In the octal number system, multiplying a number by 8 adds a 0 to the end of the number. True or False?
Understand the Problem
The question is asking whether multiplying a number by 8 in the octal number system is equivalent to adding a 0 to the end of the number, similar to multiplying by 10 in the decimal system.
Answer
True
True. In the octal number system, multiplying a number by 8 is equivalent to adding a 0 to the end of the number, similar to multiplying by 10 in the decimal system.
Answer for screen readers
True. In the octal number system, multiplying a number by 8 is equivalent to adding a 0 to the end of the number, similar to multiplying by 10 in the decimal system.
More Information
The octal number system is base 8, so each digit represents a power of 8. When you multiply an octal number by 8, you're essentially shifting all the digits one place to the left, which is the same as adding a 0 to the end.
Tips
A common mistake is thinking this rule only applies to the decimal system. It applies to all base number systems.
Sources
- zeroes appended at the end of a number when it is multiplied by - math.stackexchange.com
- Octal Number System (Definition, Chart, Octal to Binary) - BYJU'S - byjus.com
- Octal Number System: Definition, Conversion, Table, Examples - splashlearn.com
AI-generated content may contain errors. Please verify critical information
