GATE EC

The negative edge triggered JK flip-flop in the Figure has J and K inputs tied to Logic High and a square wave of 10 cycles/second is applied to its clock (C) input. The frequency...

The continuous time signal x(t) is real, periodic with period T and satisfies the Dirichlet conditions. The Fourier series representation of x(t) = $\sum_{-\infty}^{\infty} a_n e^{...

The 12 musical notes are given as C, C#, D, D#, E, F, F#, G, G#, A, A#, and B. Frequency of each note is $\sqrt[12]{2}$ times the frequency of the previous note. If the frequency o...

The general form of the complementary function of a differential equation is given by y(t) = (At+B)e^(-2t), where A and B are real constants determined by the initial condition. Th...

Let w⁴ = 16j. Which of the following cannot be a value of w?

The value of the contour integral, $\oint_C \left(\frac{z+2}{z^2+2z+2}\right) dz$, where the contour C is $\{z: |z + 1 - \frac{3}{2}j| = 1\}$, taken in the counter clockwise direct...

In the following block diagram, R(s) and D(s) are two inputs. The output Y(s) is expressed as Y(s) = G₁(s)R(s) + G₂(s)D(s). G₁(s) and G₂(s) are given by