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Halving the clock frequency doubles that task's duration. Its energy per execution then becomes

  • A.about the same, the power having halved and the time doubled
  • B.half of its former value, the reduced power carrying straight through
  • C.twice its former value
  • D.a quarter of its former value

Answer: A

Correct answer: about the same, the power having halved and the time doubled

Dynamic energy per operation is \( CV^{2} \) per transition and does not depend on frequency, so halving the clock halves the power and doubles the time, leaving the energy essentially unchanged. Slowing down therefore saves nothing by itself - and can cost, since leakage is paid for twice as long. What saves energy is lowering the *voltage*, which the reduced frequency may permit.

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