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Opposites of hackneyed are new, fresh, original...
The opposite of tired (fatigued) would be energetic or enthusastic. The opposite of tired (starting the day) would be "rested." The opposite of tired (old, hackneyed) would be fresh, or innovative.
You convert an (infix) expression into a postfix expression as part of the process of generating code to evaluate that expression.
it is an expression
A more complicated expression.