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Diploma in Higher Education Studies

Logic gates and truth tables

HES 102 · Mathematics for University Study — Week 11 of 16

CourseHES 102
Week11 of 16
SemesterI
TutorOnline in the course chat

This week’s topics

Logic gates and truth tables

  1. AND, OR and NOT gates
  2. True and false as 1 and 0
  3. Writing a truth table

What you will be able to do

  • 2.3 Construct truth tables for logic gates (AND, OR, NOT).

Activity

Complete truth tables for single gates and a simple two-gate circuit.

Study materials

Further resources

  • The Elements of Computing Systems, ch. 1: Boolean Logic · PDF · Nisan & Schocken, The Elements of Computing Systems 2e, ch. 1 (2nd ed.): AND, OR and NOT gates, 1 and 0 as true and false, truth tables; 22 pp. · for registered students
  • Contemporary Mathematics, 2.3: Constructing Truth Tables · PDF · OpenStax Contemporary Mathematics (2023), 2.3: writing truth tables, pp. 78–86 · for registered students
  • Contemporary Mathematics, 2.2: Compound Statements · PDF · OpenStax Contemporary Mathematics (2023), 2.2: and, or and not, pp. 70–77 · for registered students
  • A symbolic analysis of relay and switching circuits · Open-access article · Shannon (1938), Transactions of the AIEE (MIT thesis version). The classic showing that switching circuits follow Boolean logic and truth tables. · for registered students
  • Using physical logic gates to teach digital logic to novice computing students · Open-access article · Tan & Venema (2019), International Conference on Educational Technologies (IADIS). Using physical logic gates to help beginners understand AND, OR and NOT. · for registered students
Materials marked “for registered students” open in the student portal, which is set up as soon as you receive final acceptance.
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Course plan
  • Week 1: Fractions, decimals and percentages
  • Week 2: Calculating with percentages
  • Week 3: Percentage increase and decrease
  • Week 4: Percentages in business: profit, mark-up and VAT
  • Week 5: Binary numbers
  • Week 6: Hexadecimal numbers
  • Week 7: Adding binary numbers
  • Midterm: Midterm evaluation
  • Week 9: Using formulae
  • Week 10: Solving equations and rearranging formulae
  • Week 11: Logic gates and truth tables
  • Week 12: Averages and range
  • Week 13: Reading charts and tables
  • Week 14: Solving problems step by step with flowcharts
  • Week 15: Review and coursework completion
  • Final: Final assessment and submission
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