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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
Minimize the following logic function using K-maps and realize using NAND and NOR gates. F(A,B,C,D) =?_m(1,3,5,8,9,11,15) + d(2,13).
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