# pset1 - Massachusetts Institute of Technology Department of...

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Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.111 - Introductory Digital Systems Laboratory Problem Set 1 Issued : February 4, 2004 Due : February 13, 2004 Problem 1 : Boolean Algebra Practice Problems (Problem 1 will not be graded.) Simplify each expression by algebraic manipulation. Try to recognize when it is appropriate to transform to the dual, simplify, and re-transform (e.g. no. 6). Try doing the problems before looking at the solutions which are at the end of this problem set. 1) a + 0 = 15) xy + y x = 2) a 0 = 16) x + x y = 3) a + a = 17) ( w + x + y + z ) y = 4) a + a = 5) a + ab = 18) ( x + y )( x + y ) = 6) a + b a = 19) w + [ w + ( wx )] = 7) a a + b ) = 20) x x + ( xy )] = ( [ 8) ab + b a = 21) ( x + x ) = 9) ( a + b )( a + b ) = 22) ( x + x ) = ( 10) a a + b + c + ...) = 23) w + ( yz x w ) = For (11),(12), (13), f ( c b a ) = a + b + c , , 24) w ( wxyz ) = 11) f ( ab b a ) = , , 25) xz + y x + zy = 12) f ( a

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## This note was uploaded on 07/21/2009 for the course EECS 6.111 taught by Professor Prof.ananthachandrakasan during the Spring '04 term at MIT.

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pset1 - Massachusetts Institute of Technology Department of...

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