Digital Techniques Diploma (Poly) 3rd semester
Introduction of K-Map (Karnaugh Map) Part 2
5 variable K-Map in Digital Logic Karnaugh Map or K-Map is an alternative way to write truth table and is used for the simplification of Boolean Expressions. So far we are familiar with 3 variable K-Map & 4 variable K-Map. Now, let us discuss the 5-variable K-Map in detail. Any Boolean Expression or Function comprising of 5 variables can be solved using the 5 variable K-Map. Such a 5 variable K-Map must contain = 32 cells . Let the 5-variable Boolean function be represented as : f ( P Q R S T) where P, Q, R, S, T are the variables and P is the most significant bit variable and T is the least significant bit variable. The structure of such a K-Map for SOP expression is given below : The cell no. written corresponding to each cell can be understood from the example described here: Here for variable P=0, we have Q = 0, R = 1, S = 1, T = 1 i.e. (PQRST)=(00111) . In decimal form, this is equivalent to 7 . So, for the cell shown above the corresponding cell no. = 7. In a similar
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