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theelder · Jan 28, 2012, 12:24 PM

From my calculation it should be 383. But apparently it's wrong.

Aurora2000 · Jan 29, 2012, 06:38 AM

You have done computations correctly, but the representation in base 8 is wrong.

45 in base 8 is $4\times 8+5$ , thus 37 in base 10; 7 in base 8 is the same as in base 10, thus $45\times 7$ in base 8 is equivalent to $37\times 7= 259$ in base 10. Finally, you have $259=4\times 8^2+0\times 8+3\times 8^0$ , thus in base 8 it is $45\times 7=403$ .

Notice that 383 in base 8 does not exists, as digits available are from 0 to 7; 8 in base 8 is 10, thus 383 becomes 403.