EEE Standard 754 Floating Point NumbersThe IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point computation which was established in 1985 by the Institute of Electrical and Electronics Engineers (IEEE). The standard addressed many problems found in the diverse floating point implementations that made them difficult to use reliably and reduced their portability. IEEE Standard 754 floating point is the most common representation today for real numbers on computers, including Intel-based PC’s, Macs, and most Unix platforms.There are several ways to represent floating point number but IEEE 754 is the most efficient in most cases. IEEE 754 has 3 basic components:The Sign of Mantissa –This is as simple as the name. 0 represents a positive number while 1 represents a negative number.The Biased exponent –The exponent field needs to represent both positive and negative exponents. A bias is added to the actual exponent in order to get the stored exponent.The Normalised Mantisa –The mantissa is part of a number in scientific notation or a floating-point number, consisting of its significant digits. Here we have only 2 digits, i.e. O and 1. So a normalised mantissa is one with only one 1 to the left of the decimal.IEEE 754 numbers are divided into two based on the above three components: single precision and double precision.

Question

EEE Standard 754 Floating Point NumbersThe IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point computation which was established in 1985 by the Institute of Electrical and Electronics Engineers (IEEE). The standard addressed many problems found in the diverse floating point implementations that made them difficult to use reliably and reduced their portability. IEEE Standard 754 floating point is the most common representation today for real numbers on computers, including Intel-based PC’s, Macs, and most Unix platforms.There are several ways to represent floating point number but IEEE 754 is the most efficient in most cases. IEEE 754 has 3 basic components:The Sign of Mantissa –This is as simple as the name. 0 represents a positive number while 1 represents a negative number.The Biased exponent –The exponent field needs to represent both positive and negative exponents. A bias is added to the actual exponent in order to get the stored exponent.The Normalised Mantisa –The mantissa is part of a number in scientific notation or a floating-point number, consisting of its significant digits. Here we have only 2 digits, i.e. O and 1. So a normalised mantissa is one with only one 1 to the left of the decimal.IEEE 754 numbers are divided into two based on the above three components: single precision and double precision.

trilok sharma · Accepted Answer

EEE Standard 754 Floating Point NumbersThe IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point computation which was established in 1985 by the Institute of Electrical and Electronics Engineers (IEEE). The standard addressed many problems found in the diverse floating point implementations that made them difficult to use reliably and reduced their portability. IEEE Standard 754 floating point is the most common representation today for real numbers on computers, including Intel-based PC’s, Macs, and most Unix platforms.There are several ways to represent floating point number but IEEE 754 is the most efficient in most cases. IEEE 754 has 3 basic components:The Sign of Mantissa –This is as simple as the name. 0 represents a positive number while 1 represents a negative number.The Biased exponent –The exponent field needs to represent both positive and negative exponents. A bias is added to the actual exponent in order to get the stored exponent.The Normalised Mantisa –The mantissa is part of a number in scientific notation or a floating-point number, consisting of its significant digits. Here we have only 2 digits, i.e. O and 1. So a normalised mantissa is one with only one 1 to the left of the decimal.IEEE 754 numbers are divided into two based on the above three components: single precision and double precision.

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