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
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 2311 = 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)
2^E : 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^E) * 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.
Do not use fractions and type the decimal values very precisely (accurate to the last decimal place).
| Bits | e | E | 2^E | f | M | s*(2^E)*M |
1 010 010
0 011 111 1 000 101
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