Consider a 5-bit floating-point representation based on the IEEE floating-point format, with one sign bit, two exponent bits (k = 2), and two fraction bits (n = 2).
The exponent bias is 2²⁻¹ − 1= 1.
The table that follows enumerates the entire nonnegative range for this 5-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

E : The value of the exponent after biasing 2E: The numeric weight of the exponent

f : The value of the fraction

M : The value of the significand 2E ×M: The (unreduced) fractional value of the number

V : The reduced fractional value of the number 

Decimal: The decimal representation of the number 

Express the values of 2^E, f , M, 2^E × M, and V either as integers (when possible) or as fractions of the form ^x/_y , where y is a power of 2. You need not fill in entries marked -.

Transcribed Image Text:

Bits 0 00 00 0 00 01 0 00 10 0 00 11 0 01 00 0 01 01 0 01 10 0 01 11 0 10 00 0 10 01 0 10 10 0 10 11 0 11 00 0 11 01 0 11 10 0 11 11 E 0 2E H f 1 M inl+ 2E x M FIS 2 FIS Decimal 1.25