simplification

The digital circuit shown has 3 inputs (x, y, and z). The simplified logical expression for the output (OUT) is:

What is the value of $(\frac{3^{81}}{3^{74}})^{\frac{1}{3}}$ ?

A Boolean function is given as $f = (\bar{u} + \bar{v} + \bar{w} + x). (\bar{u} + \bar{v} + w + x). (\bar{u} + v + \bar{w} + x). (\bar{u} + v + w + x)$ The simplified form of this...

A Boolean function is given as $$ f=(\bar{u}+\bar{v}+\bar{w}+\bar{x}) \cdot(\bar{u}+\bar{v}+\bar{w}+x) \cdot(\bar{u}+v+\bar{w}+\bar{x}) \cdot(\bar{u}+v+\bar{w}+x) $$ The simplified...

Simplified form of the Boolean function $F(P,Q,R,S) = \overline{P}\overline{Q} + \overline{P}QS + \overline{P}Q\overline{R}\overline{S} + P\overline{Q}\overline{R}\overline{S}$ is

The Boolean expression AB + AC + BC simplifies to

Digital input signals A, B, C with A as the MSB and C as the LSB are used to realize the Boolean function $F = m_0 + m_2 + m_3 + m_5 + m_7$, where $m_i$ denotes the $i^{th}$ minter...

The Boolean expression $$AB + A\overline C + BC$$ simplifies to

The Boolean expression $$X\overline Y Z + XYZ + \overline X Y\overline Z + \overline X \overline Y Z + XY\overline Z $$ can be simplified to