Homework Solutions 3

# Homework Solutions 3 - S R P T S R T S R PT T S R PT T S R...

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Homework 3: 1. Find Complement and Dual of F=[(AB+C’D+E’+0)(A’+BC)+1(D’E+B)] (C+E’) E C B E D C B A E D C B A F B E D C B A E D C B A F E C B E D BC A E D C AB F D + + + + + + + = + + + + + + = + + + + + + + = ] ) ( 0 )][ ( 1 . ) )( [( ] ) ( 0 )][ ( 1 . ) )( [( ) )]( ( 1 ) )( 0 [( 2. Find Complement and Dual of F=(A’+B.0+1)[1.(AB’+C)D+E.0]+A’B.1 ) 0 )]( 1 }( ) ( 0 { } 0 ). 1 ( [{ ) 0 )].( 1 }( ) ( 0 { } 0 ). 1 ( [{ 1 . ] 0 . ) .( 1 )[ 1 0 . ( + + + + + + + + = + + + + + + + + = + + + + + = B A E D C B A B A F B A E D C B A B A F B A E D C B A B A F D 3. Obtain Sum of Products of F=(A’+B’+C)(A+D’)(A’+B+D’)(A+B)(A+C+D’) D B A D B A ABC D B A D B BC A D B A D B BC A D B A D B BC A D B A D B C B A B A D B A D A C B A D C A B A D B A D A C B A + + = + + = + + = + + + = + + + + = + + + + + + = + + + + + + + + ) ( ) ( ) )( ( ] )][ )( ( [ ) )( )( )( ( ) )( )( )( )( ( 4. Obtain Sum of Products of F=(A+B+C)(A’+B’+D’)(A’+B’+C’)(A+B+D) CD A B A D AC B A D C B A CD B A D B A C B A D B A C B A + + + = + + + + = + + + + + + + + ) )( ( ) )( )( )( (

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5. Obtain Product of Sums of F=A’C’D+AB’D’+A’CD’+BD ) )( )( )( ( ) ))( )( ( ( ) ( ) ( D C B D B A D B A D C A B C A D B A C A D D C A B A D B C A BD D C A D B A D C A + + + + + + + + = + + + + + = + + + = + + + 6. Obtain Product of Sums of F= A’B’C’+A’D’+ABC’+AD ) )( )( )( ( ) )( ( ) ( ) ( D C A D B A D C A D B A D C B A D C B A D C B A D C B A AD C AB D A C B A + + + + + + + + = + + + + = + + + = + + + 7. Simplify F=[(A+B)’+({(A+B)+A}’)’ ] {(A+B)+A}’)’ B A B A A B A A A B A A A B A A B A A B A B A A B A A B A B A F = = + + + = + + + = + + + + + + = ) ( ] ][ [ ] ) ][( ) ( [ } ) ( { ] } ) ( { ) ( [ 8. Simplify G=[ T{(R+S+T)’PT(R+S)’}’]’ T T T
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Unformatted text preview: S R P T S R T S R PT T S R PT T S R T S R PT T S R T G = + = + = + + + + = + + + = ) ( ) )( ( } ) ( ) ( { ] } ) ( ) ( { [ 9. Implement Y=a’b’c+a’bc’+ab’c’+abc using only Equivalence Gates c b a c b a c b a c b a c b a c b a b a c ab b a abc c b a c b a c b a Y ≡ ≡ = ≡ + ≡ = ⊕ + ≡ = + + + = + + + = ) ( ) ( ) ( ) ( ) ( ) ( ) ( 10. Implement Y=a’bc’+abc’+a’bc+ab’c using only Equivalence Gates ] ) [( ) ( ) ( ) ( ) ( ) ( ) ( ) ( c b a c b a c b a c b a c b a c b a c b a b a c ab b a c b a bc a c ab c b a F ⊕ ⊕ = ≡ ⊕ = ⊕ + ⊕ = ⊕ + ≡ = + + + = + + + =...
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Homework Solutions 3 - S R P T S R T S R PT T S R PT T S R...

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