Devise a method to complete the following synthesis. 
Definitions:
Binary Digits
Binary digits, known as bits, are the most basic unit of data in computing and digital communications, representing two possible states: 0 and 1.
Decimal Number
A number expressed in the base-10 numbering system, which includes the digits 0 through 9.
LIM Instruction
In ladder logic programming, a "Limit Test" instruction used to compare if a given value falls within a specific range.
Memory Locations
Specific addresses in a computer's or device's memory where data or instructions are stored and accessed.
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