I need help understanding how to build base 5, 6, 7 etc multiplication charts
K kelly2000 New member Joined Nov 7, 2010 Messages 1 Nov 7, 2010 #1 I need help understanding how to build base 5, 6, 7 etc multiplication charts
B BigGlenntheHeavy Senior Member Joined Mar 8, 2009 Messages 1,577 Nov 8, 2010 #3 \(\displaystyle base \1 \ (binary) \ \implies \ 0,1,10,11,100,101,110,111,1000, \ to \ eight \ in \ base \ 10.\) base 5 ⟹ 0,1,2,3,4,10,11,12,13,14,20,21,22,23,24,30,... to 15 in base 10.\displaystyle base \ 5 \ \implies \ 0,1,2,3,4,10,11,12,13,14,20,21,22,23,24,30,... \ to \ 15 \ in \ base \ 10.base 5 ⟹ 0,1,2,3,4,10,11,12,13,14,20,21,22,23,24,30,... to 15 in base 10. The rest should be self−explanatory.\displaystyle The \ rest \ should \ be \ self-explanatory.The rest should be self−explanatory.
\(\displaystyle base \1 \ (binary) \ \implies \ 0,1,10,11,100,101,110,111,1000, \ to \ eight \ in \ base \ 10.\) base 5 ⟹ 0,1,2,3,4,10,11,12,13,14,20,21,22,23,24,30,... to 15 in base 10.\displaystyle base \ 5 \ \implies \ 0,1,2,3,4,10,11,12,13,14,20,21,22,23,24,30,... \ to \ 15 \ in \ base \ 10.base 5 ⟹ 0,1,2,3,4,10,11,12,13,14,20,21,22,23,24,30,... to 15 in base 10. The rest should be self−explanatory.\displaystyle The \ rest \ should \ be \ self-explanatory.The rest should be self−explanatory.
S soroban Elite Member Joined Jan 28, 2005 Messages 5,586 Nov 13, 2010 #4 Hello, kelly2000! I need help understanding how to build base 5, 6, 7 etc multiplication charts. Click to expand... Exactly what don't you understand? If you know how to write numbers in base-five, just construct the multiplication chart. For example: .35×45 = 225\displaystyle 3_5 \times 4_5 \:=\:22_535×45=225 Then we have: . . \(\displaystyle \begin{array}{c||c|c|c|c|c||} \times & 0 & 1 & 2 & 3 & 4 \\ \hline \hline 0 & 0 & 0 & 0 & 0 & 0 \\ \hline 1 & 0 & 1 & 2 & 3 & 4 \\ \hline 2 & 0 & 2 & 4 & 11 & 13 \\ \hline 3 & 0 & 3 & 11 & 14 & 22 \\ \hline 4 ^& 0 & 4 & 13 & 22 & 31 \\ \hline\end{array}\)
Hello, kelly2000! I need help understanding how to build base 5, 6, 7 etc multiplication charts. Click to expand... Exactly what don't you understand? If you know how to write numbers in base-five, just construct the multiplication chart. For example: .35×45 = 225\displaystyle 3_5 \times 4_5 \:=\:22_535×45=225 Then we have: . . \(\displaystyle \begin{array}{c||c|c|c|c|c||} \times & 0 & 1 & 2 & 3 & 4 \\ \hline \hline 0 & 0 & 0 & 0 & 0 & 0 \\ \hline 1 & 0 & 1 & 2 & 3 & 4 \\ \hline 2 & 0 & 2 & 4 & 11 & 13 \\ \hline 3 & 0 & 3 & 11 & 14 & 22 \\ \hline 4 ^& 0 & 4 & 13 & 22 & 31 \\ \hline\end{array}\)