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Logical Circuits

• Fundamentals
  • Propositional calculus
  • Semiconductors
  • MOSFETs
  • CMOS
• Circuits
  • Identity
  • NOT
  • AND
  • NAND
  • OR
  • XOR
  • XNOR
• Credits
• Sources

AND (Conjunction)

Introduction

The AND gate has two AND-combined input terminals.
If both input terminals are true, the output will also be true.
This means that the output Z will be HIGH (1), if input-terminal A and input-terminal B are HIGH (1). Otherwise the output Z will be LOW (0).

Example

claim: You are a man and I am a man.
(If both you and I are men, the claim will be true. It will be false, if at least one of us is not a man.)

If...	the claim will be...
no one is a man,	False
I'm a man,	False
you're a man,	False
we noth are men,	True

claim (Z) = You (A) and me (B) are men.

A	B	Z
No man.	No man.	False
No man.	Man.	False
Man.	No man.	False
Man.	Man.	True

Z = You AND me are men.
1: We're men / true
0: At most one of us is a man / false

Truth table

Z = A AND B

A	B	Z
0	0	0
0	1	0
1	0	0
1	1	1

Functional equation

Electronic Symbol

Exercises

claim: Lisa and Tina both swim in the swimming pool .

If Tina swims in the swimming pool and Lisa eats ice cream at the café, the claim will be __________.
false
If Tina swims on the left side and Lisa swims on the right side of the swimming pool, the claim will be __________.
true

Specials

It is possible to build this gate just from NAND gates:

CMOS implementation