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# What is radix in floating point representation?

Updated: 9/26/2023

Wiki User

7y ago

In all number bases, the radix simply represents the point that separates the integer component from the fractional component in a real number. In decimal notation, the radix is more commonly called a decimal point.

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7y ago

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Q: What is radix in floating point representation?
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### What is the utility of floating point representation of numbers?

A floating point number is, in normal mathematical terms, a real number. It's of the form: 1.0, 64.369, -55.5555555, and so forth. It basically means that the number can have a number a digits after a decimal point.

### What is floating point error?

A method for storing and calculating numbers in which the decimal points do not line up as in fixed point numbers. The significant digits are stored as a unit called the "mantissa," and the location of the radix point (decimal point in base 10) is stored in a separate unit called the "exponent." Floating point methods are used for calculating a large range of numbers quickly. Floating point operations can be implemented in hardware (math coprocessor), or they can be done in software. In large systems, they can also be performed in a separate floating point processor that is connected to the main processor via a channel.

### The IEE standared 32 bit floating point representation of the binary number 19.5 is?

0 10000011 11100000000000000000000

### In a floating point number representation the number with excess 64 code and base as 16 the number 16e-65 is represented as?

"In a floating point number representation, the number with excess 64 code and base as 16, the number 16e-65 is represented as: " This the minimum re-presentable positive number.

254

### How many bits are used in double precision floating point format number representation?

Depends on the format IEEE double precision floating point is 64 bits. But all sorts of other sizes have been used IBM 7094 double precision floating point was 72 bits CDC 6600 double precision floating point was 120 bits Sperry UNIVAC 1110 double precision floating point was 72 bits the DEC VAX had about half a dozen different floating point formats varying from 32 bits to 128 bits the IBM 1620 had floating point sizes from 4 decimal digits to 102 decimal digits (yes digits not bits).

### Floating point representation in binary why is it important to represent and how the decimal is placed in the binary?

It's a tricky area: Decimal numbers can be represented exactly. In contrast, numbers like 1.1 do not have an exact representation in binary floating point. End users typically would not expect 1.1 to display as 1.1000000000000001 as it does with binary floating point. The exactness carries over into arithmetic. In decimal floating point, 0.1 + 0.1 + 0.1 - 0.3 is exactly equal to zero. In binary floating point, the result is 5.5511151231257827e-017. While near to zero, the differences prevent reliable equality testing and differences can accumulate. For this reason, decimal is preferred in accounting applications which have strict equality invariants. So you have to be carefull how you store floating point decimals in binary. It can also be used in a fraction. It must be simplufied then reduced and multiplied.

### What is the benefit of using biased representation for the exponent portion of a floatingpoint number?

It allows you to compare two floating point values using integer hardware.

### When was Floating Point created?

Floating Point was created in 2007-04.

### What is a thamnophis radix?

there is no such thing as a thamnophis radix

### How do you represent floating point number in microprocessor?

It is somewhat complicated (search for the IEEE floating-point representation for more details), but the basic idea is that you have a few bits for the base, and a few bits for the exponent. The numbers are stored in binary, not in decimal, so the base and the exponent are the numbers "a" and "b" in a x 2b.