(Solved): logic design Question 2: Design of 4-to-2 Multiplexer and 2-to-4 Demultiplexer. [Marks: 60] The work ...

Question 2: Design of 4-to-2 Multiplexer and 2-to-4 Demultiplexer. [Marks: 60] The working principle of the multiplexer is as follows: To summarize; If $${\mathrm{S}}_1=1$$, then select input channel $$\mathrm{A}$$ If $$S_1=0$$, then select input channel B a. Show the block diagram using two 2-to-1 multiplexers. [5 Marks] b. Using truth table and Karnaugh maps, find the simplified Boolean expressions of outputs $${\mathrm{X}}_1$$ and $${\mathrm{X}}_0$$. [24 Marks] The working principle of the demultiplexer is as follows: If $$S_2=1$$, then select output channel $$L$$ If $$S_2=0$$, then select output channel $$\mathrm{K}$$ c. Using truth table and Karnaugh maps, find the simplified Boolean expressions of outputs $${\mathrm{K}}_1,{\mathrm{K}}_0$$, $${\mathrm{L}}_1$$ and $${\mathrm{L}}_0$$. [24 Marks] d. Draw the logic circuit from $${\mathrm{A}}_1{\mathrm{A}}_0,{\mathrm{B}}_1,{\mathrm{B}}_0$$ to $${\mathrm{K}}_1,{\mathrm{K}}_0,{\mathrm{L}}_1$$ and $${\mathrm{L}}_0$$. [7 Marks]