In the following truth table, V = 1 if and only if the input is valid. What…

Correct. This truth table defines a priority encoder: X0 and X1 form a two-bit binary code identifying which input line is asserted, and V=1 indicates a valid input. The don't-care entries show priority behavior (higher-numbered inputs override lower ones): D3 → X0X1 = 1 1; if D3=0 and D2=1 → 1 0; if D3=D2=0 and D1=1 → 0 1; if only D0=1 → 0 0.