Here is the problem:
"Suppose you work with a 8-bit (binary) computer (that is, numbers are represented by a
binary word of 8 bits). Reserving one bit each for the sign of the normalised mantissa, the
sign of the exponent and the exponent itself, explain to how many signicant gures you can
represent numbers (not using a hidden bit).
What is the smallest nonzero number you can represent and what is the biggest? How many
numbers can be represented in this way?
How big must a number be for this computer to overflow?"