Find the area of the square shown in the figure whose vertices are at $(0,0)$, $(1,1)$, $(2,0)$ and $(1,-1)$.
In the given op-amp circuit, the non-inverting terminal is grounded. The input voltage is 2 V applied through 1 k$\Omega$. The feedback resistor is 1 k$\Omega$. The output is connected to a 2 k$\Omega$ load to ground and also through a 2 k$\Omega$ resistor to the op-amp output. Find the output voltage $V_0$ and currents $I_1$, $I_0$, and $I_x$.
If \[ \log_{p^{1/2}} y \times \log_{y^{1/2}} p = 16, \] then find the value of the given expression.
In the given circuit, the non-inverting input of the op-amp is at 3 V. The op-amp drives the base of a transistor as shown. The emitter is connected to a 1 k$\Omega$ resistor to ground and the collector is connected to 12 V through a 2 k$\Omega$ resistor. Find the output current $I_o$ supplied by the op-amp.
In the given circuit, all resistors are 1 k$\Omega$. A 1 mA current source is connected between the top and bottom nodes. A 6 V source connects the midpoints of the two vertical branches as shown. Find the output voltage $V_0$.
The figure shows a 4-to-1 multiplexer. The inputs are connected as: $I_0 = 1$, $I_1 = 0$, $I_2 = 1$, $I_3 = y$. The select lines are $S_1 = x$ and $S_0 = z$. Find the Boolean function $f(x,y,z)$.
mod-64 ripple counter can be designed using
Find $P_1 + P_2 + \dots + P_{10}$ if $P_k$ is the perimeter of a square having side length $k$.
Given an open-loop transfer function \(GH = \frac{100}{s}(s+100)\) for a unity feedback system with a unit step input \(r(t)=u(t)\), determine the rise time \(t_r\).
