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Specifically x and y are two values either: (1, 1), (1, 0), (0, 1) or (0, 0).Whe

ID: 3583429 • Letter: S

Question

Specifically x and y are two values either: (1, 1), (1, 0), (0, 1) or (0, 0).When the two values are different output an Error value, E of 1 indicating an error, when the two values are the same output an Error value, E, of 0 indicating no error. Fill in the following digital logic "truth" table Use the Disjoint Normal Form procedure to form an expression for E from x, y the negation of x and the negation of y as suitable. E = Draw in the space below a digital logic circuit, whose input is x and y and whose output is E.

Explanation / Answer

When the two values are different output an Error value E, of 1 indicating an error.
When the two values are the same output an Error value E, of 0 indicating no error.
x   y   E
1   1   0   //Here both x, and y values are the same, so no error.
1   0   1   //Here both x, and y values are different, so an error.
0   1   1   //Here both x, and y values are different, so an error.
0   0   0   //Here both x, and y values are the same, so no error.

Disjoint normal form:
E = (x ^ ¬y) V (¬x ^ y)

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