Spectrally-efficient digital logic (SEDL) techniques implement spectrally-efficient pulses (e.g., Gaussian-shaped pulses) in lieu of conventional square waveforms to improve electromagnetic, radio frequency, and other unwanted emissions. The SEDL techniques can be used for combinatorial or sequential logic elements and circuits. A SEDL circuit includes a multiplier circuit configured to receive a clock signal and provide a product of the input signal and a clock signal, an integrator circuit to integrate the product signal over a first portion of a clock period to determine the logic state of the input signal, a limit circuit configured to apply limits to a state result provided to the integrator circuit, and a pulse generator configured to receive the logic state from the limit circuit and provide and output signal having a Gaussian-shaped output pulse that represents that logic value corresponding to the logic value of the input signal.