Determining an effective address of a memory with a three-operand add operation in single execution cycle of a multithreaded processor that can access both segmented memory and non-segmented memory. During that cycle, the processor determines whether a memory segment base is zero. If the segment base is zero, the processor can access a memory location at the effective address without adding the segment base. If the segment base is not zero, such as when executing legacy code, the processor consumes another cycle to add the segment base to the effective address. Similarly, the processor consumes another cycle if the effective address or the linear address is misaligned. An integer execution unit that performs the three-operand add using a carry-save adder coupled to a carry look-ahead adder. If the segment base is not zero, the effective address is fed back through the integer execution unit to add the segment base.