TEST2-sol

# TEST2-sol - 1 Spring 2010 Name_SOLUTIONS I.D INTRODUCTION...

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1 Spring 2010 Name: _____SOLUTIONS I.D.: _______________________________ INTRODUCTION TO DIGITAL SYSTEMS DESIGN TEST #2 March 25, 2010 Problem 1 _______________ (22 pts.) Problem 2 _______________ (22 pts.) Problem 3 _______________ (22 pts.) Problem 4 _______________ (24 pts.) Total _______________ (90 pts.) * Remember to put your name and I.D.# on this exam. ** Show all your work (except for multiple choice problems). * Check that you have completed all parts of all problems. Do not spend all your time on one problem, since time is limited. ** Write solutions only on the front side of the exam sheets and only on the page associated with the problem. Solutions given in other locations will not be graded. *** Read and solve each problem carefully , since partial credit will be limited !

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2 Problem 1 A 4-input priority encoder with enable input EI works as follows. When EI is 0, all outputs are 0. When EI is 1, i) and all 4 xi inputs are 0, EO is 1 and y1=y0=0 ii) and not all 4 xi inputs are 0, EO is 0 and y1 and y0 are the binary encoding for the highest (x3 is highest priority and x0 is lowest priority.) EI x3 x2 x1 x0 EO y1 y0 4-Input Priority Encoder (a) Fill in the truth table for this priority encoder. (the inputs are listed in the order EI, x3,…x0 to mak e use of the higher priority inputs). Then derive the Boolean expressions for each output, in the min SOP form. EI x3 x2 x1 x0 EO y1 y0 0 - - - - 0 0 0 1 0 0 0 0 1 0 0 1 1 - - - 0 1 1 1 0 1 - - 0 1 0 1 0 0 1 - 0 0 1 1 0 0 0 1 0 0 0 EO = E I x3’ x2’ x1’ x0’ y1 = EI (x3 + x3’
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TEST2-sol - 1 Spring 2010 Name_SOLUTIONS I.D INTRODUCTION...

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