1 100 0000 -1 .0 * 2 1 = -2 e. How 1 will be represented? 0 011 0000 1.0 * 2 0 =

Question

1

100

0000

-1 .0 * 2 1 = -2

e.      How 1 will be represented?

0

011

0000

1.0 * 2 0 = 1

f.        What is the smallest positive number in this representation? (without denormal)

min +ve

0

001

0000

1 * 2 -2 = 0.25

g.       What is the maximum number?

Max

0

110

1111

1 .1111 * 2 3 = - 1.9375 * 8 = 15.5

h.      What is the smallest negative number (in absolute value)? (without denormal)

max -ve

0

001

0000

1 * 2 -2 = 0.25

i.         What is the minimum number?

Min

1

110

1111

-1 .1111 * 2 3 = - 1.9375 * 8 = -15.5

j.        How 0.2 will be represented?

1

100

0000

-1 .0 * 2 1 = -2

Explanation / Answer

e. 1 can be represented in binary as (1.0 * 2)0

f. The samllest positive number is (1*2)2

g. The maximum number is 15.5

h. The smallest negative number is 001. (here we have to consider the absolute value)

i. The minimum number is 1.

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