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Whats  12121 (base 3) multiplied by 1222 (still base 3) in base 3

I really can't remember how to do multiplication in bases so *whelp*

 May 22, 2023
 #1
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+4

To multiply the numbers 12121 (base 3) and 1222 (base 3) in base 3, we can perform the multiplication as we would with decimal numbers, but considering the base 3 digits.

 

1 2 2 2 <- Multiplicand (1222) × 1 2 1 2 <- Multiplier (12121) ______________ 2 2 2 2 <- Partial product (1222) + 2 2 2 2 0 <- Partial product (1222, shifted 1 place to the left) + 1 2 2 2 0 0 <- Partial product (1222, shifted 2 places to the left) + 1 2 2 2 0 0 0 <- Partial product (1222, shifted 3 places to the left) _______________ 1 1 2 2 0 2 0 <-

 

Therefore, the product of 12121 (base 3) and 1222 (base 3) in base 3 is 1122020.

 May 22, 2023
 #2
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+5

Like this:

 

 May 22, 2023

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