In a digital Cartesian modulation transmitter, an encoder generates 1-bit logic signals from in-phase and quadrature signals. A single bit digital modulator multiplexes the 1-bit logic signals for Cartesian I/Q modulation. A digital upconverter (DUC) upconverts the multiplexed 1-bit logic signal. A digital power amplifier (DPA) generates a radio frequency (RF) signal based on the upconverted signal. In a digital polar modulation transmitter, an encoder converts a magnitude signal to a first 1-bit logic signal. A digital phase modulator modulates a carrier using a phase signal to generate a second 1-bit logic signal. A DUC upconverts the second 1-bit logic signal. A first-in first-out (FIFO) memory stores the first 1-bit logic signal. A combiner combines angle information contained in the second 1-bit logic signal with magnitude information contained in the first 1-bit logic signal stored in the FIFO memory. A DPA generates an RF signal based on the combined signal.