The decimal value of the number stored in 01000000010000000000000000000000 is
3
-2.5
10.5
10.01
Answer : 3
Explanation :
According to IEEE 754 floating point number to
decimal conversion is like below:
The given floating point number is 0100 0000 0100 0000 0000 0000
0000 0000
Sign = 1 bit (0)
Exponent = 8 bits (10000000)
Mantissa = 23 bits (100000000000000000000000)
Formula: (1)^sign
2^exponent-127 (1*Mantissa)
sign = 1^1 = "+"
Exponent = 10000000 = 1*2^7 = 128
Mantissa = 1*2^1 = 0.5
Applying formula:
=2^(128-127) [1 + 0.5]
= 2^1 1.5
= 3
So the Answer is : 3
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The decimal value of the number stored in 01000000010000000000000000000000 is 3 -2.5 10.5 10.01
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