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Shouldn't be difficult. I did one back in 1979 at Chessell Recorders.
It was good to 14-bits, once we got hold of a polypropylene part for the in tegrating capacitor. Of course it was quad-slope, rather than dual slope.
The bit I was pleased with was the output isolating transformer, which was just a ferrite toroid, held down on the board by six U-shaped bits of insul ated wire, which were the windings (plus some printed circuit track). It ha d very little inductance, but produced a big enough (and sufficiently long sustained) inductive spike to switch half an LM393 through the couple of mV hysteresis I'd designed in - more than the worst case input offset voltage ).
We did have a separate isolated power supply for the floating analog bits.