Obtain the Minimized Function of the next Karnaugh table F

Obtain the Minimized Function of the next Karnaugh table F = z\' + wx\'y + w\'x F = z + wx\'y + w\'x F = z\'+ wxy + w\'x z\'+ wx\'y + w\'x\'

Solution

Answer:

a) z\' + wx\'y +w\'x

Look at the 8 ones taken together....from left (top to bottom) , w changes to w\' to w and x changes from x to x\'. From columns , y changes from y to y\' but z\' remains the same , therefore z\' . Now take 4 1\'s together. In left side of it, w\'x remains the same but from the top y and z changes, therefore w\'x . Taking 2 1\'s together, left side wx\' remains as it is , but on the top side , z changes to z\' and y remains the same, therefore wx\'y.