The following bit pattern represents a floating point number in IEEE 754 single precision format:The value of the number in decimal form isa)- 10b)- 13c)- 26d)None of theseCorrect answer is option 'C'. Can you explain this answer? - EduRev Computer Science Engineering (CSE) Question

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The following bit pattern represents a floating point number in IEEE 754 single precision format:

The value of the number in decimal form is

a)
- 10
b)
- 13
c)
- 26
d)
None of these

Correct answer is option 'C'. Can you explain this answer?

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The following bit pattern represents a floating point number in IEEE 7...

Sign bit is 1 implies number is negative. Exponent bits: 10000011 Exponent is added with 127 bias in IEEE single precision format.
So, Actual exponent
= 10000011 - 127
= 131 - 127 = 4
Mantissa bits: 101000000000000000000000
In IEEE format, an implied 1 is before mantissa.
Hence the Number is -1.101*2⁴
= - (11010)₂ = - 26

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The following bit pattern represents a floating point number in IEEE 754 single precision format:The value of the number in decimal form isa)- 10b)- 13c)- 26d)None of theseCorrect answer is option 'C'. Can you explain this answer?

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