5000. A new machine has been developed which will use a 20-bit register. Reals will be stored with a 1‑bit sign and a 6‑bit exponent. What will be the range for reals? What will be the range for Integers?

 

Integers:    Given 20-bits:   1-bit for the sign, 19-bits for the value = -219 to + 219 - 1

                                                     => -524,288 to +524,287

 

Reals:        Given 1-bit sign, 6-bit exponent, 13-bit values:

 

                                       6-bit sign:    Exponent Value = -25 to +25-1   

                                      13-bit value:  Range = 213 = 0 to 8,192

ð     3 decimals of precision