As those of you familiar with this field should know, one method of figuring out a good optimization for logic gates is Karnaugh maps . . . ..
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Repeating this approach for each of the defined states produces a table of JK values, and the control circuit consists of logic found from eight separate Karnaugh maps.
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The row and column indices ( shown across the top, and down the left side of the Karnaugh map ) are ordered in Gray code rather than binary numerical order.
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After the Karnaugh map has been constructed, it is used to find one of the simplest possible forms a canonical form for the information in the truth table.
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This is done for the purposes of analysis / minimization and synthesis of formulas by use of the notion of " minterms " and Karnaugh maps ( see below ).
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In the example above, the four input variables can be combined in 16 different ways, so the truth table has 16 rows, and the Karnaugh map has 16 positions.
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Once the Karnaugh map has been constructed and the adjacent 1s linked by rectangular and square boxes, the algebraic minterms can be found by examining which variables stay the same within each box.
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Race hazards are very easy to spot using a Karnaugh map, because a race condition may exist when moving between any pair of adjacent, but disjoint, regions circumscribed on the map.
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"Logical machines 1870 Stanley Jevons'" logical abacus " and " logical machine " " : The technical problem was to reduce Boolean equations when presented in a form similar to what are now known as Karnaugh maps.
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In Veitch's method the variables are arranged in a rectangle or square; as described in Karnaugh map, Karnaugh in his method changed the order of the variables to correspond to what has become known as ( the vertices of ) a hypercube.
