Question

How is infinity represented in IEEE floating point format?

Show the encoding for negative infinity?
How is NaN represented in IEEE floating point format?
What are some operations that can lead to NaN being generated in IEEE floating point format.

Answer 1

In IEEE floating point format, infinity is represented using special values called positive infinity and negative infinity. NaN (Not a Number) is another special value in IEEE floating point format and is used to represent undefined or indeterminate operations. Some operations that can lead to NaN being generated in IEEE floating point format include dividing zero by zero, multiplying infinity by zero, and taking the square root of a negative number.

Step-by-step explanation:

In IEEE floating point format, infinity is represented using special values called positive infinity and negative infinity. Positive infinity is represented by setting all exponent bits to 1 and all fraction bits to 0. For negative infinity, the sign bit is set to 1, all exponent bits are set to 1, and all fraction bits are set to 0.

NaN (Not a Number) is another special value in IEEE floating point format and is used to represent undefined or indeterminate operations. It is represented by setting all exponent bits to 1 and at least one fraction bit to 1.

Some operations that can lead to NaN being generated in IEEE floating point format include dividing zero by zero, multiplying infinity by zero, and taking the square root of a negative number.