Skip to main content
Chemistry LibreTexts

Prior Arguments

Our prior points were:

  • V = V0(1 - exp-t/RC)
  • ln[(V-V0)/V0] = -t/RC
  • C ∝ number of comparator inputs
  • Required (V-V0)/V0 = 1/2number of bits
  • tconversion, minimum = (number of bits) * ln(2) * RC = (number of bits)2 * ln(2) * R * Ccomparator input
  • fconversion, maximum = 1/tconversion, minimum