CS137-lecture-20210211

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  • A Karnaugh map is a graphical representation of a logic function. The map for \(n\) -input logic function is an array with \(2^n\) cells, (one for each possible input combination).
  • To represent a logic function in a k-map, we copy the 1s from the truth table to the corresponding cells.
  • Implicants are squares or rectangles made up of minterms
  • Pairs of adjacent 1 cells in the k-map have minterms that differ in ONLY 1 variable
  • The minterm pairs can be combined into a single product term using the generalization of theorem T10:
    • T10) = term
  • Thus, we can use k-maps to simplify the sum of the function.