• BME 210
  • Homework 10: Boolean Algebra and Digital Logic

    1. Simplify the following expressions using Boolean Algebra.

      a. \(A+\overline{A}\)
      b. \(A(\overline{A}+B)\)
      c. \((\overline{A}+\overline{B})(\overline{A}+B)\)
      d. \(\overline{A}+\overline{A}B\)
      e. \(\overline{A}(\overline{ABCD})\)

    2. Obtain the truth table for the following functions and express them in sum-of-minterms (sum-of-products) and product-of-maxterms (product-of-sums) form. Draw the circuit for each function. Use the original expression, sum-of-minterms, or product-of-maxterms to draw the circuit.

      a. \(F=(XY+Z)(Y+XZ)\)
      b. \(F=(AB+C)(B+\overline{C}D)\)
      c. \(F=A(\overline{B}CD+\overline{B}\,\overline{D}+D(\overline{A}+AB))\)

    Last updated:
    April 20, 2018