Work

1) Design a BCD-to-decimal decoder using the unused combinations of the BCD code as don’t –care conditions.

Ans

|D |C |B |A |

|0 |1 |1 |1 |

|X |X |X |X |

|1 |1 |X |x |

00

01

11

10

The Output Equation for A output –

B0= D+CA+B+C’A’

BA

DC 00 01 11 10

|1 |1 |1 |1 |

|1 |1 |1 |0 |

|X |X |X |X |

|1 |1 |X |X |

00

01

11

10

The Output Equation for B output –

B1=D+C’+B’+A

BA

DC 00 01 11 10

|1 |1 |1 |0 |

|1 |1 |1 |1 |

|X |X |X |X |

|1 |1 |X |X |

00

01

11

10

The Output Equation for C Output –

B2= B’+A+C+D

BA

DC 00 01 11 10

|1 |0 |1 |1 |

|0 |0 |0 |1 |

|X |X |X |X |

|1 |1 |X |X |

00

01

11

10

The output Equation for D=

D=D+A’+D’C’B

BA

DC 00 01 11 10

|1 |0 |0 |1 |

|0 |0 |0 |1 |

|X |X |X |X |

|1 |0 |X |X |

00

01

11

10

The Output Equation for E =

E=C’A’+CB

BA

DC 00 01 11 10

|1 |0 |0 |0 |

|1 |1 |0 |1 |

|X |X |X |X |

|1 |1 |X |X |

00

01

11

10

The Output Equation of F=

F=D+BA’C+B’A’D’+CB’

BA

DC...