Home
Class 12
PHYSICS
Simplify Y = AB+ABC +barAB+ AbarBC using...

Simplify `Y = AB+ABC +barAB+ AbarBC` using Boolean Algebra. Draw the resultant simplified logic circuit.

Text Solution

Verified by Experts

Given `Y = AB+ABC + barA B + A barB C`
`Y =(A+barA)B+ AC(B+ barB ) Y=B+AC ( :. B+ barB =1)`
Logic Circuit is shown below.
Promotional Banner

Topper's Solved these Questions

  • SEMICONDUCTOR DEVICES

    AAKASH SERIES|Exercise EXERCISE -I (ENERGY BANDS AND CLASSIFICATION OF SOLIDS )|43 Videos

  • SEMICONDUCTOR DEVICES

    AAKASH SERIES|Exercise EXERCISE -I (P-N JUNCTION DIODE)|35 Videos

  • SEMICONDUCTOR DEVICES

    AAKASH SERIES|Exercise Problems (LEVEL-II)|7 Videos

  • RAY OPTICS

    AAKASH SERIES|Exercise PROBLEMS ( LEVEL-II)|50 Videos

  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE EXERCISE|45 Videos

Similar Questions

Explore conceptually related problems

Simplify the following using laws of exponents : a^x xx a^y xx a^z .

ABC is a right triangle right angled at A. BCED,ACFG and ABMN are squares on the sides BC,CA and AB respectively. Line segments AX bot DE meets BC at Y and DE at X. Join AD,AE also BF and CM Show that ar(BCED)=ar(ABMN)+ar(ACFG) Can you write the result in words? This is a famous theorem of Pythagoras. You shall learn a simple proof in this theorem in class X.

Simplify the following using the law a^m xx b^m = (ab)^m : a^8 xx b^8 .

Simplify the following using the law a^m xx b^m = (ab)m , (2x3)^4

Draw the logic circuit corresponding to the Boolean expression. Y=AB+barBC .

Simplify the following using the law a^m xx b^m = (ab)^m : x^p xx y^p .

Simplify the following using the law a^m xx b^m = (ab)^m : (5 xx 4)^11 .

AAKASH SERIES-SEMICONDUCTOR DEVICES-EXAMPLES
  1. In a transistor, the emitter circuit resistance is 100 kOmega and the...

    Text Solution

    |

  2. In the following common-emitter configuration an n-p-n transistor with...

    Text Solution

    |

  3. An n-p-n transistor in a common emitter mode is used as a simple volta...

    Text Solution

    |

  4. The overall gain of a multistage amplifier is 100. When negative feedb...

    Text Solution

    |

  5. Calculate the gain of a positive feedback amplifier

    Text Solution

    |

  6. Calculate the gain of a negative feedback amplifier with an intern...

    Text Solution

    |

  7. In a negative feedback amplifier, the gain without feedback is 100, fe...

    Text Solution

    |

  8. In a negative feedback amplifier, the gain without feedback is 100, fe...

    Text Solution

    |

  9. In a negative feedback amplifier, the gain without feedback is 100, fe...

    Text Solution

    |

  10. In a negative feedback amplifier, the gain without feedback is 100, fe...

    Text Solution

    |

  11. In a negative feedback amplifier, the gain without feedback is 100, fe...

    Text Solution

    |

  12. The Boolean expression of the output Y of the inputs A and B for the c...

    Text Solution

    |

  13. The combination of NAND gates shown here under are equivalent to

    Text Solution

    |

  14. The diagram of a logic circuit is given below. The output of the circu...

    Text Solution

    |

  15. The logic circuit and its truth table are given, what is the gate X in...

    Text Solution

    |

  16. Draw the logic circuit corresponding to the Boolean expression. Y=AB+b...

    Text Solution

    |

  17. Simplify Y = AB+ABC +barAB+ AbarBC using Boolean Algebra. Draw the res...

    Text Solution

    |

  18. Write Boolean equation for the output of fig. and solve this equation ...

    Text Solution

    |

  19. Draw logic diagrams for the Boolean expressions given below. A * ba...

    Text Solution

    |

  20. Draw logic diagrams for the Boolean expressions given below. (i)A . ...

    Text Solution

    |