Explanation For k-map of given truth table construct the k-map and place 1 ' s in those cells corresponding to the 1 ' s in the truth table. Place 0 ' s in the other cells. Examine the map for the adjacent 1 ' s and loop those 1 ' s which are not adjacent to any other 1 ' s . These are called isolated 1 ' s . Next, look for those 1 ' s which are adjacent only one other . Loop any pair containing such a 1. Loop any octet even it contains some 1 ' s that have already been looped. Loop any quad that contains one or more 1 ' s which have not already been looped, making sure to use the minimum number of loops. Loop any pairs necessary to include any 1 ' s that have not yet been looped ,making sure to use the minimum number of loops. Form the OR sum of all the terms generated by each loop. Each cell in the grid shown corresponds to a row of the truth table, with the rows of the grid corresponding to ( w ′ ∧ x ′ ) , ( w ′ ∧ x ) , ( w ∧ x ) , ( w ∧ x ′ ) the columns to y ′ ∧ z ′ , y ′ ∧ z , y ∧ z , y ∧ z ′ . 1 in cell tells us that there is a 1 in the output column of this row. There are either a 0 or 1 in each cell. According to truth table, the K-map is shown below: According to K-map the Boolean expression can express with help of circled cells. If variable and its component both are coming in loop of the cell in the Karnaugh graph, then its variable are ignored, and other common variable write in the minterms form

5th Edition

ISBN: 9780134689562

Author: Dossey, John A.

Publisher: Pearson,

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Chapter 10.3, Problem 23E

To determine

The Boolean expression of the given truth table by Karnaugh map method and draw the circuit of simplified Boolean expression.

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Chapter 10.3, Problem 22E

Chapter 10.3, Problem 24E

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Discrete Mathematics

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