Question

Question 14

Exactly how many bits are in the following? (In notation)

4 GB

Question 16

Answer the question.

How many bytes are required to store a monochrome display (assume one bit is needed for each pixel) that uses 1280 columns and 960 rows of pixels?

Question 19

What is the decimal equivalent of the following floating point number?

1 1000 0001 1000 0000 0000 0000 0000 000

Answer 1

Question 14

4 GB

1 GB= 2³⁰ B

4 GB= 4*2³⁰ B= 2²*2³⁰ B= 2³⁴ Bytes

1 B= 8 bits

Therefore, 2³⁴ B= 2³⁴*8=2³⁴*2³=2³⁷ bits

Question 16

In a monochrome (black/white), image, each pixel is stored as a single 0 or 1 value (bit). A 1280 X 960 monochrome image would require 153.6 KB of storage.

Question 19

Sign    Exponent   Mantissa

1         10000001   10000000000000000000000

Considering it to in the 32-bit floating point representation

The exponent is evaluated as 129 in decimal.

Actual value= 129-127=2

Thus, Mantissa= 1.10*2²= 110₂=6₁₀

Sign= -ve

Therefore the resultant value is: -6₁₀