Bissoy.com
Doctors Medicines MCQs Q&A

A 4 × 1 multiplexer with two selector lines is used to realize a Boolean function F having four Boolean variables X, Y, Z and W as shown below. S0 and S1 denote the least significant bit (LSB) and most significant bit (MSB) of the selector lines of the multiplexer respectively. I0, I1, I2, I3 are the input lines of the multiplexer. The canonical sum of product representation of F is

A 4 × 1 multiplexer with two selector lines is used to realize a Boolean function F having four Boolean variables X, Y, Z and W as shown below. S0 and S1 denote the least significant bit (LSB) and most significant bit (MSB) of the selector lines of the multiplexer respectively. I0, I1, I2, I3 are the input lines of the multiplexer. The canonical sum of product representation of F is Correct Answer F (X, Y, Z, W) = Σ m( 0, 1, 3,11,14)

Concept:

A multiplexer (or mux; spelled sometimes as multiplexor), also known as a data selector, is a device that selects between several Analog or Digital input signals and forwards the selected input to a single output line

F (X, Y, Z, W) = XYZW' + XY'ZW + X'Y(0) + X'Y'(Z' + W)

F (X, Y, Z, W) = XYZW' + XY'ZW + X'Y'Z' + X'Y'W

Now we can make it in cannonical form;

F (X, Y, Z, W) = XYZW' + XY'ZW + X'Y'Z' ( W + W') + X'Y'W(Z + Z')

F (X, Y, Z, W) = XYZW' + XY'ZW + X'Y'Z' W + X'Y'Z' W' + X'Y'WZ.

So finally we get,

F (X, Y, Z, W) = Σ m( 0, 1, 3,11,14)

Related Questions

A 4 to 1 multiplexer to realize a Boolean function F (X, Y, Z) is shown in the figure below. The inputs Y and Z are connected to the selectors of the MUX (Y is more significant). The canonical sum-of-product expression for F (X, Y, Z) is
f(A,B,C,D) = Π M (0,1,3,4,5,7,9,11,12,13,14,15) is a max-term representation of a Boolean function f(A,B,C,D) where A is the MSB and D is the LSB. The equivalent minimized representation of this function is
Suppose we want to design a synchronous circuit that processes a string of 0’s and 1’s. Given a string, it produces another string by replacing the first 1 in any subsequence of consecutive 1’s by a 0. Consider the following example. Input sequence: 00100011000011100 Output sequence: 00000001000001100 A Mealy Machine is a state machine where both the next state and the output are functions of the present state and the current input. The above mentioned circuit can be designed as a two-state Mealy machine. The states in the Mealy machine can be represented using Boolean values 0 and 1. We denote the current state, the next state, the next incoming bit, and the output bit of the Mealy machine by the variables s, t, b and y respectively. Assume the initial state of the Mealy machine is 0. What are the Boolean expressions corresponding to t and y in terms of s and b ?
A 3-bit gray counter is used to control the output of the multiplexer as shown in the figure (A2 is MSB and A0 is LSB). The initial state of the counter is 0002. The output is pulled high. The output of the circuit follows the sequence
The Telecom Regulatory Authority of India recommended the creation of a multi-stakeholder body (MSB). Which of the following is/are the other recommendations of TRAI. 1. The role of the MSB shall be to provide advice and support to the Department of Telecommunications. 2. The multi-stakeholder body (MSB) may also be required to investigate complaints regarding the violation of net neutrality.
The instruction that shifts 8 LSB bits of ECX into the MSB positions of EAX, one by one starting from LSB of ECX is
Seven people A, B, C, D, E, F and G live on separate floors of a 7-floor building. Ground floor is numbered 1, first floor is numbered. 2 and so on until the topmost floor is numbered 7. Each one of these having a different cars-Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo but not necessarily in the same order. Only three people live above the floor on which A lives. Only one person lives between A and the one having a car Cadillac. F lives immediately below the one having a car Bedford. The one having a car Bedford lives on an even-numbered floor. Only three people live between the ones having a car Cadillac and Maruti. E lives immediately above C. E is not having a car Maruti. Only two people live between B and the one having a car Fargo. The one having a car Fargo lives below the floor on which B lives. The one having a car Fiat does not live immediately above D or immediately below B. D does not live immediately above or immediately below A. G does not have a car Ambassador. Question : How many people live between the floors on which D and the one having a car Bedford ?
In bit-plane slicing if an image is represented by 8 bits and is composed of eight 1-bit plane, with plane 0 showing least significant bit and plane 7 showing most significant bit. Then, which plane(s) contain the majority of visually significant data.
The shift register shown in the figure is initially loaded with the bit pattern 1010. Subsequently, the shift register is clocked, and with each clock pulse the pattern gets shifted by a one-bit position to the right With each shift, the bit at the serial input is pushed to the leftmost position (MSB) After how many clock pulses will the content of the shift register become 1010 again?
A 1 to 8 demultiplexer with data input Din, address inputs S0, S1, and S2, (with S0  as the LSB) and Y̅0 to Y̅ 7 as the eight de-multiplexed output, is to be designed using two 2 to 4 decoders (with enable input E and address input A0 and A1) as shown in the figure. Din, S0, S1, and S2 are to be connected to P, Q, R, and S but not necessarily in this order. The respective input connections to P, Q, R, and S terminals should be