hw3_sol - w+z’ y’ w’ F(w,x,y,z) = ∑ (5,6,9,10) Q2...

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ELEC151 – Homework Solution #3 Q1 F=AB’+ABD+ABD’+A’C’D’+A’BC’ 1 1 1 1 1 1 1 1 1 1 1 CD AB 00 01 11 10 00 01 11 10 F F=A+BC’+C’D’ F=A+BC’+C’D’ C C’ F A D D’ BC’ C’D’ A A’ B D D’ BC’ C’D’ C C’ F B F=wx’+y’z’+w’yz’ 1 1 1 1 1 1 1 1 1 yz wx 00 01 11 10 00 01 11 10 F F=wx’+y’z’+w’z’ Q2 (a) 0 0 0 0 0 0 0 yz wx 00 01 11 10 00 01 11 10 F F’=w’z+xz+wxy Minterms Maxterms F=(w+z’)(x’+z’)(w’+x’+y’) y x’ F w x z z’ w’+x’+y’ x’+z’ w+z’ y’ w’ F=(w+z’)(x’+z’)(w’+x’+y’)
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y x’ F w x z z’ w’+x’+y’ x’+z’ F=(w+z’)(x’+z’)(w’+x’+y’)
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Unformatted text preview: w+z’ y’ w’ F(w,x,y,z) = ∑ (5,6,9,10) Q2 (b) 0 0 0 1 0 1 0 0 0 1 0 1 yz wx 00 01 11 10 00 01 11 10 F’= w’x’+wx+yz+y’z’ Maxterms F=(w’+x’)(w+x)(y+z)(y’+z’) F=(AB’+CD’)E+BC(A+B) Q3 A B’ D’ C B B’ A’ E C F Q4 ( ) ( ) ∑ = 12 , 9 , 8 , 4 , 3 , 2 , 1 , , , , D C B A F F’=BD+BC+AC 0 0 0 0 0 0 CD AB 00 01 11 10 00 01 11 10 F B D C B C A F ( ) ( ) ∑ = 12 , 9 , 8 , 4 , 3 , 2 , 1 , , , , D C B A F F’=BD+BC+AC Q4...
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hw3_sol - w+z’ y’ w’ F(w,x,y,z) = ∑ (5,6,9,10) Q2...

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