The Mathematical Symbol "Nor (⊽)"

The "Nor" Symbol (⊽): Boolean Logic's Exclusive Disjunction

In the realm of logic and Boolean algebra, a variety of operators are used to express intricate relationships and operations. One such symbol is ⊽, commonly referred to as the "Nor" operator. This article aims to shed light on its utility, significance, and common applications.

Understanding the ⊽ Operator

The ⊽ symbol represents the "Nor" operation in Boolean algebra. It is the negation of the "or" operation, meaning it produces a true result only when both of its operands are false.

Example 1: Simple Boolean Operation

If we consider two Boolean variables, A and B, the expression \( A ⊽ B \) would yield 'true' only when both A and B are 'false'.

Example 2: Truth Table

| A | B | A ⊽ B |
| 0 | 0 |    1     |
| 0 | 1 |    0     |
| 1 | 0 |    0     |
| 1 | 1 |    0     |

The table shows that the "Nor" operation gives a 'true' (or 1) output solely when both inputs are 'false' (or 0).

Domains of ⊽ Application

The ⊽ operator is pivotal in various mathematical and technical areas:

  • Digital Electronics: Used in circuit design and simplification.
  • Logic and Mathematics: A fundamental operator in Boolean algebra.
  • Computer Programming: Employed in certain programming paradigms for logical operations.

Being able to represent the "Nor" operation concisely through the ⊽ symbol ensures efficient and unambiguous communication in technical discussions and designs.

To wrap up, the ⊽ symbol holds a crucial place in the mathematical lexicon, signifying the "Nor" operation. Its existence underscores the breadth and depth of symbolic representation in mathematics and logic.

Mathematical symbol 'Nor'

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Codes for the ⊽ Symbol

The Symbol
Alt CodeAlt 8893
HTML Code⊽
HTML Entity⊽
CSS Code\22BD
Hex Code⊽

How To Insert the ⊽ Symbol

(Method 1) Copy and paste the symbol.

The easiest way to get the ⊽ symbol is to copy and paste it into your document.

Bear in mind that this is a UTF-8 encoded character. It must be encoded as UTF-8 at all stages (copying, replacing, editing, pasting), otherwise it will render as random characters or the dreaded �.

(Method 2) Use the "Alt Code."

If you have a keyboard with a numeric pad, you can use this method. Simply hold down the Alt key and type 8893. When you lift the Alt key, the symbol appears. ("Num Lock" must be on.)

(Method 3) Use the HTML Decimal Code (for webpages).

HTML TextOutput
<b>My symbol: &#8893;</b>My symbol: ⊽

(Method 4) Use the HTML Entity Code (for webpages).

HTML TextOutput
<b>My symbol: &barvee;</b>My symbol: ⊽

(Method 5) Use the CSS Code (for webpages).

CSS and HTML TextOutput
span:after {
content: "\22BD";}
<span>My symbol:</span>
My symbol: ⊽

(Method 6) Use the HTML Hex Code (for webpages and HTML canvas).

HTML TextOutput
<b>My symbol: &#x22BD;</b>My symbol: ⊽
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x22BD to place the ⊽ symbol on your canvas. For example:
JavaScript Text
const x = "0x"+"E9"
ctx.fillText(String.fromCodePoint(x), 5, 5);

(Method 7) Use the Unicode (for various, e.g. Microsoft Office, JavaScript, Perl).

The Unicode for ⊽ is U+22BD. The important part is the hexadecimal number after the U+, which is used in various formats. For example, in Microsoft Office applications (e.g. Word, PowerPoint), do the following:
[Hold down Alt]
[Press x]

(The 22BD turns into ⊽. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u22BD. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u22BD"
document.write("My symbol: " + str)
My symbol: ⊽