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 .
About Logic Gates - UP-BOARD-XII
Logic Gates is a vital chapter for UP-BOARD-XII aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.
By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.
Frequently Asked Questions
Why focus on Logic Gates PYQs?
Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.
How to best use this analysis?
Review the topic breakdown to see which sub-topics within Logic Gates carry the most weight. Then, tackle the questions iteratively to solidify your understanding.
