Difference between Single Precision and Double Precision
According to IEEE standard, floating-point number is represented in two ways:
1. Single Precision: Single Precision is a format proposed by IEEE for the representation of floating-point numbers. It occupies 32 bits in computer memory.
2. Double Precision: Double Precision is also a format given by IEEE for the representation of the floating-point number. It occupies 64 bits in computer memory.
Difference between Single and Double Precision:
|In single precision, 32 bits are used to represent floating-point number.
||In double precision, 64 bits are used to represent floating-point number.
|This format, also known as FP32, is suitable for calculations that won’t be adversely affected by some approximation.
||This format, often known as FP64, is suitable to represent values that need a wider range or more exact computations.
|It uses 8 bits for exponent.
||It uses 11 bits for exponent.
|In single precision, 23 bits are used for mantissa.
||In double precision, 52 bits are used for mantissa.
|Bias number is 127.
||Bias number is 1023.
|Range of numbers in single precision : 2^(-126) to 2^(+127)
||Range of numbers in double precision : 2^(-1022) to 2^(+1023)
|This is used where precision matters less.
||This is used where precision matters more.
|It is used for wide representation.
||It is used for minimization of approximation.
|It is used in simple programs like games.
||It is used in complex programs like scientific calculator.
|This is called binary32.
||This is called binary64.
|It requires fewer resources as compared to double precision.
||It provides more accurate results but at the cost of greater computational power, memory space, and data transfer.
|It is less expensive.
||The cost incurred using this format does not always justify its use for every computation .
Please refer Floating Point Representation for details.
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