The format of the single-precision floating point representation of a real number as per the IEEE 754 standard is as follows:
Which one of the following choices is correct with respect to the smallest normalized positive number represented using the standard?
(A) exponent =00000000 and mantissa =0000000000000000000000000
(B) exponent =00000000 and mantissa =0000000000000000000000001
(C) exponent =00000001 and mantissa =0000000000000000000000000
(D) exponent =00000001 and mantissa =0000000000000000000000001
Explanation: The smallest biased exponent for the normalized number is E=1.
The smallest Mantissa M = 000…0
The smallest positive normalized number
= 1.M x 2^(E-127)
= 1.0 x 2^(-126)
Correct option C.
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