In the following digital circuit, what will be the output at 'Z',

Question:

In the following digital circuit, what will be the output at 'Z', when the input (A,B) are $(1,0)$, $(0,0),(1,1),(0,1):$

 

  1. $1,0,1,1$

  2. $0,1,0,0$

  3. $0,0,1,0$

  4. $1,1,0,1$


Correct Option: , 3

Solution:

$Z=(\overline{P+R})$

$Z=(\overline{P+P Q})$

$Z=(\overline{P(1+Q)})$

$Z=(\bar{P})$ [Using Identity $(1+A)=1$ ]

$Z=\overline{(\overline{\mathrm{AB}})}$

$Z=\overline{\mathrm{AB}}$

Truth table for $\mathrm{Z}=\mathrm{AB}$

 

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