For the small signal $$BJT$$ amplifier shown in given figure. Determine at $$1$$ $$kHz$$ the following

$$(a)$$ $$\,\,\,\,\,\,\,\,$$ Quiescent collector current $${{\rm I}_{CQ}}$$
$$(b)$$ $$\,\,\,\,\,\,\,\,$$ Small signal voltage gain $${{{V_o}} \over {{V_i}}}$$
$$(c)$$ $$\,\,\,\,\,\,\,\,$$ Max. possible swing of the collector current.

The function corresponding to the Bode plot of Figure, is

For a flip-flop formed from two $$NAND$$ gates as shown in figure. The unusable state corresponds to

The logic function $$f = \overline {\left( {x.\overline y } \right) + \left( {\overline x .y} \right)} $$ is the same as