7-kmap - Circuit Optimization ECE2030 Introduction to...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
8/28/09 1 1 ECE2030 Introduction to Computer Engineering Lecture 7: Karnaugh Maps 2 Circuit Optimization Goal: To obtain the simplest implementation for a given function Optimization is a more formal approach to simplification that is performed using a specific procedure or algorithm Optimization requires a cost criterion to measure the simplicity of a circuit Distinct cost criteria: Literal cost (L) Gate input cost (G) 3 Literal – a variable or it complement Literal cost – the number of literal appearances in a Boolean expression corresponding to the logic circuit diagram • Examples: L = 8 L = 8 Which solution is best? Literal Cost F = ABCD + A B C D F = ( A + B )( B + C )( C + D )( D + A ) 4 Gate Input Cost Gate input costs - the number of inputs to the gates in the implementation corresponding exactly to the given equation or equations For SOP and POS equations, it can be found from the equation(s) by finding the sum of: all literal appearances the number of terms excluding single literal terms Example: G = 8 + 2 = 10 G = 8 + 4 = 12 F = ABCD + A B C D F = ( A + B )( B + C )( C + D )( D + A )
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
8/28/09 2 5 Boolean Function Optimization (K-Map) Minimizing the gate input (or literal) cost of a (a set of) Boolean equation(s) reduces circuit cost. We choose gate input cost.
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern