Q$1.(9$ points$)$ Complete the following table. You may only use calculators in decimal mode for this problem. No binary$/$octal$/$hex mode calculators allowed. Show steps for your conversions. Q$2.(6$ points$)$ Using only NOR gates, show how AND, OR$,$ and NAND gates can be made. $($NOR gates are sufficient for combinatorial logic. All other gates can be made from only NOR gates. NAND gates are also sufficient.$)$ Q$3.(3$ points$)($A$)$ Write out the truth table for the gate shown, assuming the same positive logic standard we used in class. The resistors are all $\backslash (10\backslash$mathrm$\{$k$\}\backslash$Omega $\backslash )$ resistors, although a wide range of values would give the same results. $($B$)$ What type of gate is this? Q$4.(3$ points$)$ The And$-$Or$-$Invert, or AOI gate, is shown above. Write out its truth table. Q$5.(3$ points$)$ The circuit shown can be represented by a single logic gate that we have covered in class. Find what gate is the equivalent by either

$1.$ writing out the truth table for this circuit and identify that it is identical to the truth table for a known logic gate.

$2.$ Or using bubble pushing.

You only have to solve the problem by one of these methods.