assignment 7 solutions

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Assignment 7 solutions Truth Table Karnaugh Map for "b" 00 01 11 10 00 1 1 1 1 01 1 0 1 0 11 x x x x 10 1 1 x x DC BA

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Assignment 7 solutions. Karnaugh Map for "b". Truth Table. BA. DC. Another Example: 7 segment displays. BA. BA. DC. DC. Another Example: 7 segment displays. BA. BA. DC. DC. C'+A'B'+AB. Another Example: 7 segment displays. Karnaugh Map for "f". Truth Table. BA. DC. - PowerPoint PPT Presentation

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Page 1: Assignment 7 solutions

Assignment 7 solutions

Truth TableKarnaugh Map for "b"

00 01 11 10

00 1 1 1 1

01 1 0 1 0

11 x x x x

10 1 1 x x

DCBA

Page 2: Assignment 7 solutions

Another Example: 7 segment displays

00 01 11 10

00 1 1 1 1

01 1 0 1 0

11 x x x x

10 1 1 x x

DCBA 00 01 11 10

00 1 1 1 1

01 1 0 1 0

11 1 0 1 0

10 1 1 1 1

DCBA

Page 3: Assignment 7 solutions

Another Example: 7 segment displays

00 01 11 10

00 1 1 1 1

01 1 0 1 0

11 1 0 1 0

10 1 1 1 1

DCBA 00 01 11 10

00 1 1 1 1

01 1 0 1 0

11 1 0 1 0

10 1 1 1 1

DCBA

C'+A'B'+AB

Page 4: Assignment 7 solutions

Another Example: 7 segment displays

Truth TableKarnaugh Map for "f"

00 01 11 10

00 1 0 0 0

01 1 1 0 1

11 x x x x

10 1 1 x x

DCBA

Page 5: Assignment 7 solutions

Another Example: 7 segment displays

00 01 11 10

00 1 0 0 0

01 1 1 0 1

11 x x x x

10 1 1 x x

DCBA 00 01 11 10

00 1 0 0 0

01 1 1 0 1

11 1 1 1 1

10 1 1 1 1

DCBA

Page 6: Assignment 7 solutions

00 01 11 10

00 1 0 0 0

01 1 1 0 1

11 1 1 1 1

10 1 1 1 1

DCBA 00 01 11 10

00 1 0 0 0

01 1 1 0 1

11 1 1 1 1

10 1 1 1 1

DCBA

00 01 11 10

00 1 0 0 0

01 1 1 0 1

11 1 1 1 1

10 1 1 1 1

DCBA 00 01 11 10

00 1 0 0 0

01 1 1 0 1

11 1 1 1 1

10 1 1 1 1

DCBA

D B'A'

B'C A'C

Page 7: Assignment 7 solutions

B'C+A'C+B'A'+D

Page 8: Assignment 7 solutions

A water purification plant uses one tank for chemical sterilization and a second, larger tank for settling and aeration. Each tank is equipped with two sensors that measure the height of water in each tank and the flow rate of water into each tank. When the height or the flow rate of water is too high, the sensors produce a logic high output. Design a logic circuit that sounds an alarm whenever the height of water in both tanks is too high and either of the flow rates is too high, or whenever both flow rates are too high and the height of water in either tank is too high

Af Ah Bf Bh O

0 0 0 0 0

0 0 0 1 0

0 0 1 0 0

0 0 1 1 0

0 1 0 0 0

0 1 0 1 0

0 1 1 0 0

0 1 1 1 1

1 0 0 0 0

1 0 0 1 0

1 0 1 0 0

1 0 1 1 1

1 1 0 0 0

1 1 0 1 1

1 1 1 0 1

1 1 1 1 1

00 01 11 10

00 0 0 0 0

01 0 0 1 0

11 0 1 1 1

10 0 0 1 0

AfAh

BfBh

AfAhBh+ AfAhBf+ BfBhAf+ BfBhAh

AfAh(Bf+Bh) + BfBh(Af+Ah)

Page 9: Assignment 7 solutions

A water purification plant uses one tank for chemical sterilization and a second, larger tank for settling and aeration. Each tank is equipped with two sensors that measure the height of water in each tank and the flow rate of water into each tank. When the height or the flow rate of water is too high, the sensors produce a logic high output. Design a logic circuit that sounds an alarm whenever the height of water in both tanks is too high and either of the flow rates is too high, or whenever both flow rates are too high and the height of water in either tank is too high

AfAh(Bf+Bh) + BfBh(Af+Ah)

AfAh(Bf+Bh)

BfBh(Af+Ah)