Question:

Which of the following is NOT a binary number?

Show Hint

A number can only belong to a base-$N$ number system if all of its individual digits are strictly less than $N$.
  • 001
  • 010
  • 011
  • 012
Show Solution
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The Correct Option is D

Solution and Explanation

Step 1: Understanding the Concept:
The binary number system (base-2) is a positional numeral system that represents numeric values using only two unique symbols: 0 and 1.

Step 2: Detailed Explanation:

Let us evaluate each option:
- (A) 001: Consists only of digits 0 and 1, which are valid binary digits.
- (B) 010: Consists only of digits 0 and 1, which are valid binary digits.
- (C) 011: Consists only of digits 0 and 1, which are valid binary digits.
- (D) 012: Contains the digit '2', which is not a valid symbol in a binary (base-2) system.
Therefore, 012 is not a binary number.

Step 3: Final Answer

The correct option is (D).
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