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nicnick77
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Homework Statement
How do I implement ABC'D' using only one 2-input nand gate and one 3-input nor gate?
nicnick77 said:Homework Statement
How do I implement ABC'D' using only one 2-input nand gate and one 3-input nor gate?
Homework Equations
The Attempt at a Solution
To implement ABC'D' using only one 2-input nand gate and one 3-input nor gate, you will need to use a combination of Boolean logic and De Morgan's laws. First, use the nand gate to create the NAND function (not AND) of A, B, and C. Then, use the nor gate to create the NOR function (not OR) of the NAND result and D. This will result in the desired output of ABC'D'.
No, the challenge is to only use these two specific gates. However, you can use multiple instances of these gates to achieve the desired result.
A 2-input nand gate is a logic gate that produces an output of 1 (true) only when both of its inputs are 0 (false), while a 3-input nor gate produces an output of 1 only when all of its inputs are 0.
Yes, this implementation can be used for any logical expression that can be expressed using the NAND and NOR functions. It can also be used for more complex expressions by combining multiple instances of these gates.
Yes, using only these two gates may result in a more complex circuit and may require more gates than other methods. It is important to consider the efficiency and simplicity of the circuit when deciding on an implementation method.