fa99-da-s1

# fa99-da-s1 - GEORGIA INSTITUTE OF TECHNOLOGY School of...

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GEORGIA INSTITUTE OF TECHNOLOGY School of Electrical and Computer Engineering EE 2030 QUIZ #1 Thursday, September 16, 1999 Name: Last, First Closed book, closed notes. None of the problems require involved calculations. Reconsider your approach before doing something tedious. Clearly identify each answer. Part pts Score 1 16 16 2 15 15 3 15 15 4 14 14 5 15 15 6 10 10 7 15 15 bonus 4 Total 100 104 Some useful Boolean identities. 1. X + 0 = X 2. X · 1 = X 3. X + 1 = 1 4. X · 0 = 0 5. X + X = X 6. X · X = X 7. X + X = 1 8. X · X = 0 9. X = X 10. X + Y = Y + X 11. XY = Y X Commutative 12. X + ( Y + Z ) = ( X + Y ) + Z 13. X ( Y Z ) = ( XY ) Z Associative 14. X ( Y + Z ) = ( XY + XZ ) 15. X + Y Z = ( X + Y )( X + Z ) Distributive 16. X + Y = X · Y 17. X · Y = X + Y DeMorgan’s

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Problem 1 (16 pts): Implement the following expressions using n-type and p-type transistors in the standard CMOS configuration that we used in class. 1. F = a b + c F = ( a + b ) c + V a b c a b c F 2. F = x ( y + z ) F = x + y z + V z y F x y z x
Problem 2 (15 pts): Make a truth table for the following function: F ( a, b, c ) = X m (1 , 2 , 3 , 7) .

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• Spring '10
• Wills
• Boolean Algebra, pts, Karnaugh map, GEORGIA INSTITUTE OF TECHNOLOGY School of Electrical and Computer Engineering

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