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Homework Solutions 4

# Homework Solutions 4 - Homework Solutions 4 1 Given the...

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Homework Solutions 4: 1. Given the following truth table, write Minterm and Maxterm expressions x y z a b 0 0 0 1 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 z y x z y x z y x z y x m a + + + = = ° ) 4 , 2 , 1 , 0 ( ) )( )( )( ( ) 7 , 6 , 5 , 3 ( z y x z y x z y x z y x M a + + + + + + + + = = z xy z y x yz x z y x m b + + + = = ° ) 6 , 5 , 3 , 1 ( ) )( )( )( ( ) 7 , 4 , 2 , 0 ( z y x z y x z y x z y x M b + + + + + + + + = = ° 2. Write Minterm and Maxterm form for ) )( )( )( ( ) , , , ( a d c b a d b a c a d b d c b a f + + + + + + + + = ) )( )( ( ) )( )( )( )( )( ( ) )( )( )( ( ) )( )( )( ( ) , , , ( d c b a d c b a d c b a d c b a d c b a d c b a d c b a d c b a d c b a a d c b c c a d b d d b b a c c c a d b a d c b a d b a c a d b d c b a f + + + + + + + + + + + + + + + + + + + + + + + + + + + = + + + + + + + + + + + + = + + + + + + + + =

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° ° = = = = ) 13 , 12 , 9 , 8 , 6 , 4 , 3 ( ) ( ) 15 , 14 , 11 , 10 , 7 , 5 , 2 , 1 , 0 ( ) ( ) 13 , 12 , 9 , 8 , 6 , 4 , 3 ( ) ( ) 15 , 14 , 11 , 10 , 7 , 5 , 2 , 1 , 0 ( ) ( M f d m f c m f b M f a 3. A combinational circuit is divided into two subcircuits N 1 , and N 2 as shown. The truth table for N 1 is given. Assume that the input combinations ABC = 110 and ABC = 010 never occur. Change as many of the values of D, E, and F to don't cares as you can without changing the value of the output Z.
4. Find the minimum sum of products and the minimum product of sums for each function: f(a, b, c, d) = ° M (0, 1, 6, 8, 11, 12) • ° D (3, 7, 14, 15) 5. Find the minimum sum of products and the minimum product of sums for each

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Homework Solutions 4 - Homework Solutions 4 1 Given the...

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