Software © (2015) John Wayland Bales under the GNU General Public LicenseThose who are unfamiliar with postfix (reverse Polish) calculation may consult the Wikipedia article.
Please read the notice about the numbering of basis vectors below.
Important notice about the numbering of unit basis vectors
The basis vectors satisfy \(e_{2p}=(e_p,0)\) and \(e_{2p+1}=(0,e_p)\).
This differs from traditional numbering.
To translate between numbering systems, write the basis vector subscripts in reverse-binary order.
For sedenions \(e_3=e_{0011}\to e_{1100}=e_{12}\) in traditional numbering.
For octonions (using only \(e_0\) to \(e_7\)), \(e_3=e_{011}\to e_{110}=e_{6}\) in traditional numbering.
For quaternions \(e_3=e_{11}\to e_{11}=e_3\) but \(e_1=e_{01}\to e_{10}=e_2\).
John Wayland Bales, Department of Mathematics (Retired), Tuskegee University, Tuskegee, AL 36088 USA
Contact me by email for questions about the calculator.