liveBook · Manning

Logical AND operator

As explained in Math and Architectures of Deep Learning

A binary logical operation that outputs true only when both inputs are true.

The logical AND operator combines binary inputs, each valued 0 (no) or 1 (yes). It outputs 1 only when every input is 1; otherwise it outputs 0. In a larger system, an AND machine can combine decisions produced by separate detectors or classifiers. section 7.2.1

A cat reacting to hardness and sharpness

Suppose one detector reports whether an object is hard and another reports whether it is sharp. A less timid cat runs away only when both detectors output 1. Hardness alone or sharpness alone does not trigger the response. section 7.2.1

How Math and Architectures of Deep Learning covers it

How deep it goes
Defines binary inputs and the both-conditions interpretation, then illustrates system composition without deriving implementation details.
Examples
Uses hardness and sharpness detectors feeding a cat’s decision to run away.
What it assumes
Assumes only binary variables and teaches the both-inputs-required interpretation from that basis.
What you can do after
Evaluate binary decision systems that require multiple conditions to hold simultaneously.
How it connects
Connects logical AND with logical OR, logical NOT, logical XOR, detectors, classifiers, and function approximation.
Cover of Math and Architectures of Deep Learning
liveBookmanning.com
Read Math and Architectures of Deep Learning on liveBook Get the book at manning.com

Also explained in

Compare how 7 books explain logical AND operator →

Related concepts

This explainer was generated by Manning's knowledge graph from the text of Math and Architectures of Deep Learning. The section links point to the parts of the book it draws on.