Homework Answers
Number -142.1
Sign bit = 1
Binary equivalent of 142 = 10001110
Binary equivalent of 0.1 = 0.000110011001100110011
Therefore 142.1 in binary = 10001110.000110011001100110011
,in exponent form =
1.0001110000110011001100110011 x 2^7
In single precision:
Number is written in 32 bits, where leftmost bit is the
sign bit, next 8 bits from the left are exponent bits, next 23 bits
are the normalised mantissa bits.
Biased Exponent: 127 + 7 = 134
134 in binary is: 10000110
Normalised mantisa = 00011100001100110011010 (as we require only 23 bits from the left and rounding the last decimal place)
Therefore;
-142.1 =
1 10000110 00011100001100110011010
This in hexadecimal form is: C30E199A
______________________________________________
Feel free to ask any questions in the comments section
Thank You!
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