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F = AB + C\' This is what I did and I am wondering if its the correct way of doi

ID: 3542241 • Letter: F

Question

F = AB + C'


This is what I did and I am wondering if its the correct way of doing it...


First I created a truth table:


A        B        C'        F          

0        1        0         0

0        1        1         1

0        0        0         0

0        0        1         1

1        1        0         1

1        1        1         1

1        0        0         0

1        0        1         1


Then for all the values where F = 1 I wrote them in the sum of minterm format:


(A'BC') + (A'B'C') + (ABC) + (ABC') + (AB'C')      SUM OF MINTERMS



Then for the product of maxterms, I took all the values where F = 0

(A' + B + C) * (A' + B' + C) * (A + B' + C)               PRODUCT OF MAXTERMS




Is this correct?


Explanation / Answer

please rate - thanks


you did it correctly-however your truth table should show C and not C'

and is generally in numerical order


F = AB + C'



A B C     F

0 0 0      1

0 0 1      0

0 1 0      1

0 1 1      0

1 0 0      1

1 0 1      0

1 1 0      1

1 1 1      1