###### UGC NET CS 2007 June-Paper-2

October 13, 2023###### Digital-Logic-Design

October 13, 2023# UGC NET CS 2007 June-Paper-2

Question 9 |

If A⊕B=C , then :

A ⊕ C = B | |

B ⊕ C = A | |

A ⊕ B ⊕ C = 1 | |

A ⊕ B ⊕ C = 0 | |

None of the above |

Question 9 Explanation:

Given that A⊕B=C

1) A⊕B⊕ C = C⊕C

A⊕B⊕ C = 0 (Since C⊕C =0)

option D is correct.

So option C is not correct.

2) From step 1, we know that A⊕B⊕ C = 0

A⊕B⊕ C ⊕ B= 0 ⊕ B

A ⊕ C = B (Since B ⊕ B= 0)

So option A is correct.

3) From step 1, we know that A⊕B⊕ C = 0

A⊕B⊕ C ⊕ A= 0 ⊕ A

B ⊕ C = A (Since A ⊕ A =0)

So option B is also correct.

1) A⊕B⊕ C = C⊕C

A⊕B⊕ C = 0 (Since C⊕C =0)

option D is correct.

So option C is not correct.

2) From step 1, we know that A⊕B⊕ C = 0

A⊕B⊕ C ⊕ B= 0 ⊕ B

A ⊕ C = B (Since B ⊕ B= 0)

So option A is correct.

3) From step 1, we know that A⊕B⊕ C = 0

A⊕B⊕ C ⊕ A= 0 ⊕ A

B ⊕ C = A (Since A ⊕ A =0)

So option B is also correct.

Correct Answer: E

Question 9 Explanation:

Given that A⊕B=C

1) A⊕B⊕ C = C⊕C

A⊕B⊕ C = 0 (Since C⊕C =0)

option D is correct.

So option C is not correct.

2) From step 1, we know that A⊕B⊕ C = 0

A⊕B⊕ C ⊕ B= 0 ⊕ B

A ⊕ C = B (Since B ⊕ B= 0)

So option A is correct.

3) From step 1, we know that A⊕B⊕ C = 0

A⊕B⊕ C ⊕ A= 0 ⊕ A

B ⊕ C = A (Since A ⊕ A =0)

So option B is also correct.

1) A⊕B⊕ C = C⊕C

A⊕B⊕ C = 0 (Since C⊕C =0)

option D is correct.

So option C is not correct.

2) From step 1, we know that A⊕B⊕ C = 0

A⊕B⊕ C ⊕ B= 0 ⊕ B

A ⊕ C = B (Since B ⊕ B= 0)

So option A is correct.

3) From step 1, we know that A⊕B⊕ C = 0

A⊕B⊕ C ⊕ A= 0 ⊕ A

B ⊕ C = A (Since A ⊕ A =0)

So option B is also correct.

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