Question No

Question No. 3 Prove right hand side equal to left hand site by using truth table ((A+B.C).(A.C+B))’ =A’.B’+ A’.C’+B’.C’ -------

ANS: LEFT HAND SIDE A

B

C

A'

B'

C'

A'.B'

A'.C'

B'.C'

A’.B’+ A’.C’+B’.C ’

0 0 0 0 1 1 1 1

0 0 1 1 0 0 1 1

0 1 0 1 0 1 0 1

1 1 1 1 0 0 0 0

1 1 0 0 1 1 0 0

1 0 1 0 1 0 1 0

1 1 0 0 0 0 0 0

1 0 1 0 0 0 0 0

1 0 0 0 1 0 0 0

1 1 1 0 1 0 0 0

RIGHT HAND SIDE: A

B

C

0 0 0 0 1 1 1 1

A+B

0 0 1 1 0 0 1 1

0 1 0 1 0 1 0 1

A.C 0 0 1 1 1 1 1 1

0 0 1 1 0 1 1 1

((A+B).C ) 0 0 0 1 1 1 1 1

(A. (C+B)) 0 0 1 1 0 1 1 1

(((A+B).C)(A.(C+B))) 1 1 1 0 1 0 0 0

SO: A

B

C

0 0 0 0 1 1 1

0 0 1 1 0 0 1

0 1 0 1 0 1 0

((A+B.C) . (A.C+B))’ 1 1 1 0 1 0 0

A’.B’+ A’.C’+B’.C’ 1 1 1 0 1 0 0

1

1

1

0

0

Hence right hand side is equal to left hand side.

Qno.2: Convert the following binary and decimal number into their respective number system. i) 396

= (

ii) 101011 = ( ans: i) 396=

ii)

? ?

)2 )10

(110001100) 2

101011 = (43)

Qno3: “The semantic Web is an extension of the current Web in which information is given well-defined meaning, better enabling computers and people to work in cooperation.” An extension of the current Web that provides an easier way to find, share, reuse and combine information. It is based on machine-readable information and builds on XML technology's capability to define customized tagging schemes and RDF's (Resource Description Framework) flexible approach to representing data. The Semantic Web provides common formats for the interchange of data (where on the Web there is only an interchange of documents). It also provides a common language for recording how data relates to real world objects, allowing a person or a machine to start off in one database, and then move through an unending set of databases which are connected not by wires but by being about the same thing.