L17 Digital Computation

L17 Digital Computation - EE 40 Digital Computation Boolean...

Info iconThis preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon
EE 40 Digital Computation Boolean Algebra EE 40 Lecture 17: Digital Computation 1
Background image of page 1

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

View Full DocumentRight Arrow Icon
Skills! Write truth tables (TTs), e.g. adder Derive Boolean expression for TT (sum of products) Convert Boolean expressions (de Morgan’s rule) Implement Boolean expressions with logic gates Synthesize Boolean functions with switches / transistors Calculate input capacitance and output resistance for CMOS gates, relate to XTR dimensions (W, L) Calculate delay and energy consumed by CMOS gates Estimate power of digital (CMOS) circuits based on # of gates, clock speed, supply voltage EE 40 Lecture 17: Digital Computation 2
Background image of page 2
Boolean Algebra Computation with binary (2-valued) signals Truth table Example: 1 input, 1 output EE 40 Lecture 17: Digital Computation 3 D i D o 0 1 D i D o 0 1 Inverter (NOT) Identity
Background image of page 3

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

View Full DocumentRight Arrow Icon
Boolean Operators with Two Inputs EE 40 Lecture 17: Digital Computation 4 D o D i AND OR XOR NAND NOR 00 01 10 11
Background image of page 4
NOT AND NAND OR XOR Boolean Operators EE 40 Lecture 17: Digital Computation 5
Background image of page 5

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

View Full DocumentRight Arrow Icon
Boolean Algebra (Examples) A + 1 = 1 A ∙ 0 = 0 A ∙ 1 = A ∙ (B + C) = (A ∙ B) + (A ∙ C) Check with truth table EE 40 Lecture 17: Digital Computation 6
Background image of page 6
EE 40 Lecture 17: Digital Computation 7 Example: realize using only NAND operators
Background image of page 7

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

View Full DocumentRight Arrow Icon
Image of page 8
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/15/2011 for the course EE 40 taught by Professor Chang-hasnain during the Spring '07 term at Berkeley.

Page1 / 40

L17 Digital Computation - EE 40 Digital Computation Boolean...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online