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Boolean-Logic-OperationsIn the previous tutorial, boolean arithmetic was introduced. It was shown that how binary numbers can be added, subtracted, multiplied and divided. In this tutorial, now logic operations on binary numbers will be discussed. The logic operations are not only the way to implement arithmetic operations (by means of combinational circuits), they form the building blocks of the digital circuits. A digital circuit is built by logic gates where the logic gates perform one or the other boolean logic operation.

 

Binary-Arithmetic-SummaryIn the previous tutorial, it was discussed that how any information can be represented by numbers and a set of numbers (code systems)can be used to store and manipulate information. A lot of real-world information is mathematical in nature like count of things, measurements of quantities etc. Such information may further have mathematical relationships. In order for a computer (digital circuit) to perform computing (mathematical operations) on such information, it must be first able to perform arithmetic operations. The arithmetic operations are the basic mathematical operations. Only by performing arithmetic operations, other algebraic operations can be performed on numerical data. 

Digital ElectronicsThe electronics too have no different way to represent, maintain and analyze information. Any information can be either discrete like names of things, events and properties or can be continuous which then require measurement by comparison to a standard unit, quantification and representation in numbers. The very foundation of science i.e. organized knowledge about understanding of nature and natural phenomena, is based on language and mathematics. Any branch of science involves identification of entities, their attributes, associated events and mathematical analysis of those attributes and events.