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# Gates

Unified notation and clarification representing numerical systems with different bases.

### Purpose

Handy symbolic clarification of numerical expression in all numerical system. Gate is simply the base of the numerical system.

### Gate notation

$n[g]$
denotes a gate. In decimal system gate is denotes as
$n[5*2]$
. Using polish reverse notation
$n[2*2+1*2]$
.
$n[*+*]$
is a gate of decimal numeric system. I'll later describe in more detailed way, how to convert from standard notation being something like
$10^n$
into presented here, gated notation.
$\overline{g}(...)$
is a gating function, or glueing function. It takes arguments, and glues them with the assigned gate.
$ǥ:= n[*+*] | \overline{g}(a,b,...)$
denotes a gating function, with a gate for decimal numerical system.

### Example

$ǥ(1,2,3) = 123_{10}$

### TODO

• Operator language