Consider the following circuit which uses a $$2$$-to-$$1$$ multiplexer as shown in the figure below. The Boolean expression for output $$F$$ in terms of $$A$$ and $$B$$ is

The current state $${Q_A}{Q_B}$$ of a two $$JK$$ flip-flop system is $$00.$$ Assume that the clock rise-time is much smaller than the delay of the $$JK$$ flip-flop. The next state of the system is

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

In the portion of a circuit shown, if the heat generated in 5 Ω resistance is 10 calories per second then heat generated by the 4 Ω resistance, the calories per second, is ______.