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Minimisation using Boolean algebra is not always straight forward and sometimes it is not obvious if a further manipulation would give a simpler circuit.
Karnaugh maps are a much easier method for minimising expressions.
K-maps are a special type of Venn diagram.
K-maps are subdivided into squares and each square represents one minterm.
2 variable K-maps
2-variable K-maps have 4 squares - each representing one of four possible minterms. e.g. for inputs A and B;
One variable is always in inverted or non-inverted form for each row or column. Not Aidentifies the left hand column and A the right.Not B identifies the top row and B the bottom row.
Any horizontal or vertical movement between adjacent squares on the K-map MUST result in a change of only one variable in the associated minterms. The following is NOT a K-map.
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One Erlang is equal to (A) 3600 CCS (B) 36 CCS (C) 60 CCS (D) 24 CCS Ans: One Erlang is equivalent to 3600 CCS.
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Universal Elimination: Here for any sentence, there is A, containing a universally quantified variable, v, just for any ground term, g, so we can substitute g for v in A. Thus
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