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2 votes

5 votes

2.25 = 10.01 * 2^0 = 0.1001 * 2^2

In un-normalized version , number is represented as (-1)^s 0.M x 2^(E-63)

here M = 1001

Now E-63 = 2 => E = 65.

And, s=1 , since number is Negative.

So the representation would be ,

1 100100000000000000000000 1000001

where s=1

M=100100000000000000000000

and E-63 which is 65 is 1000001,

from extreme right , make groups of 4.

After making groups , one can easily see it is , C8000041

In un-normalized version , number is represented as (-1)^s 0.M x 2^(E-63)

here M = 1001

Now E-63 = 2 => E = 65.

And, s=1 , since number is Negative.

So the representation would be ,

1 100100000000000000000000 1000001

where s=1

M=100100000000000000000000

and E-63 which is 65 is 1000001,

from extreme right , make groups of 4.

After making groups , one can easily see it is , C8000041