Aritmetica in base 3

Addizione 1

(121)3 + (122)3 = ?


       |   1     |  11      |  111     |  111
121 +  |  121 +  |  121 +   |   121 +  |   121 +
122 =  |  122 =  |  122 =   |   122 =  |   122 =
-----  |  -----  |  ------  |  ------  |  ------  
       |    0    |   20     |   020    |  1020

(121)3 + (122)3 = (1020)3


16 + 17
= 10+6 + 10+7
= 10+10 + 6+7
= 10+10+10 + 3
= 30 + 3
= 33

121 + 122
= 100+20+1 + 100+20+2
= 100+100 + 20+20 + 1+2
= 100+100 + 20+20+10
= 100+100+100 + 20
= 1000 + 20
= 1020

(121)3 + (122)3
= 9+6+1 + 9+6+2
= 9+9 + 6+6 + 1+2
= 9+9 + 6+6+3
= 9+9+9 + 6
= 27 + 6
= (1020)3


Addizione 2

(222)3 + (122)3 = ?


       |   1     |  11     |  111     |  111 
222 +  |  222 +  |  222 +  |   222 +  |   222 +
122 =  |  122 =  |  122 =  |   122 =  |   122 =
-----  |  -----  |  -----  |  ------  |  ------
       |    1    |   21    |   121    |  1121

(222)3 + (122)3 = (1121)3


26 + 17
= 20+6 + 10+7
= 20+10 + 6+7
= 20+10+10 + 3
= 40 + 3
= 43

222 + 122
= 200+20+2 + 100+20+2
= 200+100 + 20+20 + 2+2
= 200+100 + 20+20+10 + 1
= 200+100+100 + 20 + 1
= 1000 + 100 + 20 + 1
= 1121

(222)3 + (122)3
= 18+6+2 + 9+6+2
= 18+9 + 6+6 + 2+2
= 18+9 + 6+6+3 + 1
= 18+9+9 + 6 + 1
= 27 + 9 + 6 + 1
= (1121)3