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 $$${{{d^3}y} \over {d{t^3}}} + 6{{{d^2}y} \over {d{t^2}}} + 11{{dy} \over {dt}} + 6y = 6u\left( t \right)$$$

Given the Boolean function F in three variables R, S and T as F=$$\,\overline R \,S\overline T + R\overline {S\,} T + RST$$

(a) Express F in the minimum sum-of-products from.
(b) Express F in the minimum product-of-sums from.
(c) Assuming that both true and complement froms of the input variables are avialable, draw a cicruit to implement F using the minimum number of 2input NAND gates only.