3 bit Even parity generator can be implemented using__________a.2 XOR gates with 2 inputsb.1 XOR gates with 3 inputsc.Both (a) and (b)d.3 input NAND gate
Question
3 bit Even parity generator can be implemented using__________a.2 XOR gates with 2 inputsb.1 XOR gates with 3 inputsc.Both (a) and (b)d.3 input NAND gate
Solution 1
The correct answer is c. Both (a) and (b).
Step 1: Understanding the question The question is asking about the implementation of a 3-bit even parity generator. A parity generator is a digital logic circuit that generates the parity bit in the transmitter. The parity bit ensures that the total number of 1-bits in the string is even or odd.
Step 2: Understanding the options a. 2 XOR gates with 2 inputs: This means using two XOR gates, each with two inputs. b. 1 XOR gate with 3 inputs: This means using one XOR gate with three inputs. c. Both (a) and (b): This means that both options a and b can be used to implement a 3-bit even parity generator. d. 3 input NAND gate: This means using a NAND gate with three inputs.
Step 3: Choosing the correct answer The correct answer is c. Both (a) and (b). This is because a 3-bit even parity generator can be implemented using either two 2-input XOR gates or one 3-input XOR gate. The XOR gate is used because it gives a high output (1) if the number of high inputs is odd. Therefore, for even parity, if the number of 1s in the input is odd, the output is 1 (making the total count of 1s even). If the number of 1s in the input is even, the output
Solution 2
The correct answer is c. Both (a) and (b).
Step 1: Understanding the question The question is asking about the implementation of a 3-bit even parity generator. A parity generator is a digital logic circuit that generates the parity bit in the transmitter. The parity bit ensures that the total number of 1-bits in the string is even or odd.
Step 2: Understanding the options a. 2 XOR gates with 2 inputs: This means using two XOR gates, each with two inputs. XOR gate gives a '1' output if the number of '1' inputs is odd. So, two 2-input XOR gates can be used to generate even parity bit for 3 bits. The first XOR gate takes the first two bits and the second XOR gate takes the output of the first XOR gate and the third bit as inputs. b. 1 XOR gate with 3 inputs: This means using one XOR gate with three inputs. A 3-input XOR gate can also be used to generate even parity bit for 3 bits. The XOR gate gives a '1' output if the number of '1' inputs is odd. So, if the total number of '1' in the three inputs is odd, the output is '1' which makes the total number of '1' even. c. Both (a) and (b): This means that both the above methods can be used to implement a 3-bit even parity generator. d. 3 input NAND gate: A NAND gate cannot be used to implement a 3-bit even parity generator. A NAND gate gives a '0' output only if all its inputs are '1'. So, it cannot be used to check the parity of the bits.
Step 3: Choosing the correct option From the above explanation, it is clear that both 2 XOR gates with 2 inputs and 1 XOR gate with 3 inputs can be used to implement a 3-bit even parity generator. So, the correct answer is c. Both (a) and (b).
Solution 3
The correct answer is c. Both (a) and (b).
Step 1: Understanding the question The question is asking about the implementation of a 3-bit even parity generator. A parity generator is a digital logic circuit that generates the parity bit in the transmitter. The parity bit ensures that the total number of 1-bits in the string is even or odd.
Step 2: Understanding the options a. 2 XOR gates with 2 inputs: This means using two XOR gates, each with two inputs. b. 1 XOR gate with 3 inputs: This means using one XOR gate with three inputs. c. Both (a) and (b): This means that both options a and b can be used to implement a 3-bit even parity generator. d. 3 input NAND gate: This means using a NAND gate with three inputs.
Step 3: Choosing the correct answer The correct answer is c. Both (a) and (b). This is because a 3-bit even parity generator can be implemented using either two 2-input XOR gates or one 3-input XOR gate. The XOR gate is used because it gives a high output (1) if the number of 1's inputs is odd. This property makes it suitable for parity generation.
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