mohaxxtyereal22 mohaxxtyereal22

Today at 8:48 AM
Computers and Technology

Answered

Which of these is logically equivalent to x OR y?
NOT (x AND y)
NOT (NOT X AND NOT y)
O NOT X AND NOT Y
(x AND NOT Y) OR (NOT x AND y)

Can someone who actually knows plsssss reply now plsss help

Answer :

Today at 8:52 AM

Answer:

NOT (NOT x AND NOT y)

Explanation:

This is DeMorgan's theorem. Look that up for more details.

[tex]{\displaystyle {\overline {A\cdot B}}={\overline {A}}+{\overline {B}}} \newline \newline{\displaystyle {\overline {A+B}}={\overline {A}}\cdot {\overline {B}}}[/tex]

So

[tex]{A + B}=\overline{{\overline {A}}\cdot{\overline {B}}}}[/tex]

You can also compare them by creating a truth table.

[tex]\begin{tabular}{ c | c | c } x & y & x OR y \\ 0 & 0 & 0 \\ 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 1 \\\end{tabular}[/tex]

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