Self doubt DIGITAL LOGIC

Question

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

Please explain this concept of compliments..!!

Comments

this should help..

https://circuitglobe.com/demorgans-theorem.html

---

Thanks 😊

Answer 1

Yes they are the same. This is due to De Morgan's Law.

Answer 2

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.

Comments

Oh yeah ! thanks for the better idea 👍

---

Thanks for the idea

Answer 3

Yes,this is true due to De'morgans law