND gate. |EXAMPLE 3-3 If two waveforms, A and B, are applied to the AND gate inputs as in Figure 3-11, what is the resulting output waveform? HIGH A LOW R HIGH LOW- HIGH LOW A and are both HIGH during those four time intervals Therefore X is HIGH. A FIGURE 3-11 Solution The output waveform X is HIGH only when both A and B waveforms are HIGH as shown in the timing diagram in Figure 3-11. Related Problem Determine the output waveform and show a timing diagram if the second and fourth pulses in waveform A of Figure 3-11 are replaced by LOW levels. EXAMPLE 3-4 For the two input waveforms, A and B, in Figure 3-12, show the output waveform with its proper relation to the inputs. HIGH LOW Inputs HIGH LOW HIGH Output X LOW FIGURE 3-12 Solution The output waveform is HIGH only when both of the input waveforms are HIGH as shown in the timing diagram. Related Problem Show the output waveform if the B input to the AND gate in Figure 3-12 is always HIGH. EXAMPLE 3-5
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