A programmable gain amplifier includes an operational amplifier and a resistor network coupled to the output node of the operational amplifier. The resistor network includes a first plurality of resistors coupled in series between the output node and a first network node. A second plurality of resistors is coupled in series between the first network node and a second network node. A unit resistor is coupled in parallel with the second plurality of resistors between the first and second resistor network nodes and a third plurality of resistors is coupled in parallel between the second resistor network node and a reference voltage. Each resistor of the second and third pluralities of resistors comprises a unit resistor. The third plurality of resistors contains N resistors and the second plurality of resistors contains (N−1) resistors.