GATE EC 2015 Question Paper (31-Jan-2015) (Shift 2)

A mod–n counter using a synchronous binary up–counter with synchronous clear input is shown in the figure. The value of n is_________.

Let the signal f(t) = 0 outside the interval [T₁, T₂], where T₁ and T₂ are finite. Furthermore, $\left|\mathrm{f}\left(\mathrm{t}\right)\right|<\infty$. The region of convergence (ROC) of the signal’s bilateral Laplace transform F(s) is

Two causal discrete-time signal x[n] and y[n] are related as $\mathrm{y}\left[\mathrm{n}\right]={\sum }_{\mathrm{m}=0}^{\mathrm{n}}\mathrm{x}\left[\mathrm{m}\right]$ It the z-transform of $\mathrm{y}\left[\mathrm{n}\right]\mathrm{is}\frac{2}{\mathrm{z}{\left(\mathrm{z}-1\right)}^2}$, the value of x[2] is ________.

By performing cascading and / or summing / differencing operations using transfer function blocks G₁ (s) and G₂(s), one CANNOT realize a transfer function of the form

For the signal flow Graph shown in the figure, the value of $\frac{\mathrm{C}\left(\mathrm{s}\right)}{\mathrm{R}\left(\mathrm{s}\right)}$ is