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Question 4 State Machines (25 marks) a. (5 marks) A 3-bit Gray code counter advances on positive clock edges and generates ou

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Answer #1

a)

PRESENT STATE

NEXT STATE

G2

G1

G0

G2+

G1+

G0+

0

0

0

0

0

1

0

0

1

0

1

1

0

1

0

1

1

0

0

1

1

0

1

0

1

0

0

0

0

0

1

0

1

1

0

0

1

1

0

1

1

1

1

1

1

1

0

1

b)

bD G G210+ G2G1G0 +G2GGo G2G140 Git=2Gi Go 2G1G0 2G1G0 +92GIG0 + Got=G2Go G2G1G0 2G 0 +G2GSOSO S2 Mealy State Machine with oveslapState Table

STATE

PRESENT STATE

INPUT

NEXT STATE

OUTPUT

Q1

Q0

serial_in

Q1+

Q0+

Z

S0

0

0

0

0

0

0

0

0

1

0

1

0

S1

0

1

0

1

0

0

0

1

1

0

1

0

S2

1

0

0

0

0

0

1

0

1

0

1

1

UNUSED

1

1

0

X

X

X

1

1

1

X

X

X

Kernauyk Maps Serialin serial.in Senialin O1 00 00 01 O1 01 |X| X X IT 10 Z=Serlalin Qit=Roserial in Sesialinserial in Q1 x1 Den0 Q0 Den0 CLK Z x1. O

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