The number of bits in a binary PCM system is increased from n to n+1. As a result, the signal to quantization noise ratio will improve by a factor

A system having an open loop transfer function $$G\left(s\right)=\frac{K\left(s+3\right)}{s\left(s^2+2s+2\right)}$$ is used in a control system with unity negative feedback. Using the Routh-Hurwitz criterion, find the range of values of 'K' for which the feedback system is stable.

Obtain a state space representation in diagonal form for the following system $$${{{d^3}y} \over {d{t^3}}} + 6{{{d^2}y} \over {d{t^2}}} + 11{{dy} \over {dt}} + 6y = 6u\left( t \right)$$$

Its is desired to generate the following three Boolean functions. $$\eqalign{ & {F_1} = a\,\overline b \,c + \overline a \,b\overline c + bc \cr & {F_2} = \,a\,\overline b \,c + ab + \overline a \,b\overline c \cr & {F_3} = \,\overline a \,\overline b \,\overline c + abc + \overline a c \cr} $$

By using an OR gate array as shown in figure where $${P_{1\,}}\,to\,{P_5}$$ are the product terms in one or more of the variables a, $$\overline a $$, b, $$\,\overline b $$, c and $$\overline c $$.