please give me fuull answer splution in app or just in paper $($what ever give me solution but if required it in any app eplain an give solutin and cood$).$ i think this about testing subj The following Figure shows a circuit with $4$ inputs $($ a$,$b$,$c$,$d $),$ one output $($ F $)$ and $2$ internal nodes $($ x$,$y $).$ An

LFSR will be used to generate test vectors and an SISR will be used for result analysis. The initial value for

the LFSR and SISR are $"1101$ as shown in the Figure. Answer the following questions

a$.$ Use Boolean Difference to find all the test vectors for a sa$0$ and a sa$1.$

b$.$ Use D$-$algorithm to find all test vectors for x sa$0$ and x sa$1.$

c$.$ If we want to generate $6$ test vectors including the initial vector. Then show these $6$ test vectors that

are generated by the LFSR$.$

d$.$ What is the fault coverage achieved by these test vectors. Show how you get this result.

Fault Coverage $=$

e$.$ What is the fault free signature that will be stored in the SISR after applying these test vectors to the

circuit?

f$.$ Assume that node x is sal, what is the signature that will be stored in the SISR after applying these $6$

test vectors to the circuit. after that give me solution in paper