Question

Suppose we have a 10-bit computer that uses 10-bit floating-point computational unit (Flot number uses IEEE floating-point arithmetic where a floating point number has 1 sign bit, 5 exponent bits, and 4 fraction bits). The representation for \( +\infty \) (plus infinity) is:

• A. 0 11111 0000
• B. 1 11111 0000
• C. 0 00000 1111
• D. 0 11111 1111

Hint:

In IEEE 754 format, \( +\infty \) is represented with an exponent of all ones and a fraction of zeros, with the sign bit being 0.

Answer 1

The Correct Option is A

In IEEE 754 floating-point representation, the special value for \( +\infty \) is represented as follows: - Sign bit: 0 for positive values (since we are dealing with \( +\infty \)). - Exponent: The exponent is all ones (11111 for a 5-bit exponent) for infinity. - Fraction: The fraction is all zeros for infinity. Thus, the correct representation for \( +\infty \) is: \[ \boxed{0 \, 11111 \, 0000} \]