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KwickClips Computer Systems · 46 sec · free

What is A + A.B?

Short answer. A, by the absorption law.

What is A + A?

A, by idempotence.

Boolean laws

LawExampleResult
IdentityA+0, A.1A
IdempotenceA+AA
DistributiveA.(B+C)A.B+A.C
AbsorptionA+A.BA

Remember

Commutative: order free
Associative: grouping free

Six Boolean laws. Can you spot each one? Here are four. Identity: zero or one leaves A. Idempotence: A plus A is A. Distributive opens brackets. Absorption: A swallows A dot B. Two more. Order does not matter. Grouping does not matter.

This clip is from the full lesson: Boolean Algebra: Laws and Theorems — 8 minutes, with the tables, the quick answers and the whole lesson in text.

Useful for: CBSE Class 11 Computer Science (083), CBSE Class 11 Computer Science Essentials (083), ISC Class 12 Computer Science (868), ISC Class 12 Computer Science (868)

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