Question 3 - 1 Mark Questions - Chapter 12 Class 11 - Boolean Algebra

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.