1)       X’Y’Z’ + X’ Y Z + X Y Z’

2)      Some variations may occur, however this is an appropriate answer.

a.       F= AB’ + A’B + A’B’

b.      F= AB’ + A’B + ( A’B’ + A’B’ )         Idempotency    

c.       F= AB’ +  A’B’ + A’B  + A’B’             commutative    

d.      F= B’ (A’ + A) +  A’ (B + B’)             distributive       

e.      F= B’ (1) +  A’ (1)                               identity               

f.        F= B’ +  A’                                              identity

3)       

X

Y

X’

Y’

X’ Y’

X’ Y

X’ Y’ + X’Y

0

0

1

1

1

0

__1__

0

1

1

0

0

1

__1__

1

0

0

1

0

0

__0__

1

1

0

0

0

0

__0__

 

4)       

Prob4Hw2.JPG

5)      Write the decimal number, 25, using the 7-bit ASCII code.   0110010 0110101  14 bits

6)     Write the decimal number, 25, as a twos complement number, using the least bits possible.
 011001                    0001 1001 is fine.

7)      How many bytes are needed to store one hour of video in an uncompressed format if we assume that 30 frames per second are needed, the frame size is 1024 x 768 pixels, and the video is stored using 24bit graphics?
1024 x768 pixels = 786432 pixels
24 bits means 3 Bytes for each pixel => 3 x 786432 = 2359296 Bytes for one frame
x 30 frames/sec x 60 sec/min x 60 min/hour = 2359296 x 30 x 60 x 60 = 254,803,968,000 Bytes
x 1 Kb/1024 B = 248832000KB x 1MB/1024KB = 243000 MB x1 GB/1024 MB = 237.3 GB
So uncompressed, 1 hour of video would pretty much take up your whole hard  drive!