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HW5_Practice_Problems_solutions_scan

# HW5_Practice_Problems_solutions_scan - ECE 2030 E,F...

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Unformatted text preview: ECE 2030 E,F Homework #5 — Practice Problems - SOLUTIONS (will not be graded) (l) Optimize F as a minimum-SOP using a 4-van'able K-Map, and ﬁnding P15 and EPIs. F(A,B,C,D) = z m(2,7,8,10,1 1,14,12 A6 \CD 0 or II no RIIJ _, 5. 00 m2+mm "' 5CD m7+m’5- g 0i 6 M\$+m’w 1A Ewe/NW ' m A N All 60ml 4%; £9444“ P‘Il’g ’0 F' HC+EC§+BCD+EBD (2) Write the function in (I as a Product of Maxterms. y: —_ TTM (Qt/3,1.ijé/cl/IZIIB) (3) Find the minimum POS for the function in (l). _.. _M\‘Vl:ml\_7~£ F as 50?) and “My: tiff/7 Demﬁjqni 77:. cp Jo ism F M Po}. 0, .9 [I F: 55+ 85—? . v ’ ‘ F : @+L)v(l§4c)'(C+D)’(/4+B+D)t(1413+b) (Mm PD!) (4) Use a 4-to-l6 line decoder and OR-gate(s) to design the function in (1). (6) Use the Quine-McClusky method to ﬁnd the minimum SOP for the function in (1). - O l 0 (111°) 5(— (RI) / CM?) 0C9IL9 “9,0 (33m) )VUJ‘) / ( “8) '0” . / I, 10!] ./ (M10) '0’0 / ’18“? (Oz/’3) xw ,m (Z'r)*(""'> /;~H(“/'>j “(M7) 0/” /l"’("b”7 / UH”) ,0!) P ‘/ @‘H‘Q’HO ( M (M15) HI? 5M» f”.- ECD/ ~010(2,l0) (Q ’ )<' AB? 10~0(8/0) (9 X V aw v/ WW) (9 X AL )'/'//6’;’Z/f) 3 ® ® X an QQW RIJ am 05 "/ :> F:§C§+ﬂﬂ_5+BCD+/}L 7/ (7) Design the function in (1) using a 16-to-1 mulitplexer. (9) Use the solution from (1) to design the function using a PLA. F = Ac +ECS+BCDH6F5 A-JDO Do 5 L ‘U ...
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