Implementing 4-Input XOR Gate: a+b+c+d

The Boolean expression for a 4-Input XOR Gate is: Output = a'bcd + ab'cd + abc'd + abcd'</p>In summary, a 4-Input XOR Gate is a logic gate with four input signals that outputs a signal based on the exclusive OR (XOR) function. It is commonly used for error detection and correction in digital circuits. To implement it, four individual XOR
  • #1
abusayed
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Homework Statement



how can I implement 4 input xor gate like a+b+c+d (+ means xor gate symbol)


Homework Equations





The Attempt at a Solution

 
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  • #2
you have to show some attempt at the question yourself, otherwise you are just asking someone here to do it for you, and that's not how this forum works.

Specifically, read the rules about posting homework questions.
 
  • #3
abusayed said:
how can I implement 4 input xor gate like a+b+c+d (+ means xor gate symbol)
What gates do you have available? How many inputs can each have?
 

1. What is a 4-Input XOR Gate?

A 4-Input XOR Gate is a logic gate that has four input signals and produces an output signal based on the exclusive OR (XOR) logic function, where the output is true if and only if an odd number of the input signals are true. This gate is commonly used in digital circuits for error detection and correction.

2. How do you implement a 4-Input XOR Gate?

To implement a 4-Input XOR Gate, you will need four input signals (a, b, c, d) and one output signal. The output signal can be achieved by connecting the four input signals to four individual XOR gates and then connecting the outputs of those gates to a fifth XOR gate, which will produce the final output signal. Alternatively, you can use a specialized IC (integrated circuit) that contains multiple XOR gates, such as the 74LS86.

3. What are the truth table and Boolean expression for a 4-Input XOR Gate?

The truth table for a 4-Input XOR Gate is as follows:

a b c d Output
0 0 0 0 0
0 0 0 1 1
0 0 1 0 1
0 0 1 1 0
0 1 0 0 1
0 1 0 1 0
0 1 1 0 0
0 1 1 1 1
1 0 0 0 1
1 0 0 1 0
1 0 1 0 0
1 0 1 1 1
1 1 0 0 0
1 1 0 1 1
1 1 1

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