QUESTION 5 A majority logic function is a Boolean function that is equal to 1I if the majority of the variables, are equal to 1, equal to 0 otherwise. Determine the function and implement using NAND gates only.

Define a 2-bit demultiplexer to be a circuit whose single input line is steered to one of the four output linesdepending on the state of the two control lines (A, B). Draw its logic diagram (to the gate level) and specify the exactstate of A and B for each output line when that output line is selected.

7. Draw a logic diagram for a 5-bit ring counter has an initial state 01011 and determine the waveform for each Q output during 5 clock pulses.

) Draw the circuit diagram of a full adder by using two blocks of half-adders and one basic logic gate. Write down the Boolean expressions for both the outputs of a full adder.