
Analyze the truth tables of individual gates to determine the final circuit output.




Step 1: Analyze the circuit.- The given logic circuit is a combination of AND and OR gates.- Inputs A and B are given as:- A =1 for t =0 to 1, 3 to 4, and A = 0 for t = 1 to 3.- B =1 for t =2 to 4, and B =0 for t = 0 to 2.
Step 2: Compute intermediate and final outputs.- Output of AND gate: A·B = 1 if both A = 1 and B = 1.- Output of OR gate: A+B = 1 if either A = 1 or B = 1.- Final output Y = A·B + A:
- Y = 0 for t = 0 to 1.
- Y = 1 for t = 1 to 2.
- Y = 0 for t = 2 to 3.
- Y = 1 for t = 3 to 4.
Final Answer: The output waveform at Y matches Option 1
Consider the following logic circuit.
The output is Y = 0 when :


To obtain the given truth table, the following logic gate should be placed at G:
Which of the following circuits has the same output as that of the given circuit?


Two cells of emf 1V and 2V and internal resistance 2 \( \Omega \) and 1 \( \Omega \), respectively, are connected in series with an external resistance of 6 \( \Omega \). The total current in the circuit is \( I_1 \). Now the same two cells in parallel configuration are connected to the same external resistance. In this case, the total current drawn is \( I_2 \). The value of \( \left( \frac{I_1}{I_2} \right) \) is \( \frac{x}{3} \). The value of x is 1cm.
If $ \theta \in [-2\pi,\ 2\pi] $, then the number of solutions of $$ 2\sqrt{2} \cos^2\theta + (2 - \sqrt{6}) \cos\theta - \sqrt{3} = 0 $$ is:
The term independent of $ x $ in the expansion of $$ \left( \frac{x + 1}{x^{3/2} + 1 - \sqrt{x}} \cdot \frac{x + 1}{x - \sqrt{x}} \right)^{10} $$ for $ x>1 $ is: