GATE

Strength of Materials Or Solid Mechanics

Structural Analysis

Construction Material and Management

Reinforced Cement Concrete

Steel Structures

Geotechnical Engineering

Fluid Mechanics and Hydraulic Machines

Hydrology

Irrigation

Environmental Engineering

Transportation Engineering

Geomatics Engineering Or Surveying

Engineering Mathematics

General Aptitude

JEE

1

Two $$NAND$$ gates having open collector outputs are tied together as shown in fig. The logic function $$Y,$$ implemented by the circuit is.

A

$$Y = A\overline {BC} + \overline {DE} $$

B

$$Y = ABC + DE$$

C

$$Y = \overline {ABC} .\overline {DE} $$

D

$$Y = ABC\,.\,DE$$

2

Fill in the blanks:

In the two bit full-adder/sub tractor unit shown in Fig., when the switch is in position $$2.$$ $$.....$$ using $$.....$$ arithmetic.

In the two bit full-adder/sub tractor unit shown in Fig., when the switch is in position $$2.$$ $$.....$$ using $$.....$$ arithmetic.

$$B$$ is substracted from $$A,$$

$$2's$$ complement

$$2's$$ complement

3

For the synchronous counter shown in fig. write the truth table of $${Q_0},\,\,{Q_1}$$ and $${Q_2}$$ after each pulse starting from $${Q_0} = {Q_1} = {Q_2} = 0$$ and determine the counting sequenced also the modulus of the counter

What is the modules of the counter with initial state $${Q_2}\,{Q_1}\,{Q_0} = 000$$

A

$$3$$

B

$$4$$

C

$$5$$

D

$$6$$

4

Indicate which of the following well-formed formula are valid:

A

$$\left( {\left( {{\rm P} \Rightarrow Q} \right) \wedge \left( {Q \Rightarrow R} \right)} \right) \Rightarrow \left( {{\rm P} \Rightarrow R} \right).$$

B

$$\left( {{\rm P} \Rightarrow Q} \right) \Rightarrow \left( { \sim P \Rightarrow \sim Q} \right)$$

C

$$\left( {{\rm P}\, \wedge \,\left( { \sim {\rm P}\,\,V \sim Q} \right)} \right) \Rightarrow Q\left( { \sim {\rm P} \Rightarrow \sim Q} \right)$$

D

$$\left( {\left( {{\rm P} \Rightarrow R} \right) \vee \left( {Q \Rightarrow R} \right)} \right) \Rightarrow \left( {\left( {\left( {{\rm P} \vee Q} \right) \Rightarrow R} \right)} \right)$$

Subject Name | Total Questions |
---|---|

Algorithms | 3 |

Compiler Design | 2 |

Computer Organization | 2 |

Digital Logic | 6 |

Discrete Mathematics | 2 |

Operating Systems | 10 |

Programming Languages | 2 |

Theory of Computation | 9 |

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