Saturday, 16 May 2020

Computer Studies For Class IX (Science) and X (Arts /General /Humanities Group) - Unit 6 -Videos Expalanations- By Sir Moin

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Chapter No.6: Boolean Algebra
Videos Expalanations

By Sir Moin

Note: Double Click to play video

 Boolean Algebra Rule # 10


Rule 10: A + A.B = A

Proof:
This rule can be proved by applying the distributive law, rule 2 and rule 4 as follows.
A + B = A(1 + B) Factoring A (Distributive law)
= A.1Rule 2: B + 1 = 1
= ARule 4: A.1= A
The proof is shown in the Truth table.
 BA.B  A + A.B
0000
0100
1001
1111

|-------------------------------------Equal-----------------------------------|



 Boolean Algebra Rule # 11


Rule 11: A + A.B = A + B

Proof:
This rule can be proved as.
A + A.B = (A + A.B) + A.B Rule 10: A = A + A.B
  = (AA + AB) + AB Rule 6: A = AA

= AA + AB + AA + AB Rule 8: Adding AA = 0
  = (A +  A) (A + B) Factoring
  = 1 . (A + B) Rule 7: A + A= 1
  = (A + B) Rule 4: Drop 1
The proof is shown in the Truth table.
ABABA + ABA + B
00000
01111
10011
11011

|--------Equal-----|             






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