Question 4
a) Largest positive
0 1110 1111 1111 111
exponent:  14 - 7 = 7
mantissa: 1.1111 1111 111
 = 2 - 2-11
number:  27 * (2 - 2-11) = 28 - 2-4
b) smallest positive normalized
0 0001 0000 0000 000
exponent:  1 - 7 = -6
mantissa: 1.0
number:  2-6 * 1 = 2-6
c) smallest denormalized
0 0000 0000 0000 001
exponent: -6
mantissa: 1.0 * 2-11
number:  2-6 * 2-11 = 2-17
d) Smallest gap between normalized:
0 0001 0000 0000 001
0 0001 0000 0000 000
exponent: -6
mantissa: 1.0000 0000 001 - 1
difference:  2-6 * 2-11 = 2-17
e) Largest gap:
0 1110 1111 1111 111
0 1110 1111 1111 110
exponent:  14 - 7 = 7
mantissa: 1.1111 1111 111 - 1.1111 1111 110
difference:  27 * 2-11 = 2-4