...Decimal-Binary-Hexadecimal Conversion Chart This chart shows all of the combinations of decimal, binary and hexadecimal from 0 to 25 5 decimal. When m aking a change in a C V this chart will show the conversion for different nu mb ering system s. Som e deco ders sp lit the C V in to tw o pa rts. W hen y ou mo dify a CV you need to w rite back all 8 bits. T his cha rt will help deter min e the co rrect bit va lue a C V. Decimal Binary Hex Decimal Binary Hex Decimal Binary Hex Decimal Binary Hex Bit N o.> 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 76543210 00000000 00000001 00000010 00000011 00000100 00000101 00000110 00000111 00001000 00001001 00001010 00001011 00001100 00001101 00001110 00001111 00010000 00010001 00010010 00010011 00010100 00010101 00010110 00010111 00011000 00011001 00011010 00011011 00011100 00011101 00011110 00011111 00100000 00100001 00100010 00100011 00100100 00100101 00100110 00100111 00101000 00101001 00101010 00101011 00101100 00101101 00101110 00101111 00110000 00110001 00110010 00110011 00110100 00110101 00110110 00110111 00111000 00111001 00111010 00111011 00111100 00111101 00111110 00111111 0 1 2 3 4 5 6 7 8 9 A B C D E F 10 11 12 13 14 15 16 17 18 19 1A 1B 1C 1D 1E 1F 20 21 22 23 24 25 26 27 28 29 2A 2B 2C 2D 2E 2F 30 31 32 33 34 35 36 37 38 39 3A 3B 3C 3D 3E 3F 64 65 66 67 68 69 70 71 72 73 74 75 76 77...
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...The Hexadecimal Company Case Analysis pg, 167 I. Problems A. Macro The Hexadecimal Company in recent years was forced to change their product market due to lower labor costs by companies in competition. With this change of product came rapid growth and systemic problems within the company. The President, John, Zoltan, decided to created an Organizational Development (OD) group to help address change and managerial style within the company. However, this OD group was not accepted well within the organization and many felt as though this group was a waste of time, energy and resources. Employees did not want to participate in the training although forced to attend. In the beginning of the group’s development, the members and Zoltan were meeting once a week, relaying quality data and information up to the president for situational awareness and feedback. Zoltan became less involved with the OD group during his absences while traveling abroad for business trips. He did not appoint the group with a leader/manager, because of this, some members of the group are unhappy with the current situations. Some members feel as though there is favoritism with those allowed or some have easier access to speak to Zoltan without appointments (i.e. lunch or coffee meetings). These hostilities could have been avoided if Zoltan appointed a leader or even perhaps one speaker, over the group. An advantage of having one speaker for the group is that this one individual can...
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...Introduction to Binary Numbers How Computers Store Numbers Computer systems are constructed of digital electronics. That means that their electronic circuits can exist in only one of two states: on or off. Most computer electronics use voltage levels to indicate their present state. For example, a transistor with five volts would be considered "on", while a transistor with no voltage would be considered "off." Not all computer hardware uses voltage, however. CD-ROM's, for example, use microscopic dark spots on the surface of the disk to indicate "off," while the ordinary shiny surface is considered "on." Hard disks use magnetism, while computer memory uses electric charges stored in tiny capacitors to indicate "on" or "off." These patterns of "on" and "off" stored inside the computer are used to encode numbers using the binary number system. The binary number system is a method of storing ordinary numbers such as 42 or 365 as patterns of 1's and 0's. Because of their digital nature, a computer's electronics can easily manipulate numbers stored in binary by treating 1 as "on" and 0 as "off." Computers have circuits that can add, subtract, multiply, divide, and do many other things to numbers stored in binary. How Binary Works The decimal number system that people use every day contains ten digits, 0 through 9. Start counting in decimal: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, Oops! There are no more digits left. How do we continue counting with only ten digits? We add a second...
