Question

Explain how the BJTs are acting as switches to implement the NAND and NOR gates .

Answer #1

A | B | OUT |

0 | 0 | 1 |

0 | 1 | 1 |

1 | 0 | 1 |

1 | 1 | 0 |

A | B | OUT |

0 | 0 | 1 |

0 | 1 | 0 |

1 | 0 | 0 |

1 | 1 | 0 |

Draw a circuit using only NAND, NOR, and NOT for the combination
0001 that gives you a 1 when 0001 is inputted and
zero for all other inputs (ex. inputting 0011 will
result in 0).
The NAND, NOR, and NOT gates can only accept 2 inputs.

Using block diagram method, implement F with (NOR)
gates only:
F= (VW'+X) Y'Z+ WZ'

(a) Implement the following Boolean function F using the
two-level forms: AND-NOR and
OR-NAND , F = B'D'+ AC'D'+ACD+A'CD'
(b) Convert the above problem into standard POS, expression using
the truth table and minimize
using K-map.
(c) Design a combinational circuit with four inputs and one output.
The Algebraic expression
must be minimized using K-MAP. The output must be one for the
digits which are present in
your Roll Number Digits. Any duplications must be avoided.

how do I convert this SOP expression using only 2-input NAND
gates? (use DeMorgan's Law)
R = A'B'C' + AB'

Design a 1-bit Full adder using one 3-bit majority encoder and a
set of NAND gates

Design Half-adder and Full-adder circuits using truth tables.
Use only 2-input NAND gates

Please implement a NOR gate using CCNOT gate.
Is CCNOT gate is universal? If yes, why? If no, show that it is
not.
Toffoli gate (also CCNOT
gate), is a universal
reversible logic gate, which means that any
reversible circuit can be constructed from Toffoli
gates.
NOR is digital logic gate that implements logical NOR. A NOR
gate is a type of logic gate that works on the principle of
“neither this nor that

In addition to NAND and NOR, find four more two-input boolean
functions that are each individually universal. Give a logic
expression for each of your functions, using AND, OR, and NOT, and
prove that each of these functions is individually universal, by
showing for example that you can implement AND, OR, and NOT with
your function. You may use the constant values zero and one as
inputs to your universal functions to implement other functions.
Name your functions f1, f2,...

Minimum number of gates needed to implement w + w'x + x'y + y'z
is? The answer is 1 but I don't understand how?

Implement a full Subracter using a minimum number of gates.
Compare the logic equations for the full adder and full
subtracter.

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