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Is Y' + Z' same as (YZ)' ?

Please explain this concept of compliments..!!
in Digital Logic 156 views
1
1
Thanks 😊

3 Answers

3 votes
Yes they are the same. This is due to De Morgan's Law.
2 votes
Y Z Y' + Z' (YZ)'
0 0 (1 + 1) = 1 (0.0)' = (0)' = 1
0 1 (1 + 0) = 1 (0.1)' = (0)' = 1
1 0 (0 + 1) = 1 (1.0)' = (0)' = 1
1 1 (0 + 0) = 0 (1.1)' = (1)' = 0

The result is due to de Morgan's law, but you can confirm it for yourself using a truth table.

0
Oh yeah ! thanks for the better idea πŸ‘
0
Thanks for the idea
0 votes
Yes,this is true due to De'morgans law

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