Which statement is true about the first octal place?

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In the octal number system, which is base 8, each place value represents a power of 8. The first octal place, which is the farthest right in an octal number, corresponds to 8 raised to the power of 0. This is consistent with the positional notation used in numeral systems, where the rightmost digit represents the base raised to the zero power, which equals 1.

Thus, for an octal number, the first place value can be expressed as:

  • First octal place: 8^0 = 1

This means that the value of this position contributes proportionally to the overall value of the octal number, depending on the digit present in that place. As such, stating that the first octal place represents 8^0 is accurate and aligns with the principles of numeral systems.

The other options refer to incorrect powers for the first position. The second option indicates 8^2, which represents the third place in an octal number, while the first option suggests 8^1, which corresponds to the second position. The last option of 8^-1 refers to a fractional place, which does not apply to the first positional value in the octal system.

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