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...bottom of the page. HINT: Use the scientific calculator on your computer (Calc.exe) to check your work; click on View – Scientific in XP, or View – Programmer in Windows 7. Part A: Counting in Binary, Decimal, and Hexadecimal. Fill in the symbols and digits below. Binary Decimal Hexadecimal Binary Decimal Hexadecimal 0000 0 0 1000 8 8 0001 1 1 1001 9 9 0010 2 2 1010 10 A 0011 3 3 1011 11 B 0100 4 4 1100 12 C 0101 5 5 1101 13 D 0110 6 6 1110 14 E 0111 7 7 1111 15 F Part B: Binary to Decimal and Hexadecimal. Complete the chart. Add h to each hex number. Fill in the power of 2’s as well. *2^ means “2 to the power of”; for example, 2^5 = 2 * 2 * 2 * 2 * 2 = 64 No. Binary (1 Byte format) 128 64 32 16 8 4 2 1 Decimal Hexa-decimal *2^ 2^ 25 2^ 2^ 22 2^ 2^ 1 11001100 1 1 0 0 1 1 0 0 128+64+8+4=204 CCh 2 10101010 3 11100011 4 10110011 5 00110101 6 00011101 7 01000110 8 10110001 9 11000001 10 11110000 Part C: Decimal to Binary: Complete the following table to practice converting a number from decimal notation to binary format. Mark each hexadecimal number with h. No. Decimal 128 64 32 16 8 4 2 1 Add them up to check Hexadecimal 11 49 0 0 1 1 0 0 0 1 32+16+1=49; 0011=3;0001=1 31h 12 15 13 77 14 140 15 252 16 222 17 192 18 169 19...
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...BINDEC import java.util.Scanner; public class Binary_Decimal { Scanner scan; int num; void getVal() { System.out.println("Binary to Decimal"); scan = new Scanner(System.in); System.out.println("\nEnter the number :"); num = Integer.parseInt(scan.nextLine(), 2); } void convert() { String decimal = Integer.toString(num); System.out.println("Decimal Value is : " + decimal); } } class MainClass { public static void main(String args[]) { Binary_Decimal obj = new Binary_Decimal(); obj.getVal(); obj.convert(); } } ------------------------------------------- import java.util.Scanner; public class Binary_Octal { Scanner scan; int num; void getVal() { System.out.println("Binary to Octal"); scan = new Scanner(System.in); System.out.println("\nEnter the number :"); num = Integer.parseInt(scan.nextLine(), 2); } void convert()...
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...in the number * The base of the number system (where base is defined as the total number of digits available in the number system). TYPES OF NUMBER SYSTEM: There are four types of number systems: * Binary number system * Decimal number system * Octal number system * Hexadecimal number system BINARY NUMBER SYSTEM In mathematics and computer science, the binary numeral system, or base-2 numeral system, represents numeric values using two symbols: typically 0 and 1. More specifically, the usual base-2 system is a positional notation with a radix of 2. Numbers represented in this system are commonly called binary numbers. And it is also the most commonly number system in computer DECIMAL NUMBER SYSTEM The decimal numeral system (also called base ten or occasionally denary) has ten as its base. It is the numerical base most widely used by modern civilizations. OCTAL NUMBER SYSTEM The octal, or base 8, number system is a common system used with computers. Because of its relationship with the binary system, it is useful in programming some types of computers. HEXA DECIMAL NUMBER SYSTEM In mathematics and computer science, hexadecimal (also base 16, or hex) is a positional numeral system with a radix, or base, of 16. It uses sixteen distinct symbols, most often the symbols 0–9 to represent values zero to nine, and A, B, C, D, E, F (or alternatively a–f) to represent values ten to...
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...Conversion of decimal to hexadecimal. You are to develop a program in C++ which converts a decimal (base 10 number) to hexadecimal (base 16). The following table defines the conversion of a decimal digit to the corresponding hexadecimal value. |Decimal |Hexadecimal | |0 |0 | |1 |1 | |2 |2 | |3 |3 | |4 |4 | |5 |5 | |6 |6 | |7 |7 | |8 |8 | |9 |9 | |10 |A | |11 |B | |12 |C | |13 |D | |14 |E | |15 |F | The simple algorithm to perform the conversion is to: 1...
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...Binary Decimal Octal and Hexadecimal number systems A number can be represented with different base values. We are familiar with the numbers in the base 10 (known as decimal numbers), with digits taking values 0,1,2,…,8,9. A computer uses a Binary number system which has a base 2 and digits can have only TWO values: 0 and 1. A decimal number with a few digits can be expressed in binary form using a large number of digits. Thus the number 65 can be expressed in binary form as 1000001. The binary form can be expressed more compactly by grouping 3 binary digits together to form an octal number. An octal number with base 8 makes use of the EIGHT digits 0,1,2,3,4,5,6 and 7. A more compact representation is used by Hexadecimal representation which groups 4 binary digits together. It can make use of 16 digits, but since we have only 10 digits, the remaining 6 digits are made up of first 6 letters of the alphabet. Thus the hexadecimal base uses 0,1,2,….8,9,A,B,C,D,E,F as digits. To summarize Decimal : base 10 Binary : base 2 Octal: base 8 Hexadecimal : base 16 Decimal, Binary, Octal, and Hex Numbers Decimal 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Binary 0000 0001 0010 0011 0100 0101 0110 0111 1000 1001 1010 1011 1100 1101 1110 1111 Octal 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 Hexadecimal 0 1 2 3 4 5 6 7 8 9 A B C D E F Conversion of binary to decimal ( base 2 to base 10) Each position of binary digit can be replaced by an equivalent power of 2 as shown below...
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...system are used in the computer field. Digital computers internally use the binary (base 2) number system to represent data and perform arithmetic calculations. The binary number system is very efficient for computers, but not for humans. Representing even relatively small numbers with the binary system requires working with long strings of ones and zeroes. The hexadecimal (base 16) number system (often called "hex" for short) provides us with a shorthand method of working with binary numbers. One digit in hex corresponds to four binary digits (bits), so the internal representation of one byte can be represented either by eight binary digits or two hexadecimal digits. Less commonly used is the octal (base 8) number system, where one digit in octal corresponds to three binary digits (bits). In the event that a computer user (programmer, operator, end user, etc.) needs to examine a display of the internal representation of computer data (such a display is called a "dump"), viewing the data in a "shorthand" representation (such as hex or octal) is less tedious than viewing the data in binary representation. The binary, hexadecimal , and octal number systems will be looked at in the following pages. The decimal number system that we are all familiar with is a positional number system. The actual number of symbols used in a positional number system depends on its base (also called the radix). The highest numerical symbol always has a value of one less than the base. The decimal number system...
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...the following example. 125/2 = 62 remainder 1 (LSB – Least Significant Bit) 62/2 = 31 remainder 0 31/2 = 15 remainder 1 15/2 = 7 remainder 1 7/2 = 3 remainder 1 3/2 = 1 remainder 1 ½ = 0 remainder 1 (MSB – Most Significant Bit) Answer: 1111101 Task 2: Convert the binary number 10101101 into decimal. Use the method of adding weights as shown in the example from Task 1. Answer: 173 Proof: 173/2 = 86 remainder 1 86/2 = 43 remainder 0 43/2 = 21 remainder 1 21/2 = 10 remainder 1 10/2 = 5 remainder 0 5/2 = 2 remainder 1 2/2 = 1 remainder 0 1/2 = 0 remainder 1 Task 3: Convert the decimal number 210 into hexadecimal. Use the division- by- sixteen method shown in the following example. 210/16 = 13 remainder 2 13 / 16 = 0 remainder 13 Remainders are 13 and 2 13 = D Answer: D2 Task 4: Convert the hexadecimal number E7 into decimal. Convert the hexadecimal number E7 into binary, and then convert the binary result into decimal to prove your answer is correct. Use information from all previous examples to guide you. Answer: 231 Proof: E = 1110 and 7 = 0111 – Binary Number 11100111 231/2 = 115 remainder 1 115/2 = 57 remainder 1 57/2 = 28 remainder 1 28/2 = 14 remainder 0 14/2 = 7 remainder 0 7/2 = 3 remainder 1 3/2 = 1 remainder 1 ½ = 0 remainder...
