$8-$to$-1-$LINE MULTIPLEXER

In this experiment, we are going to use a given $8-$to$-1-$line multiplexer circuit. As it can easily predicted from experiment $\backslash (4\mathrm{.}1,8\backslash )$ to $1$ multiplexer contains $8$ data input, $3$ selection inputs and $1$ output.

PRE$-$LAB WORK

$1-$ Draw the block diagram of $8$ to $1$ multiplexer.

$2-$ Write the truth table of it$.$

$3-$ Can we design a comparator circuit which compares two $2-$bit numbers and detects which is the bigger one? In particular, we have two $2-$bit numbers $($say X$1$X$0$ and Y$1$Y$0).$ If X$1$X$0$ is greater or equal to Y$1$Y$0$ the output of the multiplexer should be $1$ and the output should be $0$ otherwise.

$4-$ Write the truth table of the system described above.

$5-$ Design it by using an $8-$to$-1-$line multiplexer $($hint: choose X$1,$ X$0$ and Y$1$ as selection inputs$).$

POSTLAB QUESTIONS

$1.$ Design the circuits given below by using $8$ to $1$ line multiplexer.

a$)$ Prime number indicator $($as we have done in experiment $2).$

b$)$ A circuit whose output is $1$ if the input is an even number and output is zero if the input is odd $($The given input number is assumed to be a $4-$bit number$).$