An apparatus comprising: processing circuitry to perform data processing; and an instruction decoder to control the processing circuitry to perform an anchored-data processing operation to generate an anchored-data element; in which: an encoding of the anchored-data element represents a portion of bits of a two's complement number, said portion of bits corresponding to a given range of significance for the anchored-data element defined by anchor metadata; and the anchored-data element has a further encoding including type information indicative of whether the anchored-data element represents: said portion of bits of a two's complement number; or a special value other than said portion of bits of a two's complement number; the type information specifies whether the special value is positive infinity, negative infinity, Not-a-Number, or a saturated type of anchored-data element; the processing circuitry is configured to set the type information to indicate the saturated type of anchored-data element when the anchored-data element is dependent on a previous anchored-data processing operation which caused a corresponding anchored-data element to overflow due to inappropriate setting of the range of significance indicated by the anchor metadata; and the processing circuitry is configured to store the type information, including an indication of whether the anchored-data-element represents the saturated type of anchored-data element, in the same register as the anchored-data element. processing circuitry to perform data processing; and an instruction decoder to control the processing circuitry to perform an anchored-data processing operation to generate an anchored-data element; in which: an encoding of the anchored-data element represents a portion of bits of a two's complement number, said portion of bits corresponding to a given range of significance for the anchored-data element defined by anchor metadata; and the anchored-data element has a further encoding including type information indicative of whether the anchored-data element represents: said portion of bits of a two's complement number; or a special value other than said portion of bits of a two's complement number; the type information specifies whether the special value is positive infinity, negative infinity, Not-a-Number, or a saturated type of anchored-data element; the processing circuitry is configured to set the type information to indicate the saturated type of anchored-data element when the anchored-data element is dependent on a previous anchored-data processing operation which caused a corresponding anchored-data element to overflow due to inappropriate setting of the range of significance indicated by the anchor metadata; and the processing circuitry is configured to store the type information, including an indication of whether the anchored-data-element represents the saturated type of anchored-data element, in the same register as the anchored-data element. an encoding of the anchored-data element represents a portion of bits of a two's complement number, said portion of bits corresponding to a given range of significance for the anchored-data element defined by anchor metadata; and the anchored-data element has a further encoding including type information indicative of whether the anchored-data element represents: said portion of bits of a two's complement number; or a special value other than said portion of bits of a two's complement number; said portion of bits of a two's complement number; or a special value other than said portion of bits of a two's complement number; the type information specifies whether the special value is positive infinity, negative infinity, Not-a-Number, or a saturated type of anchored-data element; the processing circuitry is configured to set the type information to indicate the saturated type of anchored-data element when the anchored-data element is dependent on a previous anchored-data processing operation which caused a corresponding anchored-data element to overflow due to inappropriate setting of the range of significance indicated by the anchor metadata; and the processing circuitry is configured to store the type information, including an indication of whether the anchored-data-element represents the saturated type of anchored-data element, in the same register as the anchored-data element.