Quiz2-101-soln - UBC‘ gun-viral Electrical and Computer...

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Unformatted text preview: UBC‘ gun-viral: _ ' Oct 15, 2010 Electrical and Computer Engineering a place of mind ~ - ‘ l 1 l I EECE256 Quiz 2 — section 101 1 Simplify the following Boolean function with the associated don’ t care conditions ‘ using a Kamaugh map: (4 marks) - .MW._....~_~MM_“WWMWW F(A,B,C,D) = Z(3,7,l_1,13,14,15); d =' 2(6, 12) l (0 l Mm $3595; 5’ mam/0 ' ’ é Manama NH ! A8 0/. my (taxi . l 0 1 W2 0 '3 F: . ; ;‘ 3‘03 5% Hfifllmfi , ”“3"“ - ( ( v . l fl ( l i In /0 a l ‘ (0&0. o a i l ( (WM 0 i - _ 1. , (0(0 6 ._ , (69!! y l i / (#0 X . .' ( (0 i l . l ‘ H (0 ( . K ((1 ( l, a f l ' 2. Draw the multi-level NOR circuit for the following expression (4 marks): ‘ . i . 1‘ ’ F(A,B,C,D,E) = (AB’ +CD’)E+BC(A+B) i _ H 3’ m Vp\ mb\ mi N? W\ Section 101 Quiz 2 2 , g . UBC a place of mind i W Electrical and Computer Engineering Oct. 15, 2010 2 i 3. A minority‘circuit is one Whose output is equal to 1 if the input variables have less PS i than 0’s. Show the following: ' a) the truth table for a 3 input version of this circuit (4 marks): i l 2 a i 2 1 Section 101 Quiz 2 _ ' ' ‘ 2 a place of mind Electrical and Computer Engineering Oct. 15, 2010 l 4. A 3 input combinational circuit is defined by the following three Boolean functions: F1 = (y’ +x)z F2 = y’z’+xy’ + yz’ F3 = (x’ + y)z Design the circuit with a decoder and external gates. Show your design. (4 marks) ”" ”r Mr M? «Fl = y’Z-f—KZ 3 x’y’z- #xy’z- fX/Q-‘fx/é ”W A ”T ' m 1‘7“ "’2 . . F2 = KW?“ ”99%? W 2 ’ ”72’“??- .—-—~ ‘ )L n—r (’2'. [“13 [fig—X? y}? xfgix/a rx Section 101 Quiz 2 01:5 ”1? $e+xfzr} ...
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