Question

In: Computer Science

An operation * is defined for two-valued variables a and b as follows: a*b = ab+a’b’

An operation * is defined for two-valued variables a and b as follows:     a*b = ab+a’b’

Let c = a*b. Determine which of the following identities are valid:

  • a = b*c

  • a*(bc) =1

Solutions

Expert Solution

(a)

( since )

( since and   )

( since )

( since x + x' = 1 )

a = a

Hence it is true.

(b)

Hence, it is not true.

venereology answered 2 years ago
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