Q.Digital signals

Checking each statement:

• (i) Do not provide a continuous set of values — True. Unlike an analog signal, a digital signal takes only a finite (discrete) set of values.
• (ii) Represent values as discrete steps — True. This is the defining property of digitisation — continuous amplitude is quantised into discrete levels/steps.
• (iii) Can utilize [a] binary system — True. Digital electronics represents these discrete steps using binary digits (0 and 1), the standard basis for digital signal processing and transmission.
• (iv) Can utilize decimal as well as binary systems — False. Practical digital signals and digital circuits are built on the binary number system (two discrete voltage levels), not decimal; decimal representation is not how digital hardware encodes signals.

So statements (i), (ii) and (iii) are true, but (iv) is not.

Digital signals are discrete-valued (i, ii) and are encoded in binary (iii); they are not represented in a decimal system in practical digital hardware, which rules out (iv).

• Assuming 'digital' just means 'not continuous' and missing that binary encoding specifically (not decimal) is the defining implementation.
• Picking option (d) by treating (iv) as a natural extension of (iii) rather than a separate, incorrect claim.
• Not recognising that (i) and (ii) are really restating the same discrete/quantised idea from two angles — both remain true.