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Question 4 State Machines (25 marks) A state machine is required to generate the first 8 digits of pi (ignoring the decimal p

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Answer #1

(a)SO S7 0110 S2 S6 00TO OT0O S3 S5 0000 J001 S4 TOTO MOORE STATE MACHINE

(b)

STATE TABLE

STATE

PRESENT STATE

NEXT STATE

BCD OUTPUT

Q2

Q1

Q0

Q2+

Q1+

Q0+

D3

D2

D1

D0

S0

0

0

0

0

0

1

0

0

1

1

S1

0

0

1

0

1

0

0

0

0

1

S2

0

1

0

0

1

1

0

1

0

0

S3

0

1

1

1

0

0

0

0

0

1

S4

1

0

0

1

0

1

0

1

0

1

S5

1

0

1

1

1

0

1

0

0

1

S6

1

1

0

1

1

1

0

0

1

0

S7

1

1

1

0

0

0

0

1

1

0

(b) unoptimised equabons (i.e. Q2t, it & t) 20+2, 2 2 Qt=1R。+ マ291@0+Q2o+Q29」 Got 2Ro +2 ( Unoptimised out put D3 D2 DI 。+ 。+

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