ee101_hw3_sol

ee101_hw3_sol - EE 101 Homework 3 Redekopp Name:...

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1 EE 101 Homework 3 Redekopp Name: ___Solutions_____________________________ Due: Score: ________ Show work to get full credit. Remember, use on only one side of the paper and staple them together. Only use a calculator to CHECK your work, not to DO your work. 1.a x’ = x NOR 0 x x’ 0 or inversion can be achieved as x x’ x 1.b According to DeMorgan’s theorem, x·y = () xy xy x 0 y 0 y’ 1.c x + y = x y x + y 1.d Yes. 1.a, 1.b, and 1.c can all be accomplished only using NAND gates in a similar fashion.
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2 2.a F = (A + B’)C’D + C’(A + B’)D’ + D(A + B’) = AC’D + B’C’D + AC’D’ +B’C’D’ + AD + B’D = AC’(D + D’) + B’C’(D + D’) + AD + B’D = AC’ + B’C’ + AD + B’D 2.b G = ( ) ( ) ( ( )) w x y wxy wz xy x w z   = ( ) ( ) ( ( )) w x y wxy x w z -- DeMorgan’s theorem = ( ) ( ) wxy wxy x wz = wxy wxy wxz xxy wwzz wxyz = ( ) 0 w w xy wxz wz wxyz   -- 0 xx = xy wxz wz wxyz = ( 1) xy wz x wxyz -- 11 x  = xy wz wxyz  = (1 ) xy wz xy -- = xy wz 3.a SOP = B’C’ + A’C’ + ABC POS = (B+C’)(A+C’)(A’+B’+C) 1 0 1 1 1 0 6 4 5 7 3 1 00 01 11 10 0 1 2 AB C 0 0 0 0 0 6 4 5 7 3 1 00 01 11 10 0 1 2 AB C
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3 3.b SOP = YZ WY WXZ W XYZ POS = ( )( )( )( ) Y Z W X Y W X Y W Y Z
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This note was uploaded on 11/08/2009 for the course EE 101 at USC.

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ee101_hw3_sol - EE 101 Homework 3 Redekopp Name:...

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