PPT-Bits, Bytes, and Integers

15213 Introduction to Computer Systems 3 rd Lectures May 28th 2013 Instructors Greg Kesden Today Bits Bytes and Integers Representing information as bits Bitlevel manipulations. Basic Hardware Units of a Computer. Bits and Bit Patterns. Bit:. Binary Digit (0 or 1). Bit Patterns are used to represent information.. Numbers. Text characters. Images. Sound. And others. Boolean Operations. 15-213: Introduction to Computer Systems. 2. nd. Lecture, Aug. 26, 2010. Instructors:. . Randy Bryant and Dave . O’Hallaron. Today: Bits, Bytes, and Integers. Representing information as bits. Bit-level manipulations. Slide . 1. Partition Table. 4 Entries. First Entry Starts at offset 0x01BE. Master Boot Record (MBR). MBR “Signature”. 0x55AA. Executable Code. Machine Language Code. Processor Specific. Decodes Partition Table. On the number line the . Numbers have a greater value. As you go to the right.. -6 –5 –4 –3 –2 –1. 0 1 2 3 4 5. Review. Integers. -1 is the largest negative. number.. All Positive numbers are . Essential Question: How do we multiply integers? How do we divide integers?. Multiplying Integers . The product of two integers with the same sign is positive.. The product of two integers with different sign is negative.. 15-213: Introduction to Computer Systems. 3. rd. Lectures, . May . 27th. , . 2014. Instructors:. . Greg Kesden. Today: Bits, Bytes, and Integers. Representing information as bits. Bit-level manipulations. the Number Line. Comparing Rational Numbers. Integers. MCC6.NS.5: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values.. MCC6.NS.6a: Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself , e.g., -(-3) = 3.. Basic Hardware Units of a Computer. Bits and Bit Patterns. Bit:. Binary Digit (0 or 1). Bit Patterns are used to represent information.. Numbers. Text characters. Images. Sound. And others. Boolean Operations. Student Expectation. 7. th. Grade:. 7.1.2C. Use . models, such as concrete objects, pictorial models, and number lines, to add, subtract, multiply, and divide integers and connect the actions to algorithms. . Soup – . er. mathematics. Adding integers. Option 1 . (SAME SIGN). . Add and take the sign of the bigger number.. Option 2. (DIFFERENT SIGNS). . Subtract and take the sign of the bigger number. DSC340. Mike . Pangburn. Agenda. Bits and bytes. Bandwidth (moving bits in time). Using 0’s and 1’s to represent other #’s. Assigning #’s to keyboard characters . Representing pictures as #’s. Analog Signals. Analog. signals : constantly changing values. Difficult to make precise. Digital. Digital. signals : only allowed to have specific values. Binary. Computers are digital systems with 2 possible states: . Gaussian Integers and their Relationship to Ordinary Integers Iris Yang and Victoria Zhang Brookline High School and Phillips Academy Mentor Matthew Weiss May 19-20th, 2018 MIT Primes Conference GOAL: prove unique factorization for Gaussian integers (and make comparisons to ordinary integers) 15-213: Introduction to Computer Systems. 3. rd. Lecture, Sept. 4, 2018. Assignment Announcements. Lab 0 available via course web page and . Autolab. .. Due Thurs. Sept. 6, 11:59pm. No grace days. No late submissions.