M16_2_M16_Discussion5

M16_2_M16_Discussion5 - UCLA Department of Electrical...

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UCLA Department of Electrical Engineering EEM16 – Fall 2011 Discussion5 1. Ex. 6.11 Show a tree of multiplexers implementing the expressions: a. (±² ³² ´² µ) ¶ ± · ³ ¸ ± · ³ · ´ · ¸ ³´ · µ ¸ ±³µ · ¸ ³¹´µ b. (±² ³² ´² µ² º² ») ¶ ±¼³¼´¼µ¼º¼» 2. Minimize using K-maps: E(a, b, c, d) = [(a’b + d)(b’ + d’)]’ (a) Find minimal sum-of-products and product-of-sums expressions for the switching expression E. (b) Determine prime implicants, essential prime implicants, prime implicates and essential prime implicates for this expression. (c) Does this function have a unique minimal sum-of-products? If not, list other minimal sum-of-products expressions. Does this function have a unique minimal product-of-sums? If not, list other minimal product-of-sums expressions. 3. Combinational Logic Design Design a combinational logic system that rings a bell B whenever motion is detected from one of two motion sensors, m1 and m2 . A switch S
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M16_2_M16_Discussion5 - UCLA Department of Electrical...

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