Answer the following questions: a. Find the single-precision floating point repr

Question

Answer the following questions:

a. Find the single-precision floating point representation of the each of the following numbers:

I. 175.5

II. -1.25

III. 3160.0

b. Find the double-precision floating point representation of each of the following numbers:

I. 175.5

II. -1.25

III. 3160.0

c. Find the decimal number corresponding to the following single-precision floating point representation:

I. C26A0000

d. Find the decimal number corresponding to the following double-precision floating point representation:

I. 407A44570A3D70A4

e. Find the decimal number corresponding to the following extended double-precision floating point representation:

I. 4008FA00000000000000

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Explanation / Answer

a)
1. 0 10000110 01011111000000000000000
2. 1 01111111 01000000000000000000000
3. 0 10001010 10001011000000000000000

b)
1. 0 00010000110 01011111000000000000000 0000000000 0000000000 000000000
2. 1 00001111111 01000000000000000000000 0000000000 0000000000 000000000
3. 0 00010001010 10001011000000000000000 0000000000 0000000000 000000000

C)
-58.5

D)

420.27125000000000

E)

3.1220703125000000

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