What is floating-point representation with example?
In this example, the value 2 is referred to as the exponent. Computers use something similar called floating point representation. However, computer systems can only understand binary values. This means that the Mantissa and Exponent must be represented in binary….0.100101 x 2 0101.
| Mantissa | Exponent |
|---|---|
| 100101 | 0101 |
How the arithmetic operations are done in floating-point numbers and explain with an example?
Arithmetic operations on floating point numbers consist of addition, subtraction, multiplication and division. The operations are done with algorithms similar to those used on sign magnitude integers (because of the similarity of representation) — example, only add numbers of the same sign.
What is arbitrary precision signed decimal?
Immutable, arbitrary-precision signed decimal numbers. A BigDecimal consists of an arbitrary precision integer value and a non-negative integer scale, which represents the number of decimal digits to the right of the decimal point. (The number represented by the BigDecimal is intVal/10**scale.)
What is floating point arithmetic and why do computers employ it?
Floating point numbers are used to represent noninteger fractional numbers and are used in most engineering and technical calculations, for example, 3.256, 2.1, and 0.0036. The most commonly used floating point standard is the IEEE standard.
Would the FPU have to be used to perform arithmetic between an unsigned integer and a floating-point value?
No FPU is required. This is also called fixed-point arithmetic. It is like the mantissa part of a floating point number, without the exponent.
What is floating-point representation explain it with example?
Example: To convert -17 into 32-bit floating point representation Sign bit = 1. Exponent is decided by the nearest smaller or equal to 2n number. For 17, 16 is the nearest 2n. Hence the exponent of 2 will be 4 since 24 = 16. 127 is the unique number for 32 bit floating point representation.