Problem A Provide single precision representation of 00110 S

Problem A. Provide single precision representation of -0.0110. Show your work.

Problem B. What is a decimal number represented by this double precision bit pattern (Show your work):

0 11000000111 0101100000000000000000000000000000000000000000000000

Problem C. What is a decimal number represented by this double precision bit pattern (Show your work):

0 00000000000 0111100000000000000000000000000000000000000000000000

Problem D. Assume a 32-bit floating point format with 7 (instead of 8) bits for Exp and 24 (instead of 23) bits for Frac. a. What is a bias for this format?

Solution

single precision representation of -0.0110

-1.1 * 2^-2

decimal number represented by this double precision bit pattern

-3.75 * 10^-1