6(a)(i)Boolean Algebra Logic CircuitsMedium2 marksThe Karnaugh map (K-map) represents a logic circuit with four inputs.Draw loop(s) around appropriate group(s) in the K-map to produce an optimal sum-of-products.PenEraserUndoRedoClearDraw with the mouse or a finger.Grade answerSolutionGrading criteria
6(a)(ii)Boolean Algebra Logic CircuitsMedium2 marksWrite the Boolean expression from your answer to 6(a)(i) as a simplified sum-of-products. Do not carry out any further simplification.Simplified sum-of-products (use AND, OR, NOT, e.g. A AND B OR NOT C)Grade answerSolutionGrading criteria
6(a)(iii)Boolean Algebra Logic CircuitsMedium1 markWrite the Boolean expression from your answer to 6(a)(ii) in its simplest form by using Boolean algebra to simplify it.Simplest form (use AND, OR, NOT, e.g. A AND (B OR NOT C))Grade answerSolutionGrading criteria
6(b)Boolean Algebra Logic CircuitsHard3 marksSimplify the following expression using De Morgan’s laws and Boolean algebra. Show all the stages in your simplification.X=A+B+C+B+CWorking (name the law used at each stage)TypeWriteMath0 wordsSimplest form (use AND, OR, NOT, e.g. NOT A AND NOT B)Grade answerSolutionGrading criteria