✏️ Explanatory Question

[Computer Hardware]

Question:

A 2 to 4 decoder contains 2 inputs denoted by A1 and A0 and 4 outputs denoted by D0, D1, D2, D3. Write the minterm representations for D1 and D3.

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📘 Detailed Answer
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← Previous [Packages] Question: Given the following code snippet: package mine; public class Greetings { public static void greet(String name) { System.out.println("Hello " + name + ", welcome to the world of programming"); } } import java.util.*; import mine.*; public class Trial { public static void main() { Scanner sc = new Scanner(System.in); System.out.println("Give your name"); String n = sc.next(); Greetings.greet(n); } } (a) Predict the output for n = "Abhay". (b) Explain the difference between: import java.util.*; and import mine.*;
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Answer with Explanation

Answer:

The minterm representations are: 

D1 = A1' A0
D3 = A1 A0

Explanation:

A 2-to-4 decoder generates one output HIGH for each combination of input values.

Inputs: 

A1 , A0

Possible input combinations: 

00
01
10
11

Decoder truth table: 

A1  A0   Output HIGH

0   0    D0
0   1    D1
1   0    D2
1   1    D3

Minterm Representation:

For D1: 

A1 = 0 → A1'
A0 = 1 → A0

Therefore: 

D1 = A1' A0

For D3: 

A1 = 1 → A1
A0 = 1 → A0

Therefore: 

D3 = A1 A0

Conclusion:

  • D1 corresponds to input 01 → A1' A0
  • D3 corresponds to input 11 → A1 A0
← Previous [Packages] Question: Given the following code snippet: package mine; public class Greetings { public static void greet(String name) { System.out.println("Hello " + name + ", welcome to the world of programming"); } } import java.util.*; import mine.*; public class Trial { public static void main() { Scanner sc = new Scanner(System.in); System.out.println("Give your name"); String n = sc.next(); Greetings.greet(n); } } (a) Predict the output for n = "Abhay". (b) Explain the difference between: import java.util.*; and import mine.*;