Determine the 32-bit binary representation for floating point numbers in the form ± I.F x be where I is the interger part, F is the fraction, b is the base, and e is the exponent. Using this format, represent the number -1.00011011101 x 225 as a 32 bit floating point number. b) During the process of digital sampling, data can be lost due to aliasing. Analyse this problem and provide at least two possible solutions. Also, determine the rate at which a signal should be sampled, if the highest frequency is 60MHz.
a) Determine the 32-bit binary representation for floating point numbers in the form
± I.F x be where I is the interger part,
F is the fraction,
b is the base, and
e is the exponent.
Using this format, represent the number -1.00011011101 x 225 as a 32 bit floating point number.
b) During the process of digital sampling, data can be lost due to aliasing. Analyse this problem and provide at least two possible solutions. Also, determine the rate at which a signal should be sampled, if the highest frequency is 60MHz.
c) In your own words, discuss the relationship between the hexadicimal number system and the binary number system. Use this relationship to convert the following hexadecimal values to binary.
i) 5BC916 ii) 6EF816 iii) 8A4D16 iv) 9ED516
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