Please help me answer the following questions showing all th

Please help me answer the following questions showing all the steps in detail:

Find the signal - precision representation of 5/64.

Answer:

5/64 = 0.0781

Now since the number is positive, sign bit = 0

Write 0.0781 in base 2 notation as : -

0.0781 x 2 = 0.1562 | 0

0.1562 x 2 = 0.3124 | 0

0.3124 x 2 = 0.6248 | 0

0.6248 x 2 = 1.496| 1

Therefore 0.0781 = 0.000100010001....

= 1.00010001 x e - 4

Now 127 + 4 = 131 = 10000011

Now exponent = 10000011

Mentissa = 0001000100