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Table 2 Two-input binary logic gates

From: In-silico design of computational nucleic acids for molecular information processing

Line

   

 Input state

 

A

1

0

1

0

 

B

1

1

0

0

 

Operation

   

 Output state

Name

Symbolic

A ∘1B

0

0

0

0

 

0

A ∘2B

0

0

0

1

NOR

A â—‡ B

A ∘3B

0

0

1

0

  

A ∘4B

0

0

1

1

NOT B

¬ B

A ∘5B

0

1

0

0

  

A ∘6B

0

1

0

1

NOT A

¬ A

A ∘7B

0

1

1

0

XOR

 

A ∘8B

0

1

1

1

NAND

A ∣ B

A ∘9B

1

0

0

0

AND

A ∧ B

A ∘10B

1

0

0

1

Equivalence

A ⇔ B

A ∘11B

1

0

1

0

 

A

A ∘12B

1

0

1

1

  

A ∘13B

1

1

0

0

 

B

A ∘14B

1

1

0

1

Implication

A ⇒ B

A ∘15B

1

1

1

0

OR

A ∨ B

A ∘16B

1

1

1

1

 

1

  1. Two-input binary logic gates.