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# cs101 Assignment No. 1 Solution and Discussion Due Date: 21 may 2015

Objectives:

To learn and understand the basic concepts of Computing, Logic Gates, Binary operations and their practical implementation

Instructions:

It should be clear that your assignment will not get any credit if:

• The assignment is submitted after due date.
• The assignment is submitted via email.
• The assignment is copied from Internet or from any other student.
• The submitted assignment does not open or file is corrupt.
• It is in some format other than .doc (MS Word Document).

Note: All types of plagiarism are strictly prohibited.

For any query about the assignment, contact at CS101@vu.edu.pk

Question No 1:                                                                                                                           Marks 10

Ali wants to complete his BSCS but he is unable to pay his university fee due to financial problems. Being a bright student, he is availing scholarship but that amount is not sufficient to meet his ends. One of his teachers suggests him to wok online and guides him how to start working as a freelancer. Ali gets his first task which is based on some basic computing concepts. Can you help him in his task by solving the following questions?

a)                Convert (1000100)2 into decimal equivalent.

b)                Convert (68)10 into binary equivalent.

Question No 2:                                                                                                                           Marks 10

1)      Complete the given truth table for the following expression:

X= (A.B.C) + A. (B´+ C´)

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

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### Replies to This Discussion

Our main purpose here discussion not just Solution

We are here with you hands in hands to facilitate your learning and do not appreciate the idea of copying or replicating solutions.

Q1:

a)                  Convert (1000100)2 into decimal equivalent.

Binary = 1000100

Decimal= 1×2⁶+0×2⁵+0×2⁴+0×2³+1×2²+0×2¹+0×2⁰

= 68

Signed decimal = (68)10

how to type 2 raise to power 6 ?

use ctrl+shift and (+) to write exponent

Q1

b)                  Convert (68)10 into binary equivalent.

Binary = (1000100)2

Question # 2

1)      Complete the given truth table for the following expression:

X= (A.B.C) + A. (B´+ C´)

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

)                  Convert (1000100)2 into decimal equivalent.

(1000100)2 =   (1 * 26  + (0*25) + (0*24) + (0*23) + (1*22) + (0*21) + (0*20)

= 64 + 0 + 0 + 0 + 4 + 0 + 0

= 64+4

= (68)10

b)                 Convert (68)10 into binary equivalent.

2       68                                               Remainders

34                                                       0

17                                                       0

8                                                         1

4                                                         0

2                                                         0

1                                                         0

Hence, (68)10 = (1000100)2

start this question to rightmost corner to leftmost corner your mentioned answer is wrong

 A B C A.B.C B' C' B' + C' A.( B' + C') X 0 0 0 0 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 o 1 0 0 0 1 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1

hi,

can you explain how to prepare this table

thanks

if any body need help to solve this Assignment then he/she can contact me.....

regards

Omar....

aslam o alikum ,

can u explain about table ?

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