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Fall2001Test1a - Simplified SOP 2 00 01 11 10 00 X X 01 X 1...

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ECE2030 Fall 2001 Name: __________________________________________ This is a closed book, closed notes test. The length is 50 minutes, please pace yourself appropriately.
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Problem 1 (26 Points): Design switch circuits to implement the following logic. Give the number of transistors for each design. a) b) D B A C ) B A ( F + + = AD C B A F + =
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Problem 2 (24 Points): Use mixed logic to design the gate level circuits for the following logic. In each case, determine the number of transistors needed for the design. a) Use only NAND gates and NOT gates. b) Use only NOR gates and NOT gates. D B A C ) B A ( F + + = ) C A )( D C )( B A ( F + + + =
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Problem 3 (10 Points): Use DeMorgan’s Law to reduce the expressions such that complements are done only on input signals (that is, remove all the “long bars”). a) b) ) Z W ( ) Y X ( F + + = ) D C ( B A C AB F + + =
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Problem 4 (24 Points): Use the Karnaugh maps to simplify the expressions for F. 1) 00 01 11 10 00 1 01 1 1 11 1 1 1 10 Prime Implicants Essential? ____________
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Unformatted text preview: _______ ____________ _______ ____________ _______ ____________ _______ ____________ _______ ____________ _______ Simplified SOP: ____________________________________________ 2) 00 01 11 10 00 X X 01 X 1 1 X 11 1 10 Prime Implicants Essential? ____________ _______ ____________ _______ ____________ _______ ____________ _______ ____________ _______ ____________ _______ Simplified SOP: ____________________________________________ 3) 00 01 11 10 00 1 0 1 1 01 X 0 1 1 11 X 0 X 0 10 1 0 1 1 Simplified POS: ____________________________________________ CD AB CD AB CD AB Problem 5 (16 Points): Do the following number conversions: Convert 111010.101 2 to base 10.___________ Convert 3FA.1875 16 to binary. ____________ Convert 145 10 to binary. _____________ Convert 481 10 to base 16. _____________ Explain why there is a problem with converting 10.2 10 to binary....
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