A programmable gain amplifier comprising alternatively selectable parallel circuits in a front end and independently selectable serial amplification circuits in a back end. The front end may include, for example, a plurality of transconductors in parallel and each configured to generate a current proportional to a received voltage. A ratio of the generated current to the received voltage being different for each of the transconductors. The back end is configured to receive an output of a selected member of the parallel circuits and may include a plurality of current or voltage mode amplifiers in series. For example, the back end may include a plurality of current-mode gain stages and switches configured to control which of the current-mode gain stages are used to amplify the output of the front end. The programmable gain amplifier may be used between a signal receiver and an analog to digital converter.