EE2301Dis10F09Sol

EE2301Dis10F09Sol - Department of Electrical and Computer...

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1 Department of Electrical and Computer Engineering University of Minnesota EE2301 Fall 2009 Introduction to Logic Design L. L. Kinney Discussion X Solutions 11/19-20. State reduction and counters. 1. Problem 12.9 in the text. Also, do the following additional parts: determine the characteristic equation for the MN FF, determine the next equations for the counter of part (b), and determine excitation (FF input) equations for the MN FF in part (b) using the next state equations for the counter and the characteristic equation of the MN FF. (a) Q Q + MN 0 0 0 0 1 1 1 0 0 1 1 1 (b) Presen t State CBA Next State C + B + A + M C N C M B N B M A N A 000 001 0 0 1 001 011 0 1 1 010 – – – – – – – – – 011 111 1 1 1 100 000 0 0 0 101 100 1 0 0 110 – – – – – – – – – 111 101 1 0 1 M C = B, N C = A, M B = AC , N B = C , M A = C , N A = B + C MN Q 00 01 11 10 0 0 0 1 1 1 0 1 1 0 Q + = NQ + MQ
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EE2301Dis10F09Sol - Department of Electrical and Computer...

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