From the expressions given below find the expressions that are in agreement with absorption law.
(a) A. (A+B)
(b) B’.(A+ B’)
(c) A+ (A’. A)
(d) C’ .(C+A)
(e) B.(B+B)
(f) B+(B+B)
(g) C’.(C’+D)
Answer:
Absorption law states that
- A.(A+B) = A
- A+(A.B) = A
Checking the options:
- (a) A. (A+B) - Satisfies absorption law
- (b) B’.(A+ B’) - Satisfies absorption law
- (c) A+ (A’. A) - Satisfies absorption law
- (d) C’ .(C+A) - Does not satisfy absorption law
- (e) B.(B+B) - Does not satisfy absorption law
- (f) B+(B+B) - Does not satisfy absorption law
- (g) C’.(C’+D) - Satisfies absorption law
Therefore, the options that are in agreement with absorption law are a, b, c, g.