Thank you all for these suggestions! I think I'll be playing with the  ( <" 
2 1 2 1 "> _b 3 )= ; 70 and see how that will bring me.

Bests
Kunhao
在2021年5月2日星期日 UTC+2 上午3:17:46<David A. Wheeler> 写道:

> On May 1, 2021, at 10:01 AM, 'Alexander van der Vekens' via Metamath <
> [email protected]> wrote:
> > we would get ( <" 2 1 2 1 "> _b 3 )= ; 70, which seems to be a quite 
> good and natural representation.
>
> +1, I agree, that’s really clean.
>
> > That means 
> > _b = ( n e. Word ( 0 ..^ b ) , b e. NN |-> sum_ k e. dom n ( ( ( reverse 
> ` n ) ` k ) x. ( b ^ k ) ) ) 
>
> That seems like a nice higher-level definition.
>
> I can easily imagine a number of general-purpose theorems building on this 
> notation.
>
> --- David A. Wheeler
>
>

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