Assume an 11-bit binary floating point model with 1 bit used for the sign, 6 bits...

 

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Assume an 11-bit binary floating point model with 1 bit used for the sign, 6 bits for the exponent with a bias of 31, and 4 bits for the fraction. Assuming that the values for infinity, NaN, and subnormal numbers are represented in a similar way to IEEE standard for floating point numbers: (a) What is the bit representation of o? (b) What is the bit representation of -o? (c) What is the bit representation of +0? (d) What is the largest positive number that can be represented? Give the bit represen- tation and the decimal (base 10) value. (e) What is the second, smallest, normal, positive number that can be represented? Give the bit representation and the decimal (base 10) value. Assume an 11-bit binary floating point model with 1 bit used for the sign, 6 bits for the exponent with a bias of 31, and 4 bits for the fraction. Assuming that the values for infinity, NaN, and subnormal numbers are represented in a similar way to IEEE standard for floating point numbers: (a) What is the bit representation of o? (b) What is the bit representation of -o? (c) What is the bit representation of +0? (d) What is the largest positive number that can be represented? Give the bit represen- tation and the decimal (base 10) value. (e) What is the second, smallest, normal, positive number that can be represented? Give the bit representation and the decimal (base 10) value.