# l2 - Massachusetts Institute of Technology Department of...

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Unformatted text preview: Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.111 Introductory Digital Systems Laboratory Lecture # 2 Now some basics (This IS about digital logic...) The values here (x and y) represent something like voltage (is it +5 volts (1) or zero (0)? Or is a light ON or OFF? (That is, anything that can take on one of two values) Slid Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.111 Introductory Digital Systems Laboratory Identities: Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.111 Introductory Digital Systems Laboratory Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.111 Introductory Digital Systems Laboratory Massachusetts Stoplight Example F=1 implies stoplight is working correctly F=0 implies stoplight is busted Truth Table: r y g F 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 1 1 0 Slide 3 F = /r*/y*g + /r*y*/g + r*/y*/g + r*y*/g Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.111 Introductory Digital Systems Laboratory Obsolete Stoplight Example: Reduction using Boolean Algebra F = R * /Y * /G + /R * Y * /G + /R * /Y * G + R * Y * /G Step 1: Since Y + /Y = 1, Slide 3 R*/Y*/G + R*Y*/G = R*(Y + /Y) * /G = R * /G...
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l2 - Massachusetts Institute of Technology Department of...

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