Concept explainers
Consider the circuit in Figure P2.62. The output of a diode AND logic gate is connected to the input of a second diode AND logic gate. Assume
Figure P2.62
(a)
Values of output voltages
Answer to Problem 2.62P
The values of output voltages are
The values of output voltages are
The values of output voltages are
Explanation of Solution
Given:
The given circuit is shown below.
Voltages given:
Calculation:
(i) Assume voltage
The entire circuit can be divided into two parts.
Now considering the first part,
On considering the connection of Diodes it is known that diodes are connected in reverse bias.
So, taking considerations from the first part, it is concluded that the output,
Hence, if the inputs of circuit are
Similarly, if the inputs of circuit are
Similarly, if the inputs of circuit are
Similarly, if the inputs of circuit are
Let’s make the truth table for
Table 1
0 0 5 5 | 0 5 0 | 0 0 0 5 |
On considering, the Boolean expression for
Now, taking considerations from the second part, as diodes are connected in reverse bias it is concluded that if any one of the inputs,
So the expression for the output voltage
Now for the given inputs
The diodes
Hence, from the expression for ideal diode output voltages are
(ii) Let’s assume voltage
The entire circuit can be divided into two parts.
Now considering the first part,
On considering the connection of Diodes it is known that diodes are connected in reverse bias.
So, taking considerations from the first part, it is concluded that the output,
Hence, if the inputs of circuit are
Similarly, if the inputs of circuit are
Similarly, if the inputs of circuit are
Similarly, if the inputs of circuit are
Let’s make the truth table for
Table 1
0 0 5 | 0 5 0 5 | 0 0 0 5 |
On considering, the Boolean expression for
Now, taking considerations from the second part, as diodes are connected in reverse bias it is concluded that if any one of the inputs,
So the expression for the output voltage
Now for the given inputs,
The diodes
Calculating the value of output voltage,
Calculating the value of output voltage,
Hence, output voltages are
(iii) Let’s assume voltage
The entire circuit can be divided into two parts.
Now considering the first part,
On considering the connection of Diodes it is known that diodes are connected in reverse bias.
So, taking considerations from the first part, it is concluded that the output,
Hence, if the inputs of circuit are
Similarly, if the inputs of circuit are
Similarly, if the inputs of circuit are
Similarly, if the inputs of circuit are
Let’s make the truth table for
Table 1
0 0 5 5 | 0 5 0 5 | 0 0 0 5 |
On considering, the Boolean expression for
Now, taking considerations from the second part, as diodes are connected in reverse bias it is concluded that if any one of the inputs,
So the expression for the output voltage
Now for the given inputs
The diodes
Calculating the value of output voltage,
Calculating the value of output voltage,
Hence, output voltages are
Therefore, in their LOW states the value of
(b)
Relative values of VO1 and VO2 in their “low” state
Answer to Problem 2.62P
Logic “0” signal degrades as it goes through additional logic gates.
Explanation of Solution
Given:
The given circuit is shown below.
Circuit diagram:
Logic “0” signal degrades as it goes through additional logic gates.
The diodes
Calculating the value of output voltage,
Calculating the value of output voltage,
Hence, output voltages are
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Chapter 2 Solutions
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