Question 1 |

Consider the IEEE-754 single precision floating point numbers
P=0xC1800000 and Q=0x3F5C2EF4.

Which one of the following corresponds to the product of these numbers (i.e., P x Q), represented in the IEEE-754 single precision format?

Which one of the following corresponds to the product of these numbers (i.e., P x Q), represented in the IEEE-754 single precision format?

0x404C2EF4 | |

0x405C2EF4 | |

0xC15C2EF4 | |

0xC14C2EF4 |

Question 1 Explanation:

Question 2 |

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 2 Explanation:

Question 3 |

Consider a sequential digital circuit consisting of T flip-flops and D flip-flops as
shown in the figure. CLKIN is the clock input to the circuit. At the beginning,
Q1, Q2 and Q3 have values 0, 1 and 1, respectively.

Which one of the given values of (Q1, Q2, Q3) can NEVER be obtained with this digital circuit?

Which one of the given values of (Q1, Q2, Q3) can NEVER be obtained with this digital circuit?

(0, 0, 1) | |

(1, 0, 0) | |

(1, 0, 1) | |

(1, 1, 1) |

Question 3 Explanation:

Question 4 |

A particular number is written as 132 in radix-4 representation. The same number
in radix-5 representation is _____.

158 | |

118 | |

110 | |

98 |

Question 4 Explanation:

Question 5 |

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 5 Explanation:

Question 6 |

Consider three floating point numbers A, B and C stored in registers R_A, R_B and R_C, respectively as per IEEE-754 single precision floating point format. The 32-bit content stored in these registers (in hexadecimal form) are as follows.

R_A=0xC1400000

R_B=0x42100000

R_C=0x41400000

Which one of the following is FALSE?

R_A=0xC1400000

R_B=0x42100000

R_C=0x41400000

Which one of the following is FALSE?

A+C=0 | |

C=A+B | |

B=3C | |

(B-C) \gt 0 |

Question 6 Explanation:

Question 7 |

Let R1 and R2 be two 4-bit registers that store numbers in 2's complement form. For the operation R1+R2, which one of the following values of R1 and R2 gives an arithmetic overflow?

R1 = 1011 and R2 = 1110 | |

R1 = 1100 and R2 = 1010 | |

R1 = 0011 and R2 = 0100 | |

R1 = 1001 and R2 = 1111 |

Question 7 Explanation:

Question 8 |

Consider a Boolean function f(w,x,y,z) such that

\begin{array}{lll} f(w,0,0,z) & = & 1 \\ f(1,x,1,z) & =& x+z \\ f(w,1,y,z) & = & wz +y \end{array}

The number of literals in the minimal sum-of-products expression of f is ________

\begin{array}{lll} f(w,0,0,z) & = & 1 \\ f(1,x,1,z) & =& x+z \\ f(w,1,y,z) & = & wz +y \end{array}

The number of literals in the minimal sum-of-products expression of f is ________

4 | |

6 | |

8 | |

9 |

Question 8 Explanation:

Question 9 |

If the numerical value of a 2-byte unsigned integer on a little endian computer is 255 more than that on a big endian computer, which of the following choices represent(s) the unsigned integer on a little endian computer?

**[MSQ]**0x6665 | |

0x0001 | |

0x4243 | |

0x0100 |

Question 9 Explanation:

Question 10 |

If x and y are two decimal digits and (0.1101)_2 = (0.8xy5)_{10}, the decimal value of x+y is ___________

3 | |

6 | |

8 | |

4 |

Question 10 Explanation:

There are 10 questions to complete.

Sir, Please mention the a,b,c value of question 2.

Hi Ashutosh,

Here, value of a,b,c are not required. You can write the truth table based on above circuit. Then find the answer based on truth table. See the solution provided.

Question 5, Please update the answer from 4 minimum gate to 3 minimum gate.

Hi Ashutosh,

Thank you for your suggestion. We have updated the answer from 4 to 3.

Q13 answer will be B…

Update it

Thank You akki yadav, We have updated the answer suggested by you.

Update Question No. 46. The options should be Q1Q0 instead of Q0Q1

Update Q56 as B instead of C

Thank You Sowmya Sri,

We have updated the answer.

Question number 42 in the Digital Logic subject is not part of Boolean Algebra, it should be present in the propositional logic section on Discrete Mathematics.

in Q-228 option A,C are same

Dear praveen kumar,

We have updated option C.

In question 206 option D is correct, but there is typo in option d displayed. It should be staring with wxy’