බුලියන් සමීකරනය

mfdo90

Well-known member
  • Jan 6, 2009
    1,160
    168
    63
    බුලියන් සමීකරනය

    මේ බුලියන් සමීකරනය සුලු කරන්න උදව් දෙන්නකෝ...
    Picture1.png
     

    Gasa84

    Well-known member
  • Jan 9, 2013
    23,957
    1,624
    113
    (A+B)'(A'+B')=A'B'(A'+B')=A'B'A'+A'B'B'=A'B'+A'B'=A'B'=(AB)'


    balapan machan harida kiyala

    A b 1 2
    0 0 1 1 ok
    0 1 0 0 ok
    1 0 0 0 ok
    1 1 0 0 ok
     
    Last edited:
    (A+B)'(A'+B')=A'B'(A'+B')=A'B'A'+A'B'B'=A'B'+A'B'=A'B'=(AB)'


    balapan machan harida kiyala

    A b 1 2
    0 0 1 1 ok
    0 1 0 0 ok
    1 0 0 0 ok
    1 1 0 0 ok

    finl ans eka waradi neh macn?
    mehema neda wenna one?

    (X+Y)'.(X'+Y')=
    (X'Y').(X'+Y') de morgan's lows
    = X'Y'X'+X'Y'Y'
    = Y'X'X'+X'Y'Y'
    = Y'X'+X'Y' (XX=X)
    = Y'X'+Y'X'
    = Y'X'
    =(Y+X)' De morgan's Low
     

    kavi719

    Active member
  • Dec 16, 2008
    390
    68
    28
    (A+B)'(A'+B')=A'B'(A'+B')=A'B'A'+A'B'B'=A'B'+A'B'=A'B'=(AB)'


    balapan machan harida kiyala

    A b 1 2
    0 0 1 1 ok
    0 1 0 0 ok
    1 0 0 0 ok
    1 1 0 0 ok

    final step eka poddak waradiy machan.

    කෑප්ටන් Jack Sparrow;16210695 said:
    finl ans eka waradi neh macn?
    mehema neda wenna one?

    (X+Y)'.(X'+Y')=
    (X'Y').(X'+Y') de morgan's lows
    = X'Y'X'+X'Y'Y'
    = Y'X'X'+X'Y'Y'
    = Y'X'+X'Y' (XX=X)
    = Y'X'+Y'X'
    = Y'X'
    =(Y+X)' De morgan's Low

    :yes:
     

    DJvodka

    Well-known member
  • Mar 31, 2009
    3,375
    292
    83
    A land like no other
    කෑප්ටන් Jack Sparrow;16210695 said:
    finl ans eka waradi neh macn?
    mehema neda wenna one?

    (X+Y)'.(X'+Y')=
    (X'Y').(X'+Y') de morgan's lows
    = X'Y'X'+X'Y'Y'
    = Y'X'X'+X'Y'Y'
    = Y'X'+X'Y' (XX=X)
    = Y'X'+Y'X'
    = Y'X'
    =(Y+X)' De morgan's Low

    Correct

    *law
     

    Gasa84

    Well-known member
  • Jan 9, 2013
    23,957
    1,624
    113
    කෑප්ටන් Jack Sparrow;16210695 said:
    finl ans eka waradi neh macn?
    mehema neda wenna one?

    (X+Y)'.(X'+Y')=
    (X'Y').(X'+Y') de morgan's lows
    = X'Y'X'+X'Y'Y'
    = Y'X'X'+X'Y'Y'
    = Y'X'+X'Y' (XX=X)
    = Y'X'+Y'X'
    = Y'X'
    =(Y+X)' De morgan's Low

    ela uba hari........:yes::yes::yes::yes:
     

    mfdo90

    Well-known member
  • Jan 6, 2009
    1,160
    168
    63
    Thanks

    ela uba hari........:yes::yes::yes::yes:
    Thanks okkolatama help ekata..
    Macho me mage BIT Exam eke Assignment eke Question ekkak....
    Matah awe oya uththrayama thama...
    Eth macahnla prashnaya..me MCQ eke answer walata tiyenne..
    a. X
    b. 1
    c. X.Y
    d. 0
    e. Y

    oya 5 answer eken ekkawath mata enne ne bun ekai awula....
    Newaththath bohoma pin oyagoll hematam mata igena ganna udaw kalata...
    Mage prashnyata pilthuru bala poroththu wemi...
     

    07sanjeewakaru

    Well-known member
  • Feb 9, 2013
    5,527
    1,809
    113
    ලංකාවෙ අඩා...!

    X ..... Y ..... (X+Y)' .... (X'.Y')
    1 ..... 1 ........ 0 .......... 0
    1 ..... 0 ........ 0 .......... 0
    0 ..... 1 ........ 0 .......... 0
    0 ..... 0 ........ 1 .......... 1

    so,
    (X+Y)' = X'.Y'
    amaru eka sulu karala waguwa gahapn....
    eth meka hari ..!!;):yes:
     
    Last edited:
    Thanks okkolatama help ekata..
    Macho me mage BIT Exam eke Assignment eke Question ekkak....
    Matah awe oya uththrayama thama...
    Eth macahnla prashnaya..me MCQ eke answer walata tiyenne..
    a. X
    b. 1
    c. X.Y
    d. 0
    e. Y

    oya 5 answer eken ekkawath mata enne ne bun ekai awula....
    Newaththath bohoma pin oyagoll hematam mata igena ganna udaw kalata...
    Mage prashnyata pilthuru bala poroththu wemi...

    X != Y neh
    Assume that X=1; Y=0;
    (1+0)'=0
    ans = 0;
    (mata hithena widihata)
     

    mfdo90

    Well-known member
  • Jan 6, 2009
    1,160
    168
    63
    කෑප්ටන් Jack Sparrow;16213823 said:
    X != Y neh
    Assume that X=1; Y=0;
    (1+0)'=0
    ans = 0;
    (mata hithena widihata)

    "X != Y" Meka harida man hithanne waradi...
    Any way thanks macho