Properties of even and odd signals

  • The sum of two even signals is even signal
  • The sum of two odd signals are odd
  • The sum of an even signal and an odd signal is neither even nor odd signal
  • The product of two even signals is even
  • The product of two odd signals is  even
  • The product of two odd signals and even the signal is odd
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Addition / Subtraction :
In addition :
Even + Even = Even
Odd + Odd = Odd
Even + Odd = we can't say anything

In Subtraction :
Even - Even = Even
Odd - Odd = Odd
Even - Odd = we can't say anything

In Multiplication :
Odd * Odd = Even
Even * Odd = Odd
Even * Even = Even

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