PPT-DECIMAL ( i ) Introduction

ii Decimal Place iii Like and Unlike Decimals iv Comparing Decimals v Conversion of Decimal into Fractions vi Conversion of Fractions into Decimal vii Addition and subtraction of Decimals. This number representation uses 4 bits to store each digit from 0 to 9 For example 1999 10 0001 1001 1001 1001 in BCD BCD wastes storage space since 4 bits are used to store 10 combinations rather than the maximum possible 16 BCD is often used in b Binary Numbers. Digital electronic circuitry using logic gates. Base-2 number system using two symbols: 0 & 1. A positional notation system with base (radix) of 2. Different Number Systems. Positional number . Lecture 1. August 24. th. Administrivia. Syllabus. Introduction. Quickie Homework 1 . due Wednesday night by midnight in my e-mailbox. I will assume everyone has a laptop… . Syllabus. Details. Instructor: Sandiway Fong. What is 0.75 in binary?. How could we represent fractions?. In decimal:. As fractions : 1/5 . How could we represent fractions?. In decimal:. As fractions : 1/5 . As decimals : 0.2. hundreds. 10. 2. tens. Express Fraction to Decimal. 2. Divide. 1. 2. EX 1). =. Make denominator a power of 10.. OR. X. X. 5. 10. ?. 5. 5. Put numerator behind decimal at appropriate place value. = 0.5. =. 1. 2. top inside. Decimal Leading-Zero . Anticipator. By . Liang-Kai . Wang and . Michael J. Schulte. Joseph Schneider. March 12, 2010. Goal is to improve latency for DFP Adder. Number of modifications performed to achieve this, such as an implementation of a new internal format. Rational Number . Number that can be written as a fraction. -1/5 2 9/8 -6/3. Terminating Decimal . A decimal expansion that terminates in all 0’s. A TERMINATOR stops bugs. . A decimal that stops / ends. Which Numbers are The . Powers of 10. ?. are the numbers produced when, starting with . one . (1), and repeatedly collect them into groups of 10. .. 1, 10, 100 etc. 0.1, 0.01, 0.001 etc. Number Ten (10). Slide . 2. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. . 3.1. Decimal Notation, Order, and Rounding. 3.2. Addition and Subtraction. 3.3. Multiplication. 3.4. Division. 3.5. Converting from Fraction Notation to Decimal Notation. – Introduction to Decimals. Decimal Notation and Writing Decimals.. 2. , . 4. . 5. . 7. , . 8. . 3. 2 . . 8. . 3. . 0. . 9. . 4. o. nes. tens. hundreds. thousands. ten-thousands. ¾. 0.23. 7/10. 3/100. 5.25. RATIONAL AND IRRATIONAL NUMBERS. OBJECTIVE. TODAY I WILL BE ABLE TO IDENTIFY A NUMBER AS RATIONAL OR IRRATIONAL. TPS. WHAT DOES THE WORD “RATIONAL” MEAN? . WHAT DOES THE WORD “IRRATIONAL” MEAN?. x. is what we don’t know … but it will be the fraction whose decimal equivalent is point-seven repeating.. Since the decimal begins repeating at the 10ths place, we will multiply both sides by 10.. Lesson 2-5. Dividing a Decimal by a Decimal. We NEVER want a decimal in the divisor.. If you have a decimal in the divisor, you need to bump it over until it is all the way over to the right of the number.. EE 200. Digital Logic Circuit Design. Dr. . Muhamed. . Mudawar. King Fahd University of Petroleum and Minerals. Welcome to EE 200. Course Webpage:. . http://faculty.kfupm.edu.sa/coe/mudawar/ee200/.