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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?
Verified Answer
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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