A pipelined run-to-completion processor executes a pop stack absolute instruction. The instruction includes an opcode, an absolute pointer value, a flag don't touch bit, and predicate bits. If a condition indicated by the predicate bits is not true, then the opcode operation is not performed. If the condition is true, then the stack of the processor is popped thereby generating an operand A. The absolute pointer value is used to identify a particular register of the stack, and the content of that particular register is an operand B. The arithmetic logic operation specified by the opcode is performed using operand A and operand B thereby generating a result, and the content of the particular register is replaced with the result. If the flag don't touch bit is set to a particular value, then the flag bits (carry flag and zero flag) are not affected by the instruction execution.