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For a full adderSum= A, B, CCarry = A ⊕ B ⊕ CSum= A ⊕ B ⊕ CCarry = AB + BC + ACSum= AB ⊕ BC ⊕ CACarry = A, B, CSum= A ⊕ B ⊕ CCarry = A, B, CClear my choice

Question

For a full adder

Sum = A, B, C
Carry = A ⊕ B ⊕ C
Sum = A ⊕ B ⊕ C
Carry = AB + BC + A
Sum = AB ⊕ BC ⊕ C
Carry = A, B, C
Sum = A ⊕ B ⊕ C
Carry = A, B, C
Clear my choice

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Solution

To find the sum and carry values for a full adder, follow these steps:

  1. Start with the inputs A, B, and C (where A and B are the bits to be added, and C is the carry-in).

  2. Calculate the sum value by performing an XOR operation on A, B, and C. This can be represented as Sum = A ⊕ B ⊕ C.

  3. Calculate the carry value by performing an XOR operation on A and B, and then performing an AND operation on the result with C. This can be represented as Carry = (A ⊕ B) ∧ C.

  4. The final sum and carry values are given by Sum = A ⊕ B ⊕ C and Carry = (A ⊕ B) ∧ C, respectively.

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