The minimized expression of the Boolean function Y(P, Q, R) implemented by the multiplexer (MUX) circuit shown in the figure is
The given problem involves a multiplexer (MUX) circuit implementing a Boolean function Y(P, Q, R). We need to determine the minimized expression for this function.
Let's analyze the MUX circuit step-by-step:
- The first MUX selects inputs based on the select lines P and Q (represented as S_1 and S_0 respectively).
- The inputs to this MUX are 0, 1, 1, and 0, corresponding to 00, 01, 10, and 11 select line combinations.
- This implements the function P \oplus Q (XOR gate), since:
- When P = 0 and Q = 0 or P = 1 and Q = 1, the output is 0.
- When P = 0 and Q = 1 or P = 1 and Q = 0, the output is 1.
- The second MUX uses the output of the first MUX and select line R.
- The second MUX outputs a logical function based on:
- When R = 0, the output is the result from the first MUX, which is P \oplus Q.
- When R = 1, the output is 1.
- Effectively, the second MUX implements a logical OR operation: R + (P \oplus Q).
Thus, the minimized expression of the Boolean function is:
Therefore, the correct answer is:
Important Questions from Multiplexer
The device which changes from serial data to parallel data is:
Consider a logic gate circuit. with 8 input lines (D 0, D 1..... D 7) and 3 output lines (A 0, A 1, A 2) specified by following operations
A 2= D 4+ D 5+ D 6+ D 7
A 1= D 2+ D 3+ D 6+ D 7
A 0= D 1+ D 3+ D 5+ D 0
Where + indicates logical OR operation. This circuit is
Which of the following statements are true?
A. Frequency division multiplexing technique can be handled by digital circuits.
B. Time division multiplexing technique can be handled by analog circuits
C. Wavelength division multiplexing technique is used with optical fiber for combining two signals.
D. Frequency division multiplexing technique can be applied when the bandwidth of a link is greater than the bandwidth of the signals to be transmitted.
Choose the correct answer from the options given below :
Consider the sentence below.
There is a country that borders both India and Pakistan.
Which of the following logical expressions express the above sentence correctly when the predicate Country(x) represents that x is a country and Borders(x, y) represents that the countries x and y share the border?
A digital computer has a common bus system for 8 registers 16 bits each. How many multiplexers are required to implement common bus? What size of multiplexers is required?
