Digit Math: Introduction
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You have used : xωy×aωb=axω(ax+by)ωby . But it seems it should be : xωy×aωb=axω(ay+bx)ωby.
Example data : 12×13 = 156
axω(ax+by)ωby gives 1*1w(1*1+3*2)w3*2 = 176
axω(ay+bx)ωby gives 1*1w(1*2+3*1)w3*2 = 156.
Can you extend this w operator for multiplication for larger number like 123456787*623545634.
Good catch! That was typo. I have corrected it now.
You can use it to multiply any number. Just make sure to partition the numbers into two equal digit groups. So, for you case it can be 01234ω56787 * 06235ω45634. All now have 5 digits each.