Consider a 7-bit floating-point representation based on the IEEE floating-point

Question

Consider a 7-bit floating-point representation based on the IEEE floating-point format, with one sign bit, three exponent bits (K 3), and three fraction bits (n 3). The exponent bias is 23-1-1 3. The table that follows enumerates some of the values for this 7-bit floating-point representation. Fill in the blank table entries using the following directions: e The value represented by considering the exponent field to be an unsigned integer (as a decimal value) E: The value of the exponent after biasing (as a decimal value) 2E The numeric weight of the exponent (as a decimal floating point value) f: the value of the fraction (as a fractional decimal value such as 0.1234) M The value of the significand (as a floating value such as 1.2345) s 2 M The value of the number in decimal (as a decimal floating point value). The 's' is equal to +1 if the number is positive and -1 if it is negative. Finally, please DO NOT USE fractions and type the decimal values very precisely (accurate to the last decimal place).

Explanation / Answer

1 010 010       2       2       4       0.25       1.25       -5      
0 011 111       3       0       1       .875       1.875       1.875
1 000 111        0       0       1       .875       1.875       -1.875

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