hws04 - 4) (7')Design a combinational circuit that takes 2...

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COCO 2610 Solution to Homework 4 Total score: 2~points 1) (~ith 2' each) 4.10 (c), (d),~ (c) F = A'B'C'D+A'B'CD'+A'BC'D+A'BCD' F = IIA,B,c,D(0,3,4,7,8,9,10,11,12,13,14,15) = (A+B+C+D) (A+B+C'+D') (A+B'+C+D) (A+B'+C'+D') (A'+B+C+D) (A'+B+C+D') (A'+B+C'+D) (A'+B+C'+D') (A'+B'+C+D) (A'+B'+C+D') (A'+B'+C'+D) (A'+B'+C'+D (d) F = (M+N+P) (M+N+P') (M+N'+P') (M'+N'+P) (M'+N'+P') F =~ ( 2 4 5 ) = M'NP'+MN'P'+MN'P M,N,P " "1~\-~;"(NY')~7+7')+VZ'(X-+~)- } "n:z-,.:>.u.Y--'-Z-=t"X->YZ-2. .H~' , ~YL'TX'y"Z ,.-- ,~:zcv,l;2-;3~ ~t4:5J1 ~~. .1+-Y-r.P1(-X. .l. .J::Y--I--2-"'ltX'TY-'-tZ.2. . 2) (8' with 2' each) 4-13 (c)-(f) (c) F = ~w,xy(2,6,7) = XY'+WX ~I (e) F =~A,B,c,D(0,2,3,4,5,6,8,10,11,12,14) = D'+B'C+A'BC' (f) F = BC'D'+A'C'D+BCD+ABC (this answer may vary due to different m( combination) 1 1 3) (4' with 2' each) 4-16 (a) and (f) (a) F = A'C'+B'C'+A'B'
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9Wl ~1 ~ (f) F =LA,B,c,o(O,2,8,10,11,15) = ACD+B'D'
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Unformatted text preview: 4) (7')Design a combinational circuit that takes 2 inputs and outputs its two's complement. a) specify the input and output, how many outputs? (2') b) produce the truth table (2') c) give the canonical sum for each output (2') d) minimize each output expression if necessary using K-map (l') a) Since the input must be 2-bit signed number represented in two's complement. The input therefore ranges from -2 to 1. To represent the two's complement (or negative) of the input, we need 3 bits output (since 2 can not be represented by 2-bit in two's complement). The output number ranges from 2 to -1 to correspond to the input number range. b) c) A = LX,y(l) = X'Y B = Lx,y(l,2) = X'Y+XY' C = Lx,y(l,3) = X'Y+XY d) A=X'Y, B=X'Y+XY', C=Y x y A B C 1 1 1 1 1 1 1 1 1...
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hws04 - 4) (7')Design a combinational circuit that takes 2...

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