Question 1 |

A binary operation \oplus on a set of integers is defined as x \oplus y= x^{2}+y^{2}. Which one of the following statements is TRUE about \oplus ?

Commutative but not associative | |

Both commutative and associative | |

Associative but not commutative | |

Neither commutative nor associative |

Question 1 Explanation:

Question 2 |

Suppose p is the number of cars per minute passing through a certain road junction between 5 PM
and 6 PM, and p has a Poisson distribution with mean 3. What is the probability of observing fewer
than 3 cars during any given minute in this interval?

8/(2e^{3}) | |

9/(2e^{3}) | |

17/(2e^{3}) | |

26/(2e^{3}) |

Question 2 Explanation:

Question 3 |

Which one of the following does NOT equal

\begin{bmatrix} 1 & x&x^{2} \\ 1& y & y^{2}\\ 1&z & z^{2} \end{bmatrix}?

\begin{bmatrix} 1 & x&x^{2} \\ 1& y & y^{2}\\ 1&z & z^{2} \end{bmatrix}?

\begin{bmatrix} 1 & x(x+1)&x+1 \\ 1& y(y+1) & y+1\\ 1&z(z+1) & z+1 \end{bmatrix} | |

\begin{bmatrix} 1 & x(x+1)&x^{2}+1 \\ 1& y(y+1) & y^{2}+1\\ 1&z(z+1) & z^{2}+1 \end{bmatrix} | |

\begin{bmatrix} 0& x(x+1)&x^{2}+1 \\ 0& y(y+1) & y^{2}+1\\ 1&z & z^{2} \end{bmatrix} | |

\begin{bmatrix} 2& x(x+1)&x^{2}+1 \\ 2& y(y+1) & y^{2}+1\\ 1&z & z^{2} \end{bmatrix} |

Question 3 Explanation:

Question 4 |

The smallest integer that can be represented by an 8-bit number in 2's complement form is

-256 | |

-128 | |

-127 | |

0 |

Question 4 Explanation:

Question 5 |

In the following truth table, V = 1 if and only if the input is valid.

What function does the truth table represent?

What function does the truth table represent?

Priority encoder | |

Decoder | |

Multiplexer | |

Demultiplexer |

Question 5 Explanation:

There are 5 questions to complete.

Q13 Option D – Correction (decryption part of the option has X and Y interchangef)