A system and method is disclosed for a digital to analog converter which includes an interpolation filter to up-sample a digital signal, a noise shaping modulator to suppress in-band quantization errors due to digital pulse width modulation and truncation errors, and a hybrid finite impulse response filter/digital to analog converter coupled to a reconstruction filter which outputs the analog signal. The hybrid finite impulse response filter/digital to analog converter uses N-taps implemented digitally and N-tap weights implemented in analog using switched capacitors.