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cs-65-s2-dec-2006

cs-65-set1-2006(dec)

Question 1 (iv)

(d) Design and draw a combinational circuit using AND-OR-NOT gates that accepts an input number of three    bits. The output of the circuit is a 6 bit number that is the square of the input number. Make the truth table for the  circuit and use K-maps to design the circuits.(1 Mark)

cs-64 COMPUTER ORGANIZATION

(c) Consider an 8-bit data 11100010 along with its Single Error Correcting (SEC) code bits was sent across a communication channel and was received at the destination as 01100010. (You may assume that all the Single Error Correcting code bits that were sent were received correctly at the destination). Find out the SEC bits that were generated at the Source and at the destination of data. Show how these error correcting bits can be used to flag and correct the error in the received data.(2 Mark)

cs-64 COMPUTER ORGANIZATION

(b)    Perform the following arithmetic operations using binary Signed     2’s complement notation. (Please note that all the numbers     given in this question are in decimal notation). Use only 8 bit     representation. Indicate the overflow, if any.    (1 Mark)      
   
    (i)    +35 – 75
    (ii)    –35 – 93
    (iii)    +35 – (–93)
    (iv)    +35 – 24
ANS:

      i) +35 – 75 = (+35) +(–75)

               +35 in 8 bit binary =  0 0100011
               –75 in 8 bit binary =  1 0110101 ( 2's complement of 75)
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               –40 in 8 bit binary =  1 1011000 ( 2,s complement of 40)

     ii) –35 –93 = (–35) + (–93)

        –35  =   1 1011101 (2'  complement of 35)
        –93  =   1 0100011 (2'  complement of 93)

     –128  =  11 0000000 (2'  complement of 128)

     iii) +35 - (-93) = +35 +93

               +35 = 0 0100011
           –(–93) = 0 1011101
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              128  =  1 0000000 

    iv) +35 – 24 = +35 + (–24)

          +35 = 0 0100011
          –24 = 1 1101000 ( 2's complement of 24)
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        +11 = 10 0001011 ( 1 is excluded or is left)

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cs-64 COMPUTER ORGANIZATION

Course Code                          :           CS-64

Course Title                           :           Introduction to Computer Organisation

Assignment Number              :           BCA (4)-64/Assignment/2010

Maximum Marks                   :           25

Last Date of Submission       :           30^th April, 2010 (For January Session)

30^th October, 2010 (For July Session)

here are three questions in this assignment.  Answer all the questions.  You may use illustrations and diagrams to enhance your explanations.  You may use illustrations and diagrams to enhance the explanations.  Please go through the guidelines regarding assignments given in the Programme Guide for the format of presentation.  Answer to each part of the question should be confined to about 300 words.

Questions 1

(a)                 Convert the following decimal numbers to binary, octal and hexadecimal. (1 mark)

(i)                 1259

(ii)               3500

(iii)              256

(iv)             1039

Ans

i)1259

      in binary =10011101011
      in octal   =2353
      in hexa decimal= 4EB

ii)3500
       in binary = 110110101100
       in octal=6654
       in hexa decimal=DAC
iii)256
      in binary = 100000000
      in octal   = 400
      in hexa decimal = 100

 iv)1039
      in binary = 10000001111
      in octal   =2017
      in hexa decimal =40F

ASSIGNMENT

prasant kumar Suman
Hardware & Network Engineer
ignou bca student