CODEWITHSUNDEEP
floating-pointdecimalieee-754
Icestorm
Icestorm

Reputation: 197

Decimal to floating point

If I wanted to convert a number Ex. 32.24x10^5 to IEEE 754 standard BY HAND how would I do it?

Upvotes: 3

Views: 992

Answers (2)

gilligan
gilligan

Reputation: 508

The following links should be helpful in figuring it out:

http://en.wikipedia.org/wiki/Floating-point_number

http://www.h-schmidt.net/FloatApplet/IEEE754.html

You could also google for comp.sci university lectures because students often have to do something like that when they learn basics of computing etc.

Upvotes: 1

JoshD
JoshD

Reputation: 12824

First, read and familiarize yourself with some information about the format. Then convert the whole number to binary. Then determine the exponent (power of two of course) to normalize the mantissa. Then encode the mantissa in the appropriate bits and the exponent in the appropriate bits.

32.24E5 = 3224000
= 1100010011000111000000b
= 1.100010011000111000000b E 21 (that's 2^21)
= 1.100010011000111000000b E 10101b

So now, encode the two values into the exponent portion and the mantissa portion (keep in mind that the leading one in the mantissa isn't included, it's assumed to be one always (depending on the format, hence the familiarize step)).

Upvotes: 6

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