Gear & technology

R2R/ladder DAC

Also called R2R, ladder DAC, multibit DAC, resistor ladder

An R2R, or resistor ladder, DAC converts each sample directly through a network of precisely matched resistors, one step per bit. It was the original way to build a DAC and has returned as a boutique alternative to delta-sigma chips.

RRR2R2R11/2MSB2R01/42R11/82R11/16LSBoutput = 11/16 of Vref1 = switched to Vref, 0 = switched to ground
In a 4-bit R-2R ladder each bit switches its 2R resistor to the reference voltage or to ground, and the ladder weights the bits 1/2, 1/4, 1/8 and 1/16, so the sample 1011 gives 11/16 of the reference voltage at the output.

Each bit switches its leg of the ladder between the reference voltage and ground, and the ladder weights each bit by half the one before, so the output voltage is the binary-weighted sum. The approach is simple in concept and hard in practice: the resistors must match to a few parts per million, which is why discrete R2R DACs from makers such as Denafrips and Holo Audio cost more than delta-sigma designs.

Supporters describe a more natural, less "digital" sound, especially when the DAC skips oversampling and filtering, a mode called NOS. Measurements usually show higher distortion and noise than a good delta-sigma design, so the debate is a clear case of preference against figures. Listeners disagree.

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