Question

f(a,b,c)=ΠM(0,2,5) Q5.2 2 Points Suppose that you have a 3−8 decoder that outputs the maxterms rather than the minterms. This kind of decoders exists and it is referred to as NAND decoders. Show how to implement the function f using 3−8 NAND decoder.

Answer 1

To implement the function f using a 3-8 NAND decoder, convert the function into its maxterm representation and generate the complement of each maxterm using the decoder.

Step-by-step explanation:

To implement the function f using a 3-8 NAND decoder, we need to convert the function into its maxterm representation and then use the decoder to generate the complement of each maxterm. The maxterm representation can be obtained by taking the complement of the minterms.

Let's consider the function f(a, b, c) = m(0, 2, 5). The complement of the minterms gives us the maxterms: M(1, 3, 4, 6, 7). Now, we can use the 3-8 NAND decoder to generate the complement of each maxterm.

Here is how the connections would be made:

• Connect the inverted inputs of the NAND decoder to the variables a, b, and c, respectively.
• Connect the outputs of the decoder to the inputs of AND gates.
• Connect the other inputs of the AND gates to the corresponding complemented maxterm outputs (M').
• The output of each AND gate will be the complement of the corresponding maxterm.