X8/31 & 9/2CS150Section week 11. Logic circuit Logic equation Simplification Logic circuitRewrite the logic circuit ( or you can also call it a “logic diagram” ) into a logic equation, simplify,then draw the logic circuit for the simplified equation.Example: #1#2.#32. Simplification ( kinda hard…). Show: _ _( X + Y ) ( X + Z ) = XZ + XYxyFbcFABCFABCF3. Simplify ( Hint: Break into parts…) :4. Problems with a circuit like the one above:1).2).3).5. Word problem to logic diagram problem.5a. Steps to produce logic circuits for combinational circuit:1).2).3).4).5b. Build a logic circuit for a device which tells Gabe who to put into the 6am section. We don’t want to be sued, and people that don’t recycle make us angry. We don’t really care what people eat. Let’s have our circuit take 3 things into account: whether there is a lawyer in the student’s immediate family, whether they eat uni, and whether they recycle. XYFXYabcFUnit Time: 0 1 2 3 4 5 6 7101010101010INPUTS OUTPUT Lawyer? Eats uni? Doesn’t recycle? 6am? 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 Equation:Logic diagram:Simplified equation:Simplified equation’s logic diagram: 6. Active low, active high…A.HB.HC.HX.HY.H7. Bubble pushing ( DeMorgan’s ), bubble
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