Draw symbol of NOR gate and draw truth table for its output.
Official Solution
Correct Option: (1)
Step 1: Symbol of NOR Gate
The symbol of a NOR gate is a combination of an OR gate with a NOT gate. It has two or more inputs and one output. The output is true (1) only when all inputs are false (0).
Truth Table of NOR Gate
Input A
Input B
Output (A NOR B)
0
0
1
0
1
0
1
0
0
1
1
0
The Boolean expression for the NOR gate is represented as: where and are the inputs, and is the output.
02
PYQ 2023
medium
physicsID: up-board
In order to obtain an output, Y = 1, from the given combination of gates:
1
A = 1, B = 0, C = 0
2
A = 0, B = 1, C = 0
3
A = 1, B = 0, C = 1
4
A = 1, B = 1, C = 0
Official Solution
Correct Option: (3)
Step 1: Analyzing the AND Gate. An AND gate outputs 1 only when all of its inputs are 1. So for the AND gate to output 1, we need to analyze the input combinations: - (A) A = 1, B = 0, C = 0: The output will be 0 because at least one input is 0.
- (B) A = 0, B = 1, C = 0: The output will be 0 because A = 0.
- (C) A = 1, B = 0, C = 1: The output will be 1, since A = 1, and C = 1.
- (D) A = 1, B = 1, C = 0: The output will be 0 because C = 0.
Step 2: Conclusion. The correct combination of inputs for the AND gate to output 1 is (C) A = 1, B = 0, C = 1.
03
PYQ 2023
medium
physicsID: up-board
Draw the logic symbol of a NOR gate and write its truth table.
Official Solution
Correct Option: (1)
Step 1: Logic symbol of a NOR gate. The logic symbol for a NOR gate is:
Step 2: Truth table for NOR gate. The truth table for a NOR gate is as follows:
Step 3: Conclusion. The NOR gate produces an output of 1 only when both inputs are 0.
04
PYQ 2023
medium
physicsID: up-board
What is a NOR gate? Draw its logic symbol and obtain the truth table.
Official Solution
Correct Option: (1)
NOR Gate
A NOR gate is a digital logic gate that outputs true (1) only when both of its inputs are false (0). It is the inverse of the OR gate.
Logic Symbol of NOR Gate:
The logic symbol of a NOR gate is the same as the OR gate with a small circle (representing NOT) at the output. The symbol for a 2-input NOR gate is:
Truth Table for NOR Gate:
The truth table for a 2-input NOR gate is:
- When both inputs and are 0, the output is 1.
- In all other cases, the output is 0.
05
PYQ 2023
medium
physicsID: up-board
Find the energy stored in a capacitance of 10 μF when it is charged to a potential difference of 2 volts.
Official Solution
Correct Option: (1)
Step 1: Formula for Energy Stored in a Capacitor. The energy stored in a capacitor is given by the formula:
Where:
- is the capacitance,
- is the potential difference. Step 2: Calculation. Substituting the values into the formula: Final Answer: The energy stored in the capacitor is .
