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Binary 5 – Floating Point Range versus Precision

This is the fifth in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. In particular, this video elaborates on the representation of real numbers using floating point binary notation. It explains how the relative allocation of bits between the mantissa and the exponent in a fixed size register can impact on the range and precision of the values that can be represented. It also draws a distinction between precision and accuracy, and points out some of the limitations of floating point binary. The video also mentions the importance of an awareness among programmers of how floating point binary works, including a demonstration of the kind of error that can occur when using single and double data types in a simple Visual Basic.NET program.