cs2204ex2ans

# cs2204ex2ans - CS2204 DIGITAL LOGIC STATE MACHINE DESIGN...

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CS2204 DIGITAL LOGIC & STATE MACHINE DESIGN FALL 2009 Polytechnic Institute of NYU Page 1 of 2 Handout No : 18 November 17, 2009 EXAM II ANSWERS 1) The following equations are given : This is a Mealy circuit : The sequential circuit outputs, z2 and z1, are dependent on x. That is the z2 and z1 equations contain “x” as one of the variables. The analysis of the sequential circuit is continued : z0 = y 2 + y 0 D 2 = x D 1 = y 2 D 0 = y 1 z1 = x + y 1 + (y 2 y 0 ) z2 = x y 1 + x y 2 y 0 + y 2 y 1 y 0 e) The state diagram : c) The excitation table : y 2 y 1 y 0 x=0 x=1 z2 z1 z0 x=0 x=1 000 0 0 0 1 0 0 000 010 001 0 0 0 1 0 0 001 011 010 0 0 1 1 0 1 010 100 011 0 0 1 1 0 1 011 101 100 0 1 0 1 1 0 001 011 101 0 1 0 1 1 0 010 100 110 0 1 1 1 1 1 011 101 111 0 1 1 1 1 1 100 110 y 2 y 1 y 0 d) The state table : PS x=0 x=1 x=0 x=1 a a e 0 2 b a e 1 3 c b f 2 4 d b f 3 5 e c g 1 3 f c g 2 4 g d h 3 5 h d h 4 6 NS OUT a b c d e f g h f) The functional description : (i) Timing analysis : Time t0 t1 t2 t3 t4

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cs2204ex2ans - CS2204 DIGITAL LOGIC STATE MACHINE DESIGN...

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