CS302 Assignment 1 Solution and Discussion


  • Cyberian's Gold

    Digital Logic Design (CS302)
    Assignment # 01

    Total marks = 20

    Deadline:01-06-2020

    Please carefully read the following instructions before attempting assignment.

    RULES FOR MARKING
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    The assignment is submitted after the due date.
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    Topic Covered:
    Number Systems
    Octal number
    BCD Numbers
    Lectures Covered
    Lecture 01- 06

    NOTE

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    Questions No 01 Marks (05)

    Perform decimal to binary conversion on given decimal number using Sum-of-weights method. Verify the answer using repeated division method.

    Decimal Number=1050

    Questions No 02 Marks (10)

    Perform the following arithmetic operations. For conversion you can use indirect method of conversion only.

    〖(E2BC3F)〗_16-(10110101000000011110001)_2+ (537476217)_8 =(________)_16
    Questions No 03 Marks (05)

    Perform BCD addition between these two numbers. Kindly perform all the steps.
    46
    37


  • Cyberian's Gold


  • Cyberian's Gold


  • Cyberian's Gold

    @zaasmi said in CS302 Assignment 1 Solution and Discussion:

    Questions No 02 Marks (10)
    Perform the following arithmetic operations. For conversion you can use indirect method of conversion only.
    〖(E2BC3F)〗_16-(10110101000000011110001)_2+ (537476217)_8 =(________)_16
    Questions No 03 Marks (05)
    Perform BCD addition between these two numbers. Kindly perform all the steps.
    46
    37

    • (E2BC3F)_16 is already in Hexadecimal number system so there is no change required.
    • (10110101000000011110001)_2
      We must make 4-bit pairs as Hexadecimal number system uses 4-bits to represent a number.

    0101 1010 1000 0000 1111 0001
    5 A 8 0 F 1

    • Hence,(10110101000000011110001)_2=(5A80F1)_16
      (537476217)_8
      Now for an octal number, we must have to convert the octal number into a Binary Number System then convert that Binary Number to a Hexadecimal Number System.

    (537476217)_8=(101 011 111 100 111 110 010 001 111)_2

    Again, as we use 4-bits to represent a Hexadecimal Number, we have to rearrange the stated Binary Number.

    (101 011 111 100 111 110 010 001 111)_2=(0101 0111 1110 0111 1100 1000 1111)_2
    =5 7 E 7 C 8 7
    (537476217)_8= (101 011 111 100 111 110 010 001 111)_2=(57E7C8F)_16

    69f893a5-95c6-4dc0-af5e-6378af8b6822-image.png

    By performing the stated arithmetic operations on given three Hexadecimal Number System, we will get the final Answer.

    〖(E2BC3F)〗_16-(10110101000000011110001)_2+ (537476217)_8 =(606B7DD)_16


  • Cyberian's Gold

    @zaasmi said in CS302 Assignment 1 Solution and Discussion:

    Questions No 01 Marks (05)
    Perform decimal to binary conversion on given decimal number using Sum-of-weights method. Verify the answer using repeated division method.
    Decimal Number=1050

    Sum of Term Highest Weight Binary Number Sum of Term – Highest Weight
    1050 1024 10000000000 26=1050-1024
    26 16 10000100000 10=26-16
    10 8 10000011000 2=10-8
    2 2 10000011010 0=2-2

    Binary Equivalent= (10000011010)2
    Repeated Division Method:

    2 1050
    2 525-0
    2 262-1
    2 131-0
    2 65-1
    2 32-1
    2 16-0
    2 8-0
    2 4-0
    2 2-0
    1-0


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