$(10$p$)$ Mark the following $($T$-$F$)$ questions using T for True, and F for False.

a$)(.....)$ A decoder with enable input can function as a demultiplexer.

b$)(.....)$ An encoder acts like an electronic switch that selects one of the input sources.

e$)(.....)$ A combinational logic can have at least one feedback loop.

d$)(......)$ A flip$-$flop is a binary storage device capable of storing one bit of information.

e$)(.....)$ A Full Adder can be implemented using a $38$ decoder and two or gates.

Q $2.(10p)$ In the circuit diagram shown below, note that there is one flip flop and one lateh. Complete the timing diagram at the right to show how outputs $x$ and $Y$ change in response to the input changes.

Q $3.(18p)$ Answer the following quesnons.

a$)35=217$ What is the base?

b$)12+34=101$ What is the base?

c$)$ Two's complement of $01110100$ is

$=$

d$)$ Using $4$ bits, what is the gray code value of $(5)?$

e$)$ How many cells are there in a $6-$variable k$-$map?

$=$

f$)$ What should the value of $?$ bit be if the byte $?0100101$ is transmitted using odd parity? $=$