Question 1 |

A Boolean digital circuit is composed using two 4-input multiplexers (M1 and M2)
and one 2-input multiplexer (M3) as shown in the figure. X0-X7 are the inputs of
the multiplexers M1 and M2 and could be connected to either 0 or 1. The select
lines of the multiplexers are connected to Boolean variables A, B and C as shown.

Which one of the following set of values of (X0, X1, X2, X3, X4, X5, X6, X7) will realise the Boolean function \bar{A}+\bar{A}\cdot \bar{C}+A\cdot \bar{B}\cdot C ?

Which one of the following set of values of (X0, X1, X2, X3, X4, X5, X6, X7) will realise the Boolean function \bar{A}+\bar{A}\cdot \bar{C}+A\cdot \bar{B}\cdot C ?

(1, 1, 0, 0, 1, 1, 1, 0) | |

(1, 1, 0, 0, 1, 1, 0, 1) | |

(1, 1, 0, 1, 1, 1, 0, 0) | |

(0, 0, 1, 1, 0, 1, 1, 1) |

Question 1 Explanation:

Question 2 |

The output of a 2-input multiplexer is connected back to one of its inputs as shown
in the figure.

Match the functional equivalence of this circuit to one of the following options.

Match the functional equivalence of this circuit to one of the following options.

D Flip-flop | |

D Latch | |

Half-adder | |

Demultiplexer |

Question 2 Explanation:

Question 3 |

Which one of the following circuits implements the Boolean function given below?

f(x,y,z) = m_0+m_1+m_3+m_4+m_5+m_6

where m_i is the i^{th} minterm.

f(x,y,z) = m_0+m_1+m_3+m_4+m_5+m_6

where m_i is the i^{th} minterm.

A | |

B | |

C | |

D |

Question 3 Explanation:

Question 4 |

Consider the following circuit

The function by the network above is

The function by the network above is

\overline{A B} E+E F+\overline{C D} F | |

(\bar{E}+A B \bar{F})(C+D+\bar{F}) | |

(\overline{A B}+E)(\bar{E}+\bar{F})(C+D+\bar{F}) | |

(A+B) \bar{E}+\overline{E F}+C D \bar{F} |

Question 4 Explanation:

Question 5 |

Following Multiplexer circuit is equivalent to

Sum equation of full adder | |

Carry equation of full adder | |

Borrow equation for full subtractor | |

Difference equation of a full subtractor |

Question 5 Explanation:

There are 5 questions to complete.

Question number 37, correct answer is option A. Please update it.

Thank You Aditya,

We have updated the option.

According to me correct answer for question 9 in combinational circuit should be gray code

Thank You PRAFUL SAMBHAJI RANE,

We have updated the answer.

question no. 39 is incomplete ….

pls update it