Question 26.25: Illustrate associative law of (i) addition and (ii) multipli...
Illustrate associative law of (i) addition and (ii) multiplication as applied to Boolean algebra.
(i) The associative law of addition states that in the ORing of several variables, the result is the same regardless of the grouping of the variables. This law for the addition of the three variables A, B and C can be written as:
A + (B + C) = (A + B) + C
Fig. 26.43. illustrates this law as applied to OR gates.
(ii) The associative law of multiplication states that it makes no difference in what order the variables are grouped when ANDing several variables. This law for the multiplication of the three variables A, B and C can be written as :
A (BC) = (AB)C
Fig. 26.44 illustrates this law as applied to AND gates.
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