Comparator

logic-circuits

Definition

Comparator

A comparator is a logical circuit that takes two inputs $A,B$ and compares them. There are different types of comparators.

Types

Equality

Let $A,B$ be numbers, then:

$$A=B⟺\overline{A\oplus B}$$

¹

Signed Less Than

Let $A,B$ be numbers, then:

$$A<B⟺A-B\text{ is negative}$$

¹

Footnotes

1. DDCA Ch5 - Part 6: Subtractors & Comparators - YouTube ↩ ↩²