33. (Continued)

Either Boolean product results in a 1 output. The sum-output

column MINTERM EXPRESSION becomes AB+AB by

combining the two Boolean products using the OR operation.

Derive a minterm expression for the 1 output in the CARRY-

output column of the truth table below.

A

B

SUM

CARRY

0

0

0

0

0

1

1

0

1

0

1

0

1

1

0

1

34. Complete the truth table below.

a.

X

Y

X+Y

X(X+Y)

X(X+Y) =X

0

0

0

0

0

1

1

0

1

0

1

1

1

1

1

1

b. Is the expression X(X+Y) =X equivalent in all cases?

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