What is a self complementing binary code?

A self-complementing binary code is a type of binary code in which the complement of a code Word can be derived from the code Word itself by simply inverting its bits. In this code, the representation of a number and its complement share a specific relationship, such that if you take a code Word and flip all its bits, you get the code for its complement. This feature simplifies certain operations in digital systems, particularly in arithmetic and logic circuits. An example of a self-complementing code is the 4-bit binary-coded decimal (BCD) where the codes for the digits 0-9 are designed to facilitate easy complementing.