HW 1 Due Friday Jan 16 ECE2030a Name Email Bring this homework to class on Friday Jan 16 but do not turn it in until the end of class Note that A is a notation for NOT A The symbol is AND is OR 1 Fill in the truth table below for the logic function Out A BC A B C Out 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 2 Simplify the Boolean expression so that it has only three parameters out of A A B B C C A C ABC A AB C A B C 3 Fill in the truth table for the Output of the function in problem 2 A B C Out 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 p 1 4 Using DeMorgan s Theorem express the function below as indicated F A B C AC A C BC By chance A A C BC C 1 B C a With only OR and Complement operations A C A C B C b With only AND and Complement operations AC A C BC 5 In order to design a single stage logic circuit we need to express the logic function so that only single literals are complemented no complemented parentheses like A B Express the following logic functions that way use DeMorgan s theorem A B C D E F AB C D E F B C D E F AB C D AB C D A B C D p 2
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