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# ex3 - The Chinese University of Hong Kong Department of...

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The Chinese University of Hong Kong Department of Computer Science and Engineering ERG2020A (Fall 2007): Revision Exercise # 3 1. Determine a min. SOP expression for [5 pts] f(a,b,c,d,e) = ( a + c + d)( a + b + e)(a + c + e )(c + d + e )(b + c + d + e)( a + b + c + e ) 2. Plot the following function on a K-map and [6 pts] F(A,B,C,D) = B C + A BD + ABC D + B C (a) ﬁnd the min. SOP (b) ﬁnd the min. POS 3. Find the min. SOP for each function [10 pts] (a) f(a,b,c,d) = m (0 , 1 , 5 , 8 , 12 , 14 , 15) + d (2 , 7 , 11) (b) f(a,b,c,d) = Q M (0 , 1 , 4 , 5 , 10 , 11 , 12) · Q D (3 , 8 , 14) 4. Give all PI’s, Essential points, EPI’s and a min. cover [5 pts] C B A 1 D 1 1 1 1 1 1 1 5. Use CMOS Transmission Gates to implement a 4 x 1 Multiplexer (invertors can be used). [10 pts] 1

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6. Text book problems: (a) (3-7) Find the truth table for the outputs F and G of the hierarchical circuit in Figure 3-57. The symbol shown is for the decoder block in Figure 3-14. [10 pts] A A E D D D D 1
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ex3 - The Chinese University of Hong Kong Department of...

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