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⊛

circled asterisk operator

Circled Asterisk Operator

The circled asterisk ⊛ is an operator whose meaning depends on the notation around it. In signal processing, one documented use is circular convolution: combining two finite sequences with the end wrapped back to the beginning.

Text symbol
Search it as
circled asterisk meaning · circledast · circular convolution symbol
Shows up in
Anything that takes text · its shape is whatever your font draws

What ⊛ means

The surrounding notation defines the operation.

One signal-processing use is circular convolution. Check the formula’s key or nearby definition to tell whether that is intended here; the glyph alone does not identify the operation.

Don't confuse it with

4

Combination ideas

1
Circular convolution of f and g, when the surrounding notation defines ⊛ that way.

Questions people ask

1

Why does ⊛ show as a box on some devices?

Because that device's fonts have no glyph for it. The character is still correct and still copies correctly — the box is a missing glyph, not a broken character.

How to type ⊛

Windows (Word)
Alt+XType 229B, then Alt+X to get ⊛.
Windows
Win+Rrun charmap for the full table, or use the emoji picker's Ω symbols tab (Win + .).
macOS
Control+Command+SpaceOpen the character viewer and search “circled asterisk operator”.
Linux
Ctrl+Shift+UType 229b, then Enter or Space.
HTML
⊛
CSS
\229B
Julia 1.x REPL
In the Julia 1.x REPL (its interactive prompt), type `\circledast` and press Tab.
Codes and encoding1 code points
HTML decimal
⊛
HTML hex
⊛
CSS content
content: "\229B";
Each escape is closed by the next backslash; a trailing space is needed before a literal hex digit.
URL encoded
%E2%8A%9B
1
On screen
1
Code points
1
JS .length
3
UTF-8 bytes

A visible symbol can contain several code points. JS .length counts UTF-16 units; UTF-8 counts bytes.

Families this belongs to

2

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