Question

Consider 0x40400000 to represent a 32-bit floating-point number in IEEE754 single- precision format. What decimal value does
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Answer #1

Answer: 3.0

Explanation:

Given Hex = 0x40400000

Converting it to binary we get 0100 0000 0100 0000 0000 0000 0000 0000;

Representing in IEEE 754 format: 0 10000000 10000000000000000000000

Sign Bit is 0; So the number is positive

Exponent = 10000000 = 128

= 1.1 * 2^(128-127) = 11.0

Converting 11.0 to decimal we get 3.0

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