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Massachusetts Institute of Technology
Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science - Introductory Digital Systems Laboratory Problem Set 1. Issued: February 7, 2007 Due: February 20, 2007. boolean algebra Practice Problems (do not turn in): Simplify each expression by algebraic manipulation. Try to recognize when it is appropriate to transform to the dual, simplify, and re-transform ( no. 6). Try doing the problems before looking at the solutions which are at the end of this problem set. 1) a + 0 = _____14) y + y y = _____. 2) a 0 = _____15) xy + x y = _____. 3) a + a = _____16) x + y x = _____. 4) a + a = _____17) ( w + x + y + z ) y = _____. 5) a + ab = _____18) ( x + y )( x + y ) = _____. 6) a + ab = _____19) w + [ w + ( wx )] = _____. 7) a (a + b) = _____20) x[ x + ( xy )] = _____. 8) ab + ab = _____21) ( x + x) = _____. 9) ( a + b)( a + b) = _____22) ( x + x) = _____. 10) a ( a + b + c +.
Boolean Algebra Practice Problems (do not turn in): 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 …
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