# Design of Networks with Limited Gate Fan-in

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Design of Networks with Limited Gate Fan-in. If a two-level network realization requires more more gate Inputs than allowed, factoring the logic expression to obtain a multi-level realization is necessary. Example: Realize f(a,b,c,d) = S m(0,3,4,5,8,910,14,15)
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Design of Networks with Limited Gate Fan-inIf a two-level network realization requires more more gate Inputs than allowed, factoring the logic expression to obtain a multi-level realizationis necessary.Example: Realize f(a,b,c,d) =S m(0,3,4,5,8,910,14,15)using three-input NOR gates.Soln.: -must use three-input NOR gates so factorexpression for f’ and complementDesign of Networks with Limited Gate Fan-inWhen designing multiple-output networks with more than two levels,it is usually best to minimize each function separately. -- resultingtwo-level expressions are factored to increase number of levels -- factoring should be done in a way that introduces common terms.Example: Realize the given functions using only two-input NAND gatesand inverters.Soln.: -functions to be realized and k-maps are shownDesign of Networks with Limited Gate Fan-inExample(cont’d): Realize the given functions using onlytwo-input NAND gates and inverters.Soln.(cont’d):If we minimize each function separately the result isFactoring to reduce no. of gate inputs (while increasing no. of levels)Expression has common term -- preferred- common terms are underlined in the above expressions-the remaining 3-input gate in the f3 expression for can be eliminated usingDesign of Networks with Limited Gate Fan-inExample(cont’d): Realize the given functions using onlytwo-input NAND gates and inverters.Soln.(cont’d):Realization converted to NANDformRealization
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