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HW7_Sol

# HW7_Sol - Homework#7 ECE 15a Solutions 1 Do the following...

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Homework #7 ECE 15a Winter 2008 Solutions 1. Do the following problems from CHR: a. (15) 8.F

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b. (15p) 8.N
2. (5p) Consider the following circuit: The input combination (x,y,z,w) = (0,0,1,1) never occurs. Simplify the circuit such that the simplified and the old circuit produce the same output values for those input combinations that may occur. F = (xy’+yz)(y’+w) = xy’ + xy’w + yzw = xy’+yzw ° ° ± ° ° ° ° ±² ³´ µµ µ° °° °µ µµ µ° °° °µ F = xy’ + zw The simplified circuit: ± ² ³ ´

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3. (15p) 8M.
4. (5p) Show that the following conditions are inconsistent: B A , A=B, A’+B’=1. A, B are sets. 1 represents the universal set. B A ° A’B’ = 0 : replacing B with A (because we know A=B) ° A’A’ = 0 ° A’ = 0 ° A = 1 A’+B’ = 1 : replacing B with A (because we know A=B) ° A’+A’ = 1 ° A’ = 1 ° A = 0 : inconsistency 5. (20p) Consider the following variant of the first problem in lecture notes #11: Rods of varying length l such that L l L 1 . 1 9 . 0 travel on conveyor whose width is 1.1L. Mechanical

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HW7_Sol - Homework#7 ECE 15a Solutions 1 Do the following...

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