Test: Fast Adders - Computer Science Engineering (CSE) MCQ

Answer: a
Explanation: The logic operation include AND, OR, XOR etc.

Answer: c
Explanation: The combinatorial circuits means, using the basic universal gates.

Answer: b
Explanation: In this the carry for the next step is generated in the previous steps operation.

Answer: b
Explanation: The carry must pass through the configuration of the circuit till it reaches the particular step.

Answer: c
Explanation: sum = a ^ b ^ c (‘^’ indicates XOR operation).

Answer: b
Explanation: In case of full and half adders this method is used.

Answer: b
Explanation: The overflow is detected by cn^cn-1 (‘^’ indicates XOR operation).

Answer: a
Explanation: The 2n delay cause of the carry generation and the 2 delay cause of the XOR operation.

To calculate the sum of $0110$ (6 in decimal) and $0110$ (6 in decimal), we use binary addition.

$$0110 + 0110$$

Perform the addition bit by bit:

1. Add the rightmost bits (0 + 0): Result = 0, Carry = 0.
2. Add the next bits (1 + 1): Result = 0, Carry = 1.
3. Add the next bits (1 + 1 + 1) (include the carry): Result = 1, Carry = 1.
4. Add the leftmost bits (0 + 0 + 1) (include the carry): Result = 1, Carry = 0.

The result is:

$$1100 \, \text{(binary)} = 12 \, \text{(decimal)}.$$

Final Answer:

$$\boxed{1100}$$