Understanding Decoder Output: Minterms vs. Output Gate Type

Thread starter amninder15
Start date Oct 19, 2012
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Decoder

In summary, a decoder is a digital circuit used in digital electronics to convert coded inputs into coded outputs. Finding minterms is important in a decoder as it helps simplify the logic circuit and reduce the number of gates required, resulting in a more efficient design. To find minterms from a decoder truth table, one needs to identify specific inputs that result in a certain output and express them as a product term using the Boolean AND operation. There are shortcuts for finding minterms, such as using Karnaugh maps and applying Boolean algebra rules.

Oct 19, 2012

amninder15

For this question Why is the answer not m(0,1)?
Little confused here. Any help will be appreciated.

Thanks

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Oct 19, 2012

berkeman

Mentor

amninder15 said:

For this question Why is the answer not m(0,1)?
Little confused here. Any help will be appreciated.

Thanks

I think it's because the output gate is a NOR rather than an OR.

Now what do you think the right answer is...?

FAQ: Understanding Decoder Output: Minterms vs. Output Gate Type

1. What is a decoder?

A decoder is a digital circuit that converts coded inputs into coded outputs. It is commonly used in digital electronics to select one or more outputs based on the binary value of the inputs.

2. Why is finding minterms important in a decoder?

Finding minterms is important in a decoder because it helps in simplifying the logic circuit and reducing the number of gates required. This results in a more efficient and cost-effective design.

3. How do you find minterms from a decoder truth table?

To find minterms from a decoder truth table, you need to identify the inputs that result in a specific output and express them as a product term. Then, combine these product terms using the Boolean AND operation to get the minterm expression.

4. Can you give an example of finding minterms from a decoder?

Sure, let's say we have a 2-to-4 line decoder with inputs A and B and outputs W, X, Y, Z. The truth table for this decoder would have 4 rows, each representing a minterm. For example, the first row would be A'B', which corresponds to output W. Similarly, the second row would be A'B, which corresponds to output X. And so on.

5. Are there any shortcuts for finding minterms in a decoder?

Yes, there are a few shortcuts that can be used to find minterms in a decoder. One of the methods is to use Karnaugh maps, which is a graphical method for simplifying Boolean expressions. Another method is to use Boolean algebra rules, such as De Morgan's laws, to manipulate the Boolean expression and get the minterms.