SORN Arithmetic is a low-complexity and low-precision digital number format based on intervals that can be useful for preprocessing large datasets. Since the interval width of a SORN result is likely to grow with the number of operations, the concept of fused SORN operations is proposed. Functions with more than one operation are evaluated without intermediate quantization, reducing spurious interval growth (the “dependency problem”) and increasing the resulting precision. The presented evaluations for basic and complex fused functions show a reduction of the output interval widths of up to 53%. In addition, introducing fused SORN operations also leads to significant hardware reductions in area, power consumption and path delay. Compared to the non-fused designs, reductions of the Area-Power-Timing-product of up to 88% can be achieved.