GATE EC 2015 Question Paper (31-Jan-2015) (Shift 1)

Consider a four bit D to A converter. The analog value corresponding to digital signals of values 0000 and 0001 are 0.V and 0.625 V respectively. The analog value (in Volts) corresponding to the digital signal 1111 is_________ .

The result of the convolution $\mathrm{x}\left(-\mathrm{t}\right)\ast \delta \left(-\mathrm{t}-{\mathrm{t}}_0\right)$ is

The waveform of a periodic signal $\mathrm{x}\left(\mathrm{t}\right)$ is shown in the figure.



A signal g(t) is defined by $\mathrm{g}\left(\mathrm{t}\right)=\mathrm{x}\left(\frac{\mathrm{t}-1}{2}\right)$. The average power of $\mathrm{g}\left(\mathrm{t}\right)$ is __________.

Negative feedback in a closed-loop control system does not

A unity negative feedback system has the open – loop transfer function $\mathrm{G}\left(\mathrm{s}\right)=\frac{\mathrm{k}}{\mathrm{s}\left(\mathrm{s}+1\right)\left(\mathrm{s}+3\right)}$. The value of the gain $\mathrm{K}(>0)$ at which the root locus crosses the imaginary axis is _________.