$2..$ For the circuit given below

a$)(30$ pts $).$ Connect inputs $V_{\text{I}\text{N}\text{A}},V_{\text{I}\text{N}\text{B}}$ to $5$ Volt. Then find voltage transfer characteristics $($VTC$)$ Vout versus VINC. Do your theoretical analysis considering the truth table of the circuit and also with LTspice or PSpice simulations.

b$)(20$ pts$).$ Apply some suitable time waveforms to inputs to prove its logical function. $($ Use LTspice or PSpice for your analysis.$)$

$($Choose the value of $R_B$ specific to your student ID number. Two rightmost digits of your ID to be added to $2\mathrm{.}8k.$ For example if your ID is $20070005037$ your resistors values will be $2837.)$