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Prove the equations A + A‾ .B + A.B‾ = A + B using the Boolean algebraic theorems ?
Ans. The equation is A + A‾.B + A.B‾ = A + BL.H.S. = A + A‾ .B + A.B‾= (A + A.B‾) + A‾.B= A (1+ B‾) + A‾.B= A + A‾ .B (? 1+B‾ =1)= (A +A‾ ) (A + B)= (A + B) (? A + A‾ = 1)= R.H.SThus Proved
Why some languages are not decidable or even Turing - recognizable? The reason that there are uncountable many languages yet only countably many Turing machines.
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The decimal equivalent of Binary number 11010 is ? Ans. 11010 = 1 X 2 4 + 1 X 2 3 + 0 X 2 2 + 1 X 2 1 = 26.
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