Consider the function $F(w_1,w_2)\frac{?}{b}=ar(w_1)\frac{*}{b}ar(w_2)+w_1*w_2.$ Use the truth table to derive a circuit for F that uses a $2-$to$-1$ multiplexer.

Design a $4-$to$-2$ binary encoder and draw its logic circuit.

Implement function $F(A,B,C)={\displaystyle \underset{?}{\overset{?}{}}}m(1,3,4)$ by using $3-$to$-8$ decoder and an OR gate.

Design a $12$ demultiplexer with one select input.

Draw the circuit of a basic latch and write down its characteristic table.

Given the following circuit and the waveforms of the clock and the D input, draw the waveforms of the output Q $.$

Given the following circuit and the waveforms of the clock and the T input, draw the waveforms of the output Q $.$

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