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Step-by-step explanation:
Converting octal to decimal can be done with repeated division.
Start the decimal result at 0.
Remove the most significant octal digit (leftmost) and add it to the result.
If all octal digits have been removed, you’re done. Stop.
Otherwise, multiply the result by 8.
Go to step 2.
Octal Digits Operation Decimal Result Operation Decimal Result
345 +3 3 × 8 24
45 +4 28 × 8 224
5 +5 229 done.
The conversion can also be performed in the conventional mathematical way, by showing each digit place as an increasing power of 8.
345 octal = (3 * 82) + (4 * 81) + (5 * 80) = (3 * 64) + (4 * 8) + (5 * 1) = 229 decimal
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