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this is the fourth in a series of videos about binary Im going to talk about how we can represent real numbers using floating-point binary notation most modern computers use floating-point binary to represent real numbers why because floating-point binary makes particularly efficient use of a computer register when it comes to representing either extremely large values extremely small values or values that require a high degree of precision floating point binary is similar to standard scientific notation in base 10 its worth getting to know this first here are some special values in scientific notation you might recognize some of these if you study science this is the speed of light in a vacuum measured in meters per second this is Avogadros number its also called a mole its the number of particles youll have if you measure out the molecular weight of a substance in grams suffice to say its a very large value this is known as the elementary charge its the electrical charge of