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:
Evaluate:
Hence 6_{8} × 23_{8} = 162_{8} |
6 × 3 = 18 18/8 = 2 with remainder 2 → l,s,d, 6 × 2 = 12 + 2 (carry) = 14 14/8 = 1 with remainder 6. |
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