For a $$3$$ -input logic circuit shown below, the output $$Z$$ can be expressed as

For the synchronous sequential circuit shown below, the output $$Z$$ is zero for the initial conditions $${Q_A}{Q_B}{Q_C} = Q{'_A}Q{'_B}Q{'_C} = 100.$$

The minimum number if clock cycles after which the output $$Z$$ would again become zero is _____________.

The initial charge in the 1 F capacitor present in the circuit shown is zero. The energy in joules transferred from the DC source until steady state condition is reached equals ______. (Give the answer up to one decimal place.)

The mean square value of the given periodic waveform f(t) is_________.