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
The output (Y) of the given logic implementation is similar to the output of an/a …………. gate.
The logic gate equivalent to the circuit given in the figure is
The logic gate equivalent to the combination of logic gates shown in the figure is
Let $ P_n = \alpha^n + \beta^n $, $ n \in \mathbb{N} $. If $ P_{10} = 123,\ P_9 = 76,\ P_8 = 47 $ and $ P_1 = 1 $, then the quadratic equation having roots $ \alpha $ and $ \frac{1}{\beta} $ is: