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; Dec 9th 2008 at 02:50 AM.
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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 . (if a=1, then 1.b=1.c, so b=c)
2.) using a=0 from (1), a+b=a+c
Last edited by Greengoblin; Dec 9th 2008 at 03:40 AM.
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