The minimum number of 2 to 1 multiplexers required to realize a 4 to 1 mutliplexer is

A Boolean function 'f' of two variables x and y is defined as follows: f(0,0)=f(0,1)=f(1,1)=1;f(1,0)=0 Assuming complements of x and y are not available, a minimum cost solution for realizing F using only 2-input NOR gates and 2-input OR gates (each having unit cost) would have a total cost

The Boolean expression AC + B$$\overline C $$ is equivalent to

Consider an impedance Z = R + jX marked with point P in an impedance Smith chart as shown in Fig. The movement from point P along a constant resistance circle in the clockwise direction by an angle $${45^ \circ }$$ is equivalent to