Processing circuitry may support processing of anchor-data values comprising one or more anchored-data elements which represent portions of bits of a two's complement number. The anchored-data processing may depend on anchor information indicating at least one property indicative of a numeric range representable by the result anchored-data element or the anchored-data value. When the operation causes an overflow or an underflow, usage information may be stored indicating a cause of the overflow or underflow and/or an indication of how to update the anchor information and/or number of elements in the anchored-data value to prevent the overflow or underflow. This can support dynamic range adjustment in software algorithms which involve anchored-data processing.