In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic – do not vary smoothly in this way, but have distinct, separated values.
Binary refers to the "base 2" method of counting, in which only the digits 0 and 1 are used. Discrete mathematics is the branch of mathematics dealing with objects that can assume only distinct, separated values. Logic is the formal mathematical study of the methods, structure, and validity of mathematical deduction and proof.
Examples of structures that are discrete are combinations, graphs, and logical statements. Discrete structures can be finite or infinite. Discrete mathematics is in contrast to continuous mathematics, which deals with structures which can range in value over the real numbers, or have some non-separable quality.
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