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Consider the following statements associated with data representation by 1’s and 2‘s complements:

1. The 2’s complement system requires only one arithmetic operation.

2. The 1 ’s complement system requires two arithmetic operations.

3. The 1 's complement is often used in logical manipulations for inversion operation.

4. The 2 ’s complement is used only for arithmetic applications.


Which of the statements given above are correct?

  • a)
    1 ,3 and 4

  • b)
    1 , 2 , 3 and 4

  • c)
    2, 3 and 4

  • d)
    1,2 and 3

Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Consider the following statements associated with data representation ...
1, 3, and 4

Explanation:

1. The 2's complement system requires only one arithmetic operation: This statement is correct. In the 2's complement system, both addition and subtraction can be performed with the same operation (addition). To subtract, we simply add the 2's complement of the number to be subtracted.

2. The 1's complement system requires two arithmetic operations: This statement is incorrect. The 1's complement system also requires only one arithmetic operation (addition) for both addition and subtraction. However, in this system, an end-around carry might be needed for the final result.

3. The 1's complement is often used in logical manipulations for inversion operation: This statement is correct. The 1's complement can be used to invert the bits of a binary number (changing 0s to 1s and vice versa). This operation is useful for logical operations like bitwise NOT.

4. The 2's complement is used only for arithmetic applications: This statement is correct. The 2's complement representation is primarily used for arithmetic operations, such as addition and subtraction, as it simplifies the operations and eliminates the need for separate circuits for these operations.
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Community Answer
Consider the following statements associated with data representation ...
. Binary digits:

1. Binary digits, or bits, are the smallest units of data that can be represented in a computer.

2. Each binary digit can have one of two possible values, typically represented as 0 or 1.

3. By combining multiple bits together, larger units of data can be represented, such as bytes, kilobytes, and megabytes.

4. Computers use binary digits to represent all types of data, including text, images, and sound.

5. The number of bits used to represent a piece of data determines the maximum value that can be stored.

6. Binary digits are used in computer processors to perform calculations and manipulate data.

7. The concept of binary digits was first proposed by mathematician and philosopher Gottfried Leibniz in the late 17th century.

8. Binary digits are essential to the functioning of modern technology, from smartphones to supercomputers.
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Consider the following statements associated with data representation by 1’s and 2‘s complements:1. The 2’s complement system requires only one arithmetic operation.2. The 1 ’s complement system requires two arithmetic operations.3. The 1 s complement is often used in logical manipulations for inversion operation.4. The 2 ’s complement is used only for arithmetic applications.Which of the statements given above are correct?a)1 ,3 and 4b)1 , 2 , 3 and 4c)2, 3 and 4d)1,2 and 3Correct answer is option 'A'. Can you explain this answer?
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