Question
Download Solution PDFWhat is the minimum number of 2-input NOR gates required to implement a 4-variable function expressed in sum of-min-terms form as f = ∑(0, 2, 5, 7, 8, 10, 13, 15)?
Assume that all the inputs and their complements are available.Answer (Detailed Solution Below) 3
Detailed Solution
Download Solution PDFLet us assume that A, B, C, and D are the 4 variables.
K- map for given function:
f(A, B, C, D) = BD + B̅ D̅
Implementing the above function by using XOR gates with complements of variables:
\(f\left( {A,\;B,\;C,\;D} \right) = \overline {\overline {B + \bar D} + \overline {\bar B + D} }\)
\(f\left( {A,\;B,\;C,\;D} \right) = \left( {B + \bar D} \right).\left( {\bar B + D} \right)\)
f(A, B, C, D) = BD + B̅ D̅
Therefore, the minimum number of 2-input NOR gates needed to implement the function is 3.Last updated on Jan 8, 2025
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