3. Use the absorption theorems (Theorems 4-5-6), plus any other theorems and postulates, to simplify the following expressions. (The simplified expressions should have as few terms as possible.) a) ABC + ABC' + AB' + AB'C' + A'BC' b) (X + Y + Z')(Y+X+Z)(Y' + X)(Z' + Y + X') (X + Y' + Z') c) ab'c'd + abcd + abc'd + a'bcd + ab'cd + ab + ac' d) z' + (x+y+w')(x + y'+w')yz + zy' + xyz
Added by Holly W.
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a) ABC + ABC + AB + AB' + A'BC - Combine like terms: ABC + ABC = 2ABC - Combine like terms: AB + AB' = AB + BA = 2AB - Final expression: 2ABC + 2AB + A'BC Show more…
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