A multiplexer is placed between a group of 32 registers and an accumulator to regulate data movement such that at any given point in time the content of only one register will move to the accumulator. The minimum number of select lines needed for the multiplexer is _____.

If there are m input lines and n output lines for a decoder that is used to uniquely address a byte addressable 1 KB RAM, then the minimum value of m + n is ____.

In the following truth table $$V=1$$ if and only if the input is valid.

What function does the truth table represent?

The Boolean expression for the output $$f$$ of the multiplexer shown below is