A $$2$$-bit flash Analog to Digital Converter $$(ADC)$$ is given below. The input is $$0 \le {V_N} \le 3$$ Volts. The expression for the $$LSB$$ of the output $${B_0}$$ as Boolean function of $${X_2},\,{X_1}$$ and $${X_0}$$ is

R_A and R_B are the input resistances of circuits as shown below. The circuits extend infinitely in the direction shown. Which one of the following statements is TRUE?

In the circuit shown below, the node voltage V_A is _________ V.

In the circuit shown, switch S₂ has been closed for a long time. A time t = 0 switch S₁ is closed. At t=0⁺ , the rate of change of current through the inductor, in amperes per second, is _______.