base 5, 6, 7 etc mult charts

[kelly2000]

I need help understanding how to build base 5, 6, 7 etc multiplication charts

[Denis]

Example please...

[BigGlenntheHeavy]

[tex]base \1 \ (binary) \ \implies \ 0,1,10,11,100,101,110,111,1000, \ to \ eight \ in \ base \ 10.[/tex]

[tex]base \ 5 \ \implies \ 0,1,2,3,4,10,11,12,13,14,20,21,22,23,24,30,... \ to \ 15 \ in \ base \ 10.[/tex]

[tex]The \ rest \ should \ be \ self-explanatory.[/tex]

[soroban]

Hello, kelly2000!

I need help understanding how to build base 5, 6, 7 etc multiplication charts.

Exactly what don't you understand?

If you know how to write numbers in base-five, just construct the multiplication chart.

For example: .[tex]3_5 \times 4_5 \:=\:22_5[/tex]


Then we have:

. . [tex]\begin{array}{c||c|c|c|c|c||} \times & 0 & 1 & 2 & 3 & 4 \\ \hline \hline 0 & 0 & 0 & 0 & 0 & 0 \\ \hline 1 & 0 & 1 & 2 & 3 & 4 \\ \hline 2 & 0 & 2 & 4 & 11 & 13 \\ \hline 3 & 0 & 3 & 11 & 14 & 22 \\ \hline 4 ^& 0 & 4 & 13 & 22 & 31 \\ \hline\end{array}[/tex]