How To Calculate A Base5 Multiplication...

[transgalactic]

i have two 3 bit numbers and i need to calculate their resolt in base 5

how to do that???

 

[john1]

Hi,

This is a most unusual request.
Base-5 is also known as Quinary.

https://en.wikipedia.org/wiki/Base_5

Short extract:

Quinary (base-5) is a numeral system with five as the base. This originates from the five fingers
on either hand.

In the quinary place system, five numerals from 0 to 4, are used to represent any real number.
According to this method, five is written as 10, twenty-five is written as 100 and sixty is written
as 220.

Many languages[1] use quinary number systems, including Gumatj, Nunggubuyu,[2], Kuurn Kopan Noot[3]
and Saraveca. Of these, Gumatj is the only true "5-25" language known, in which 25 is the higher
group of 5.

It is so unusual that i am tempted to think the poster has made a mistake.

However, as a straight answer,
i would convert the two numbers from base 5 into normal decimal,
do the multiplication,
then convert the result back into base 5.

But if you wish do the mathematics using base 5,
i am not at all sure that its possible in the accepted way,
that is columns and rows.
Some of these counting methods, like Roman numbering,
may look nice, but do not lend themselves to mathematical arrangements.

Suggest you investigate biquinary, as mentioned in Wikipedia.

Regards, John