A data processing apparatus, method and computer program that perform an operation on one data element such as a register and then conditionally select either that register or a further register on which no operation has been performed. The apparatus comprises an instruction decoder configured to decode at least one conditional select instruction, said at least one conditional select instruction specifying a primary source register, a secondary source register, a destination register, a condition, and an operation to be performed on a data element from the secondary source register; a data processor configured to perform data processing operations controlled by the instruction decoder wherein: the data processor is responsive to the decoded at least one conditional select instruction and the condition having a predetermined outcome to perform the operation on the data element from the secondary source register to form a resultant data element and to store the resultant data element in the destination register; and the data processor is responsive to the decoded at least one conditional select instruction and the condition not having the predetermined outcome to form the resultant data element from the data element from the primary register and to store the resultant data element in the destination register.