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For the following FSM implementation assuming Y 1 and Y 0 are current state and

ID: 2990277 • Letter: F

Question

For the following FSM implementation assuming Y1 and Y0 are current state and (Y_1 and Y_0 are next state) values, what is the equation for Y_1*?

a Y_1* = (Y_1 & Y_0)

bY_1* = ~(Y_1 & Y_0)

cY_1* = ~(~Y_1 & Y_0)

dY_1* = ~(Y_1 & ~Y_0)

For the following FSM implementation assuming Y1 and Y0 are current state and (Y_1 and Y_0 are next state) values, what is the equation for Y_1*? Please Solve I couldn't get it a Y_1* = (Y_1 & Y_0) bY_1* = ~(Y_1 & Y_0) cY_1* = ~(~Y_1 & Y_0) dY_1* = ~(Y_1 & ~Y_0)

Explanation / Answer

since its D flip flop then nex state Y for D flip flop is Y=D

here D1=y0 +(~y1)

using demorgans law (~a)|(~b)=~(a&b)

in our equation ~a=y0 ,~b=~y1

so a=~y0; b=y1

so D=~(~y0&y1)

Y1=~(~y0&y1)=(y1&~y0)

so the answer is D; which is~(y1&~y0)

here the small y say its present state caps Y say its next state