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A Computer Story: Complexity from Simplicity A Computer Story: Complexity from Simplicity Lehigh University and Parkland High School Lehigh University.

Published byAudrey Jemima Perkins Modified over 9 years ago

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Presentation on theme: "A Computer Story: Complexity from Simplicity A Computer Story: Complexity from Simplicity Lehigh University and Parkland High School Lehigh University."— Presentation transcript:

1 A Computer Story: Complexity from Simplicity A Computer Story: Complexity from Simplicity Lehigh University and Parkland High School Lehigh University and Parkland High School Gary DeLeo, Amanda Weidenhammer, and Kristen Wecht

2 “Series” Plumbing Faucet 1Faucet 2Water? off on off on

3 “Series” Plumbing Faucet 1Faucet 2Water? off no offonno onoffno on yes

4 Series Circuit Switch 1Switch 2Light 00 01 10 11 0 = Off 1 = On battery light switch 1switch 2

5 Series Circuit Switch 1Switch 2Light 00 01 10 11 0 = Off 1 = On battery light switch 1switch 2

6 Series Circuit Switch 1Switch 2Light 000 01 10 11 0 = Off 1 = On battery light switch 1switch 2

7 Series Circuit Switch 1Switch 2Light 000 01 10 11 0 = Off 1 = On battery light switch 1switch 2

8 Series Circuit Switch 1Switch 2Light 000 010 10 11 0 = Off 1 = On battery light switch 1switch 2

9 Series Circuit Switch 1Switch 2Light 000 010 10 11 0 = Off 1 = On battery light switch 1switch 2

10 Series Circuit Switch 1Switch 2Light 000 010 100 11 0 = Off 1 = On battery light switch 1switch 2

11 Series Circuit Switch 1Switch 2Light 000 010 100 11 0 = Off 1 = On battery light switch 1switch 2

12 Series Circuit Switch 1Switch 2Light 000 010 100 111 0 = Off 1 = On battery light switch 1switch 2

13 Switch 1Switch 2Light 000 010 100 111 0 = Off 1 = On XYZ battery light switch 1switch 2 X Y Z Series Circuit

14 XYZ 000 010 100 111 0 = Off 1 = On battery Z XY

15 Truth Table for X AND Y XYZ 000 010 100 111 Z = X AND Y OutputInput XY

16 “Parallel” Plumbing Faucet 1Faucet 2Water? off on off on

17 “Parallel” Plumbing Faucet 1Faucet 2Water? off no offonyes onoffyes on yes

18 Parallel Circuit Switch 1Switch 2Light 00 01 10 11 0 = Off 1 = On battery light switch 1 switch 2

19 Parallel Circuit Switch 1Switch 2Light 00 01 10 11 0 = Off 1 = On battery light switch 1 switch 2

20 Parallel Circuit Switch 1Switch 2Light 000 01 10 11 0 = Off 1 = On battery light switch 1 switch 2

21 Parallel Circuit Switch 1Switch 2Light 000 01 10 11 0 = Off 1 = On battery light switch 1 switch 2

22 Parallel Circuit Switch 1Switch 2Light 000 011 10 11 0 = Off 1 = On battery light switch 1 switch 2

23 Parallel Circuit Switch 1Switch 2Light 000 011 10 11 0 = Off 1 = On battery light switch 1 switch 2

24 Parallel Circuit Switch 1Switch 2Light 000 011 101 11 0 = Off 1 = On battery light switch 1 switch 2

25 Parallel Circuit Switch 1Switch 2Light 000 011 101 11 0 = Off 1 = On battery light switch 1 switch 2

26 Parallel Circuit Switch 1Switch 2Light 000 011 101 111 0 = Off 1 = On battery light switch 1 switch 2

27 Parallel Circuit Switch 1Switch 2Light 000 011 101 111 0 = Off 1 = On battery light switch 1 switch 2 XYZ X Y Z

28 Parallel Circuit XYZ 000 011 101 111 0 = Off 1 = On battery Z X Y

29 Truth Table for X OR Y XYZ 000 011 101 111 Z = X OR Y OutputInput XY

30 XYZ 000 011 101 110 X XOR Y XY XOR Truth Table for “XOR” Means X or Y, but Not Both (“Exclusive OR”)

31 X NOT Truth Table for XX 01 10 NOT X (= X)

32 X NOT Electrical Circuit Elements XX )( X AND Y X Y X Y X OR Y X Y X XOR Y

33 A B C D G1 G2 G3 G4 G5 G6 G7 G8 G9 G10 G11 G12 G13 G14 G15 b a c d f g e b c a d f e g B C D Seven-Segment Display Converter

34 ABCDNumber 0 1 2 3 4 5 6 7 8 9 0 = Off 1 = On Binary Coded Decimal (BCD)

35 ABCDNumber 0000 0 1 2 3 4 5 6 7 8 9 0 = Off 1 = On Binary Coded Decimal (BCD)

36 ABCDNumber 0000 0 0001 1 2 3 4 5 6 7 8 9 0 = Off 1 = On Binary Coded Decimal (BCD)

37 ABCDNumber 0000 0 0001 1 0010 2 3 4 5 6 7 8 9 0 = Off 1 = On Binary Coded Decimal (BCD)

38 ABCDNumber 0000 0 0001 1 0010 2 0011 3 4 5 6 7 8 9 0 = Off 1 = On Binary Coded Decimal (BCD)

39 ABCDNumber 0000 0 0001 1 0010 2 0011 3 0100 4 5 6 7 8 9 0 = Off 1 = On Binary Coded Decimal (BCD)

40 ABCDNumber 0000 0 0001 1 0010 2 0011 3 0100 4 0101 5 0110 6 0111 7 1000 8 1001 9 0 = Off 1 = On Binary Coded Decimal (BCD)

41 A B C D G1 G2 G3 G4 G5 G6 G7 G8 G9 G10 G11 G12 G13 G14 G15 b a c d f g e b c a d f e g B C D Seven-Segment Display Converter

42 Seven-Light Display Number (0-9) ABCD a b c d e f g

43 Seven-Light Display Number (0-9) ABCD a b c d e f g b c a d f e g

44 Number (3) ABCD a b c d e f g b c a d f e g 0011 0011 Seven-Light Display

45 Number (3) ABCD a b c d e f g b c a d f e g 0011 b Seven-Light Display

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