Accuracy with which the genetic designs in Figure 2 approximate the intended operations.

<p>We quantify accuracy in terms of relative error—|<i>f</i>([<i>A_tot</i>],[<i>B_tot</i>])−[<i>Z</i>]|/<i>f</i>([<i>A_tot</i>],[<i>B_tot</i>]) for the arithmetic operations, and |<i>f</i>([<i>A_tot</i>],[<i>B_tot</i>])−[<i>Z</i>]|/<i>Z_on</i> for the comparison operations, where <i>f</i> is the operation being approximated. The second column in the table gives relative error in terms of the kinetic parameters. The third column gives the relative error in terms of the fraction of time the promoter spends bound by different combinations of transcription factors at steady state.