DelayandStates

# DelayandStates - Starting Point MICROSCOPIC VIEW OF"STATE...

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IDEAL GATE Ψ A, B, C, ,F K ( ) Delay τ A(t) B(t) C(t) F(t) Z(t) Zt + ( ) Zt+ Z t + τ ( ) = ( ) Z t A t , B t , C t , ,F t + ( ) = ( ) ( ) ( ) ( ) ( ) Ψ K Make Every Gate Output a State Variable; Then Next-State Equation is Starting Point MICROSCOPIC VIEW OF "STATE" REPRESENTATION

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A 0 1 W X Y Z INPUT A OUTPUT Z STATE VARIABLES W X Y Z ASSUME UNIFORM DELAY PRESENT STATE / NEXT STATE EQUATIONS W(t +∆ ) = A (t) + Z (t) X(t +∆ ) = A (t) + W (t) Y(t +∆ ) = Z (t) + W (t) Z(t +∆ ) = X (t) + Y (t)
PRESENT STATE W(t) X(t) Y(t) Z(t) INPUT A = 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 0

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DelayandStates - Starting Point MICROSCOPIC VIEW OF"STATE...

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