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Find the complement of X + YZ; then show that F.F’=0 and F + F’ = 1
in Digital Logic by Boss (10.5k points) | 24 views

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Given expression$=X+YZ$

Complement of that expression $=\overline{X+YZ}=\overline{X}\cdot\overline{YZ}=\overline{X}\cdot(\overline{Y}+\overline{Z})$

                                                         $=\overline{X}\cdot\overline{Y}+\overline{X}\cdot\overline{Z}$

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Show that ${\color{Red}{F\cdot\overline{F}=0} }$ and ${\color{Magenta} {F+\overline{F}=1}}$

Lets make truth table for clear understanding

$F$ $\overline{F}$ $F\cdot \overline{F}$
0 1 0
1 0 0

and 

$F$ $\overline{F}$ $F+\overline{F}$
0 1 1
1 0 1
by Veteran (54.7k points)
0 votes

we can also do this using truth table

by Boss (35.6k points)

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