Question
Download Solution PDFAt what value of n will the number 4n be zero
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation -
1) n = 2:
In base-2 (binary), the symbol '4' is invalid because in binary representation, only the digits 0 and 1 are used.
Therefore, "4" in base-2 does not exist, and it cannot be equal to zero.
2) n = 0:
If 'n' were equal to 0, it wouldn't represent a valid base. Bases are typically positive integers, and a base of 0 doesn't conform to the conventions of number bases.
3) There is no such number 'n':
This option is stating that there's no base 'n' for which the number 4n equals zero.
It implies that there isn't a base in which '4' as a digit would signify the value zero.
4) n = ∞ : 'Infinity' (∞) isn't a valid base in the context of number systems. Bases are finite positive integers, used to represent numbers in different positional numeral systems.
Therefore the correct answer is "There is no such number n"
Last updated on Jan 29, 2025
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