In electronics, 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.

Demultiplexer is a data distributor which takes a single input and gives several outputs.In demultiplexer we have 1 input and 2n output lines where n is the selection line….Difference between of Multiplexer and Demultiplexer :

How to solve?

1. The first step is to select the multiplexer.
2. Connect the inputs, that correspond to the given minterms to logic 1.
3. Connect all the other inputs to the ground(logic 0).
4. Connect the input variables(P, Q, R) as the selection lines.

The Multiplexer. The multiplexer, shortened to “MUX” or “MPX”, is a combinational logic circuit designed to switch one of several input lines through to a single common output line by the application of a control signal.

Combinational logic is used in computer circuits to perform Boolean algebra on input signals and on stored data. Practical computer circuits normally contain a mixture of combinational and sequential logic.

In fact, combinational logic is most frequently used in multiplexer and demultiplexer type circuits. If multiple inputs or outputs are connected to the common signal line, then the logic gates are used for decoding an address in order to select single data input or output switch.

It is also known as a “data” or “delay” flip-flop. The D flip-flop captures the value of the D-input at a definite portion of the clock cycle (such as the rising edge of the clock). That captured value becomes the Q output. At other times, the output Q does not change.

The movement of a trigger pulse is always from a 0 to 1 and then 1 to 0 of a signal. Thus it takes two transitions in a single signal. When it moves from 0 to 1 it is called a positive transition and when it moves from 1 to 0 it is called a negative transition.

The working of D flip flop is similar to the D latch except that the output of D Flip Flop takes the state of the D input at the moment of a positive edge at the clock pin (or negative edge if the clock input is active low) and delays it by one clock cycle. That’s why, it is commonly known as a delay flip flop.

Generally, shift registers operate in one of four different modes with the basic movement of data through a shift register being: Serial-in to Parallel-out (SIPO) – the register is loaded with serial data, one bit at a time, with the stored data being available at the output in parallel form.