Subelement E: Digital Logic— Topic 40: Counters, Dividers, Converters
Question 3-40E6
Element 3 (GROL)In binary numbers, how would you note the quantity TWO?
Explanation
Binary numbers operate on a base-2 system, meaning each digit can only be a 0 or a 1. Each position in a binary number represents a power of two, increasing from right to left.
For the quantity TWO:
* The rightmost digit represents 2^0 (which is 1).
* The second digit from the right represents 2^1 (which is 2).
* The third digit represents 2^2 (which is 4), and so on.
In option A) **0010**:
* The rightmost '0' represents 0 * 2^0 = 0 * 1 = 0.
* The second '1' from the right represents 1 * 2^1 = 1 * 2 = 2.
* The remaining '0's contribute nothing to the value.
Adding these together (0 + 2 + 0 + 0) gives a total of 2.
Options B) 0002, C) 2000, and D) 0020 are incorrect because they contain the digit '2'. By definition, binary numbers can only consist of '0's and '1's.
Related Questions
3-40E4 What integrated circuit device converts an analog signal to a digital signal?3-40E5 What integrated circuit device converts digital signals to analog signals?3-41F1 What is the limiting condition for sensitivity in a communications receiver?3-41F2 What is the definition of the term “receiver desensitizing”?3-41F3 What is the term used to refer to a reduction in receiver sensitivity caused by unwanted high-level adjacent channel signals?