sp25-math240 math240
Chapter 5: Boolean Algebra Chapter 5: Boolean Algebra
Content locked
The catalog is public. Reading this content requires approved access.
Sign in to readChapter 5: Boolean Algebra
5.1 An introduction to Boolean algebra
Example 5.1.1: Shannon and switching circuits.
PARTICIPATION ACTIVITY
Animation content:
Animation captions:
PARTICIPATION ACTIVITY
CHALLENGE ACTIVITY
5.1.1: Evaluating Boolean expressions.
Start
PARTICIPATION ACTIVITY
Animation content:
Animation captions:
PARTICIPATION ACTIVITY
PARTICIPATION ACTIVITY
Terminology 5.1.1: A word about the words Boolean Algebra.
Additional exercises
EXERCISE
EXERCISE
EXERCISE
5.2 Boolean functions
Animation content:
Animation captions:
PARTICIPATION ACTIVITY
CHALLENGE ACTIVITY
5.2.1: Write in sum-of-minterms form.
Additional exercises
EXERCISE
EXERCISE
EXERCISE
EXERCISE
5.3 Disjunctive and conjunctive normal form
PARTICIPATION ACTIVITY
PARTICIPATION ACTIVITY
Additional exercises
EXERCISE
EXERCISE
5.4 Functional completeness
PARTICIPATION ACTIVITY
Animation content:
Animation captions:
PARTICIPATION ACTIVITY
PARTICIPATION ACTIVITY
PARTICIPATION ACTIVITY
EXERCISE
EXERCISE
EXERCISE
EXERCISE
EXERCISE
5.5 Boolean satisfiability
PARTICIPATION ACTIVITY
Animation content:
Animation captions:
Boolean satisfiability: DNF and CNF expressions
PARTICIPATION ACTIVITY
Animation content:
Animation captions:
PARTICIPATION ACTIVITY
PARTICIPATION ACTIVITY
Using SAT to express a scheduling problem
PARTICIPATION ACTIVITY
Variable assignments representing valid schedules
PARTICIPATION ACTIVITY
Constructing a Boolean expression to model the scheduling problem
Classes:
Constraints:
Animation content:
Animation captions:
PARTICIPATION ACTIVITY
Additional exercises
EXERCISE
EXERCISE
EXERCISE
EXERCISE
5.6 Gates and circuits
Input variables
Output of circuit
Animation content:
Animation captions:
PARTICIPATION ACTIVITY
Describing a function using a circuit
Animation content:
Animation captions:
PARTICIPATION ACTIVITY
Animation content:
Animation captions:
PARTICIPATION ACTIVITY
Animation content:
Animation captions:
Designing circuits
PARTICIPATION ACTIVITY
Reset
PARTICIPATION ACTIVITY
Reset
CHALLENGE ACTIVITY
Start
Additional exercises
EXERCISE
EXERCISE
Source