Question

State the distributive laws of boolean algebra. How do they differ from distributive laws of ordinary algebra? ​

Answer 1

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DISTRIBUTIVE LAW OF BOOLEAN ALGEBRA SAYS THAT

• X(X+Z)=XY+XZ
• X+YZ=(X+Y)(X+Z)

1st law X(X+Y)= XY+XZ holds good for all values of X,Y and Z in ordinary algebra whereas X+YZ=(X+Y)(X+Z) holds only for two values (0,1) for X,Y and Z.

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Answer 2

Answer:

Distributive laws of Boolean algebra state that (i) X(Y + Z) = XY + XZ (ii) X + YZ = (X + Y)(X + Z) 1st law X(Y + Z) = XY + XZ holds good for all values of X, Y and Z in ordinary algebra whereas X + YZ = (X + Y)(X + Z) holds good only for two values (0, 1) of X, Y and Z.