a. A digital system has been developed to measure temperatures in the range 0C to 100C. If the accuracy of the system is such that the maximum number of bits that it can represent is 10 bits, and the actual temperature being read is 36.5C, what is the closest possible value that the system could represent? Interprete your results.

b. Determine the 32-bit binary representation for floating point numbers in the form I.F x be where I is the interger part, F is the fraction, b is the base, and e is the exponent. Using this format, represent the number -1.00011011101 x 231 as a 32 bit floating point number.