# 165377 Do Digital Logic Problems?

Are the functions (xâ€™ + y)(y + z)â€™ and xâ€™yâ€™ + (xz)â€™ + yzâ€™ equivalent?

Show the truth table for the function (wâ€™xâ€™)â€™ + wyâ€™ +(xâ€™yâ€™)â€™

For the function (w+x)â€™(yâ€™+zâ€™)(w+x+y+z)â€™ use DeMorganâ€™s Law to find equivalent

function with only AND gates.

For the following Karnaugh map, show the maximum groupings (including donâ€™t cares if

appropriate) and minimal logic equation.

wx yz 00 01 11 10

00 0 0 0 0

01 0 0 1 0

11 X X X X

10 1 1 0 1

Draw the circuit that implements the equation P2â€™P0â€™U + P1â€™P0U + P2â€™P0Uâ€™ + P1â€™P0Uâ€™

Show the Karnaugh map, logic equation, and logic circuit to implement segments N2 of

the following truth table. Be sure to include all donâ€™t care conditions.

P2 P1 P0 U N2 N1 N0

0 0 0 0 0 0 0

0 0 0 1 0 0 1

0 0 1 0 0 0 1

0 0 1 1 0 1 0

0 1 0 0 0 1 0

0 1 0 1 0 1 1

0 1 1 0 0 1 1

0 1 1 1 1 0 0

1 0 0 0 1 0 0

1 0 0 1 1 0 1

1 0 1 0 1 0 1

1 0 1 1 0 0 0

1 1 0 0 X X X

1 1 0 1 X X X

1 1 1 0 X X X

1 1 1 1 X X X

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