I assume you are referring to endianness. The main advantage of little endian is if you have an 8 bit ALU and memory you can process multi byte data by starting with the LSB at the low address and then incrementing the address a byte at a time up to the MSB at the high address. That was the way to minimize hardware on early microprocessors. When you have memory and ALU widths that match larger data types it becomes a moot point. But by that time the damage was done.
There are other solutions. The early IBM System/3 had 8 bit memory access and ALU. The data was still represented as big endian as on other IBM systems. The instructions included the data length (up to a 256 byte operation). What they did was address the highest address (LSB) of the data and then decrement the address to fetch subsequent bytes, ending at the MSB at the low address.
Way more than you wanted to know?