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Math Help - Boolean Algebra, prove that,

  1. #1
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    Boolean Algebra, prove that,

    Using postulates of Boolean Algebra, prove that,

    a b = a c does not necessarily imply b = c,
    a b = a c and a + b = a + c together imply b = c
    Last edited by VIKASjnp; December 9th 2008 at 03:50 AM.
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  2. #2
    Member Greengoblin's Avatar
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    1.) let a=0, then 0.b=0.c, so b=0, c=1 and b=1, c=0 are the two solutions such that b\ne c. (if a=1, then 1.b=1.c, so b=c)

    2.) using a=0 from (1), a+b=a+c \implies 0+b=0+c \therefore b=c
    Last edited by Greengoblin; December 9th 2008 at 04:40 AM.
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