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Logical Circuits

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



Identity

Introduction

The identity gate has only one input and one output. The value of the output is equal to the input.

Example

During a competition participants can win a price, if they can reach a certain score.

• Possibility 1: participant cannot reach the score, no price
• Possibility 2: participant reaches the score, winner

participant reaches the score	won the price
True	True
False	False

Truth Table

A	Z
1	1
0	0

Functional Equation

Electronic Symbol

Exercises

verbal propositional calculus:

Claim: Everybody, who works for a company longer than 5 years, will get a Christmas bonus.

Employee Nico works for the company for 3 years, he will get the bonus. ________. false
Employee Dana is a part of the company for longer than 10 years, she will get the bonus. _________. true

Specials

The identity gate can be built - like all other gates - from NAND gates:
A = (A NAND A) NAND (A NAND A)