For the circuit given below a$)(30$ pts$).$ Connect inputs VINA $,$ VINB 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 RB specific to your student ID number. Two rightmost digits of your ID to be added to $2\mathrm{.}8$ k$.$ For example if your ID is $20070005069$ your resistors values will be $2869.)$ FIGURE P$10\mathrm{.}2554$H$11/74$H$11$ HTTL Three$-$input AND Gate