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.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.