ENGG1203_Tutorial_1_Q - ENGG 1203 Tutorial Combinational...

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1 ENGG 1203 Tutorial square6 Combinational Logic square6 12/19 Sep square6 Learning Objectives boxshadowdwn Apply Boolean Algebra (SoP/PoS, DeMorgan's Theorem) boxshadowdwn Simplify logic expressions (grouping, redundant, K-map) square6 Ack.: HKU ELEC1008, Wikimedia Commons
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Q1a 2 square6 Prove each of the following expression, and state whether the right hand side is a SOP, (ii) a POS, (iii) both a SOP and a POS, (iv) neither a SOP nor a POS.
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Q1b/c 3
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Q2 4 square6 Consider the expression square6 Write the simplified SOP using Boolean algebra square6 Implement this expression using 2 NOT gates, 1 two- element AND gate, and 2 two-element OR gates. The inputs are {a; b; c; d}, and the output is S. ( ) S a b c d = + +
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5 Q3 ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) . a d b c a d b c a d b c a b c c d a b c c d a b c d a d b c c d a d b c c d a b c d + + = + + + = + + + + = = + + + = = square6 Use DeMorgan's Theorem for simplification square6 square6 square6
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6 Q4 square6 Find an expression for F and F
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Q5 square6 Convert Boolean expressions to truth table and logic circuit (AND/OR/NOT) 7
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Q6 square6 Convert Boolean expressions to truth table and logic circuit (AND/OR/NOT)
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