Tasks: Solution must be written on paper or drawn with some digital device.

no need for explanation. Answers are enough

In the first question everything must be drawn or sketched

Please dont ignore that tasks.

Im posting this homework $5$th time but noone cares the tasks that gave. please give attention to them.

The parameter no represents the last two digits of your student number for all of the questions.

Last two digits of my number is $41$

Q$1.(80$ points$)$ Considering $(no+17{)}_{10}=(abcdefg{)}_2,$ design a synchronous sequence detector circuit that

detects 'abcdefg' from a one$-$bit serial input stream applied to the input of the circuit with each active clock

edge. The sequence detector should detect overlapping sequences.

a$)$ Derive the state diagram, describe the meaning of each state clearly. Specify the type of the

sequential circuit $($Mealy or Moore$),$

b$)$ Determine the number of state variables to use and assign binary codes to the states in the state

diagram,

c$)$ Choose the type of the FFs for the implementation. Give the complete state table of the sequence

detector, using reverse characteristics tables of the corresponding FFs

d$)$ Obtain Boolean functions for state inputs. Also obtain the output Boolean expression,

e$)$ Draw the corresponding logic circuit for the sequence detector.

f$)$ Verify your design by providing Logisim simulation of the obtained circuit and show the

corresponding truth table in Logisim

Q$2.(20$ points$)$ Assign $10$#no h to $00($#no$)$:$0400$h and #no h to $0040$:$00$#no h write a program that store;

a$)$ The sum of these two numbers in $00$#no:$0600$h

b$)$ The difference of these two numbers in $00$#no:$0602$h

c$)$ The product of these two numbers in $00$#no:$0604$h

d$)$ After the division of these two numbers, the quotient in $00$#no:$0608$h and remainder is in

$00$#no:$0610$h

$($Ex: for $\frac{122202099}{(99{)}_{10}}=(63{)}_{16},no=63H)$