Page 37 - Handout Digital Electronics
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Exercise

            1 Show that:  F   (A   B   C )(A   B   C )   A   C

            2 Simplify the Boolean function:  F   ABCD   ABCD   ABCD   ABCD   ABCD   ABCD

            3 Show that: F   ( A   B   AB)(A   C   AC)    A   BC

            Material for further exploration:

            Nave,      R.       De       Morgan’s       Theorem       Retrieved      from:
            http://www.hyperphysics- phyastr.gsu.edu/base/Electronic/DeMorgan.html3

            Morris, Mano, (1997) Computer Systems Architecture

            William Stallings (2006) Computer organization and architecture p 701-702

            Exercise for self-assessment

            1 Define the following laws of Boolean algebra giving examples in each case:
               •  Commutative
               •  Distributive
               •  Identity

            1  De Morgan’s theorem is significant in design of digital logic circuits. Use De Morgan’s theorem to
                simplify the Boolean expressions below:

                ( AB   C)( A   B)(B   AC )

            3 Which postulates in Boolean algebra have the same effects as in conventional algebra?





          Lecture 4 Video Lecture

        Watch the complete explanation of this chapter here:
        https://www.youtube.com/watch?v=gI-qXk7XojA



          Lecture 4 Online Quiz







        Test your understanding by completing the quiz:
        https://forms.office.com/Pages/DesignPageV2.aspx?origin=NeoPortalPage&subpage=design&id=6It6CPsfUEqe
        Y6fdRNP5cqrl2mW71GRAiQAluYy6dIVUNTlKVjJTWkNDRkZRN0UzWVFaTjg1TVlUTi4u





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