Recall that s is the sign indicator f the mantissa or

Question

Recall that a floating-point number can be expressed as

(-1)^s (1 + f) 2^e

where s, f and e are binary numbers.

Recall that s is the sign indicator, f the mantissa (or fractional part), and e the exponent.

Suppose the sign is 1 bit long, the mantissa 12 bits long, and the exponent has 9 bits. What are the largest and smallest positive numbers in this computer system?