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The system in which five is represented as 101 is the binary numeral system. In binary, each digit represents a power of 2, with the rightmost digit being 2^0, the next 2^1, and so on. Therefore, in the binary number 101, the calculation is 1×2^2 + 0×2^1 + 1×2^0, which equals 4 + 0 + 1, resulting in 5 in decimal.

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What is the system in which five is written 101?

The system in which five is written as 101 is the binary numeral system. In binary, each digit represents a power of 2, so 101 translates to (1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0), which equals 4 + 0 + 1, resulting in the decimal number 5.


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