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Digital Logic Circuit

Digital Logic Circuit. Compiled by : Mr. Mark Anthony P. Cezar ( Lecture ). Chapter II Introduction to Numeric and Binary System. Numbers(s) A number is a mathematical object used to count and measure. Classification of numbers Natural Numbers Integers Rational Numbers

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Digital Logic Circuit

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  1. Digital Logic Circuit Compiled by : Mr. Mark Anthony P. Cezar ( Lecture )

  2. Chapter II Introduction to Numeric and Binary System Numbers(s) A number is a mathematical object used to count and measure. Classification of numbers Natural Numbers Integers Rational Numbers Complex Numbers Computable Numbers

  3. Binary Numeral System or Binary Number System • Base-2 number system • Numeric values using two symbols 0 and 1 • Used internally by almost all modern computers • Is a writing system of expressing numbers with symbol • The words binary comes from “Bi” MEANING TWO” • Example: Bicycle, Binocular • Example: • The number 10 means 2 in decimal • Why?

  4. "There are 10 kinds of people in the world, those who understand binary numbers, and those who don't."

  5. The BIT as a starting point . . . .

  6. Bit is the smallest unit of data. Where as, Binary Number is made up of only 0s and 1s

  7. Number System Conversion

  8. As computer programmer, it is important to know the different numeral system.

  9. Same as . . .

  10. BINARY ADDITION

  11. BINARY SUBTRACTION

  12. QUIZ

  13. Addition Subtraction

  14. BINARY MULTIPLICATON

  15. BINARY DIVISION

  16. Binary Multiplication • 10 x 10 = • 100 x 11 = • 101 x 10= • 1011 x 11 = • 11011 x 101 = • Binary Division • 100 / 10 = • 111 /11 = • 1010/100 = • 1101/11 = • 101111 / 10 =

  17. Answer Multiplication 1-5 Answer Division 1-5

  18. MIND TEASER Do not just think . . .Analyze. Know the logic . . ….. You have a fox, a chicken and a sack of grain. You must cross a river with only one of them at a time. If you leave the fox with the chicken he will eat it; if you leave the chicken with the grain he will eat it. How can you get all three across safely?

  19. Chapter II Logic Circuits Variables, functions, truth tables, gates and networks

  20. Digital Logic • Logic Circuit used to build computer • Logic circuit perform operation on digital signals • The general form of logic circuit is a switching network • In binary Logic circuits are only two values 0 and 1 • Digital Hardware • Late 1960s and early 1970s saw a revolutionary in digital capability • – smaller transistors • -larger chip size • More transistor/chip gives greater functionality • Integrated circuits are fabricated on silicon wafers • Chips have tens to million transistor • Provides motivation for computer based design techniques

  21. 15 Minutes Review

  22. quiz 1.z=tb+c 2.wxyx wy not(x) + wy

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