Problem 1. Using Karnaugh maps find a minimal sum of products expression and a minimal product of sums expression for each of the following logic functions (a) F(W,X,Y,Z)= 2(m,,m2,m4, m,,m3,M¡1,m13, 75 115 14 (b) F(W,X,Y,Z) = II(M1, M3, M,, M5, M6, M7, M9, M12, M13,M 14) (c) F(W.X,Y,Z) =2(m,,m,,m,,m13, m5)+ d(mo.mı,m7,m¡1.m12) (d) F(WXY) = 1I(M,,M,,M3, M6, ‚M,) Note: d(m;) means F(W,X,Y,Z) for the row of the truth table corresponding to the i'th minterm is "don't

Computer Networking: A Top-Down Approach (7th Edition)
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Problem 1. Using Karnaugh maps find a minimal sum of products expression and a minimal product of sums
expression for each of the following logic functions
(a) F(W,X,Y,Z) = 2(m,,m,,m4,m,,mg,M11, m13 , M14 )
(b) F(W,X,Y,Z) = II(M,,M,
,M,,M3, M6, M,,M,,M2, M13,M 14)
5>
(c) F(W,X,Y,Z) = 2(m,,m;, m,,m¡3, M15) + d(mo,m1,m7,m11,m¡2)
13>
(d) F(WXY) = II(M,,M,M3,M,,M,)
12
69
Note: d(m;) means F(W,X,Y,Z) for the row of the truth table corresponding to the i’th minterm is "don't
care".
Transcribed Image Text:Problem 1. Using Karnaugh maps find a minimal sum of products expression and a minimal product of sums expression for each of the following logic functions (a) F(W,X,Y,Z) = 2(m,,m,,m4,m,,mg,M11, m13 , M14 ) (b) F(W,X,Y,Z) = II(M,,M, ,M,,M3, M6, M,,M,,M2, M13,M 14) 5> (c) F(W,X,Y,Z) = 2(m,,m;, m,,m¡3, M15) + d(mo,m1,m7,m11,m¡2) 13> (d) F(WXY) = II(M,,M,M3,M,,M,) 12 69 Note: d(m;) means F(W,X,Y,Z) for the row of the truth table corresponding to the i’th minterm is "don't care".
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