Question 1
Which of the given number has its IEEE-754 32-bit floating point representation as (0 10000000 110 0000 0000 0000 0000 0000)
Step-by-Step Solution
Detailed Explanation:
Sign bit = 0 (positive number).
$Biased Exponent = 10000000_2 = 128. Actual exponent E = 128 - 127 = 1.$
$Mantissa = 110 0000... -> Implicit leading 1 yields 1.11_2 = 1 + 0.5 + 0.25 = 1.75.$
$Value = (+1) * 1.75 * 2^1 = 3.5.$