multiply 354 by 463 in base eight?

Josh47

5 years ago

In multiplication of octal numbers a simple rule for
multiplication of two digits in any radix is to multiply them in
decimal. If the product is less than the radix, then we take it
as the result. If the product is greater than the radix we divide
it by the radix and take the remainder as the least significant
digit. The quotient is taken as carry in the next significant
digit.
For example, (3) 4 × (1) 4 = (3) 4 but (3) 4 × (2) 4 = (12) 4 since 3
× 2 = 6 is decimal and division of 6 by 4 has the remainder 2
and quotient 1.
To multiply two octal numbers we use the rule given above.
The process for multiplication of octal numbers is illustrated
with the help of the following examples: