GATE 2014 [Set-3]
December 6, 2023UGC NET CS 2016 July- paper-2
December 6, 2023UGC NET CS 2016 July- paper-2
| Question 6 |
Which of the following logic expressions is incorrect?
| 1 ⊕ 0 = 1 | |
| 1 ⊕ 1 ⊕ 1 = 1 | |
| 1 ⊕ 1 ⊕ 0 = 1 | |
| 1 ⊕ 1 = 0 |
Question 6 Explanation:
Here, ⊕ is nothing but Ex-OR operator. The truth table for Ex-OR is
According to truth table,
Option-A is TRUE
Option-B is a 1 ⊕ 1 is 0.
0 ⊕ 1 is 1(TRUE)
Option-C is 1 ⊕ 1 is 0.
0 ⊕ 0 = 0 but given 1. So, FALSE
Option-D is TRUE.
According to truth table,
Option-A is TRUE
Option-B is a 1 ⊕ 1 is 0.
0 ⊕ 1 is 1(TRUE)
Option-C is 1 ⊕ 1 is 0.
0 ⊕ 0 = 0 but given 1. So, FALSE
Option-D is TRUE.
Correct Answer: C
Question 6 Explanation:
Here, ⊕ is nothing but Ex-OR operator. The truth table for Ex-OR is
According to truth table,
Option-A is TRUE
Option-B is a 1 ⊕ 1 is 0.
0 ⊕ 1 is 1(TRUE)
Option-C is 1 ⊕ 1 is 0.
0 ⊕ 0 = 0 but given 1. So, FALSE
Option-D is TRUE.
According to truth table,
Option-A is TRUE
Option-B is a 1 ⊕ 1 is 0.
0 ⊕ 1 is 1(TRUE)
Option-C is 1 ⊕ 1 is 0.
0 ⊕ 0 = 0 but given 1. So, FALSE
Option-D is TRUE.