To answer this question, let's go through each option to understand why it is correct or incorrect:
Option A) Positive number - This option is correct. The least significant bit (LSB) of a binary number represents the rightmost bit or the bit in the ones place. If the LSB is "0", it means that the number is divisible by 2 and therefore an even number. However, since the question specifically mentions that the number is positive, we can conclude that it is a positive even number.
Option B) Even number - This option is incorrect. While it is true that a binary number with a "0" LSB is an even number, the question asks specifically for a positive number, not just any even number.
Option C) Odd number - This option is incorrect. Since the LSB is "0", it means that the number is divisible by 2 and therefore an even number. It cannot be an odd number.
Option D) Prime number - This option is incorrect. The question does not provide any information about the primality of the number. The LSB being "0" does not provide any information about whether the number is prime or not.
The correct answer is A) Positive number. This option is correct because if the LSB of a binary number is "0", it means that the number is an even number, and since it is specified to be positive, it is a positive even number.