hw02_SLN - ECE 211 HW 2 Solutions p 1 of 6

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Unformatted text preview: ECE 211 HW 2 Solutions p 1 of 6 //home/vdimitrov/25330/91a9f0118ad1a0bf9591e573625e7aee98ab48ac.doc HW Set 2 – Solutions 1. Use DeMorgan’s Laws to obtain the negation of (A + B ' + C ) ⋅ ( A' + D ) ⋅ ( E' + F ) Solution: [ (A + B ' + C ) ⋅ ( A' + D ) ⋅ ( E' + F) ] ' = ( A + B' + C ) ' + ( A' + D )' + (E' + F )' = ( A' ⋅ B ⋅ C' ) + ( A ⋅ D' ) + ( E ⋅ F' ) ECE 211 HW 2 Solutions p 2 of 6 2. Use DeMorgan’s Laws to obtain the negation of (A' ⋅ B ⋅ C' ) + ( A ⋅ D' ) + [ F + ( G ⋅ H' ) ] Solution: { (A' ⋅ B ⋅ C' ) + ( A ⋅ D' ) + [ F + ( G ⋅ H' ) ] }' = (A' ⋅ B ⋅ C' )' ⋅ ( A ⋅ D' )' ⋅ [ F + ( G ⋅ H' ) ] ' = (A + B' + C) ⋅ (A' + D) ⋅ [ ( F' ) ⋅ (G H' )' ] = ( A + B' + C ) ⋅ (A' + D) ⋅ ( F' ) ⋅ (G' + H ) ] ECE 211 HW 2 Solutions p 3 of 6 3. Write a logic expression for E = "All 3-bit subsets of the four bits b3, b2, b1, b0 have even parity." (One possible subset consists of the bits b3, b2 and b1. There are a total of four different 3-bit subsets.)(One possible subset consists of the bits b3, b2 and b1....
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This homework help was uploaded on 04/17/2008 for the course ECE 211 taught by Professor Nestor during the Fall '07 term at Lafayette.

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hw02_SLN - ECE 211 HW 2 Solutions p 1 of 6

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