A data processing system 2 includes a processor core 4 and a memory 6. The processor core 4 includes processing circuitry 12, 14, 16, 18, 26 controlled by control signals generated by decoder circuitry 24 which decodes program instructions. The program instructions include mixed operand size instructions (either load/store instructions or arithmetic instructions) which have a first input operand of a first operand size and a second input operand of a second input operand size where the second operand size is smaller than the first operand size. The processing performed first converts the second operand so as to have the first operand size. The processing then generates a third operand using as inputs the first operand of the first operand size and the second operand now converted to have the first operand size.