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A pulse position modulated system uses a \( 10 \ \mathrm{\mu s} \) slot with a maximum displacement of \( \pm 2 \ \mathrm{\mu s} \). The fraction of the slot used for modulation is

  • A.20 per cent
  • B.80 per cent
  • C.10 per cent
  • D.40 per cent

Answer: D

The displacement spans four microseconds in total:

\[ \frac{2 \times 2}{10} = 0.4 \]

so 40 per cent, with the rest given to the pulse itself and to guard time. Twenty per cent counts only one direction of displacement, which is the commonest slip on this calculation. The remaining options double or quarter the result. A budget expressed as a fraction of the slot makes it obvious how much room is left for guard time.

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