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...COIS 1010 Final Exam Review Short Answer Questions: 1. What is the difference between a class and an object. Use an example. Class: A template for creating an object, a general category. Ex// Animals or Buildings Object: A specific thing that encompasses the functions of the class it belongs to, but is individualized. Ex// Rocky (my dog) or My house 2. Differentiate between a sequential and simultaneous (concurrent) action block in Alice. Give an Example. Sequential: In order Ex// Do in Order function - rabbit moves, then turtle moves, then hamster moves. Simultaneous: At the same time/Together Ex// Do Together function - the rabbit, turtle and hamster move. 3. When creating programs (Worlds) in Alice, it was suggested that you use an Incremental Development Process (IDP). What does that mean and what is its primary advantage? IDP: Working on one thing at a time. Advantage: One can text functions/expressions as they are implemented to make sure that have the desired affect. 4. Describe four types of Control Structures available in Alice. i) Do in order - actions occur in sequential order. ii) Do together - actions occur simultaneously. iii) If/Else - if a certain action occurs another action will be done, if a certain action does not occur then a different action will result. iv) Loop - an action will occur continuously for a certain number of times or infinitely. 5. Describe the differences between wired and...
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...00110111 ________55________ Lab Questions Part 2 (5 pts each) Use the instruction document that accompanied this lab to do the following conversions. Replace the red line with your answer. You do not have to specify the base, as that is given in the question. When you are done, upload this file through the assignment link in Blackboard. Calculators Are Not Allowed What is the Hexadecimal value of the Binary number: 0001 _________1_______ What is the Hexadecimal value of the Binary number: 1111 ___F _ ____________ What is the Hexadecimal value of the Binary number: 1011 ________B________ What is the Hexadecimal value of the Binary number: 11100111 ____B7____________ What is the Hexadecimal value of the Binary number: 00110111 __________3 7______ Lab Questions...
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...turn the decimal number ‘125’ into a binary number. 125/2=62 R1 62/2=31 R0 31/2=15 R1 15/2=7 R1 7/2=3 R1 3/2=1 R1 2/1=1 R1 Binary number = 1111101 Task 2: Add correlating weights together to gain decimal value from binary number. 1-2-4-8-16-32-64< Weights 1-1-1-1-1-0-1<Bits 64+32+16+8+4+1=125 Task 3 on next page Gian Ciannavei; Lab 2 Task 3: Below is an example on how to turn the decimal ‘210’ into a hexadecimal using the division by 16 methods. 210/16=13 R2 13 (lsd) 2 (msd) 16-1 <weights 13-2 <Digits=D2 Next is an example of how to turn a hexadecimal into a decimal, in this case, back to ‘210’. 16*13=208 1*2=2 2+208=210 Note: You can also convert the decimal number into binary and turn the binary number into a hexadecimal. 210/2=105 R0 105/2= 52 R1 52/2=26 R0 26/2=13 R0 13/2=6 R1 6/2=3 R0 3/2=1 R1 ½=1 R1 210=11010010 1101=13 0010=2 13(LSD) 2(MSD) =D2 Task 4: Convert hexadecimal number E7 into a decimal. 14(LSD) 7(MSD) =E7 14*16=224 7*1=7 224+7=231 Gian Ciannavei; Lab2 Convert hexadecimal E7 into binary, and then back to decimal to check answers. 14(LSD) 7(MSD) =E7 14*16=224 7*1=7 224+7=231 231/2=115 R1 115/2=57 R1 57/2=28 R1 28/2=14 R0 14/2=7 R0 7/2=3 R1 3/2=1 R1 ½=1 R1 Binary =...
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...Number Systems: An Introduction to Binary, Hexadecimal, and More by Jason Killian13 Feb 2012 Ever see crazy binary numbers and wonder what they meant? Ever see numbers with letters mixed in and wonder what is going on? You'll find out all of this and more in this article. Hexadecimal doesn't have to be scary. (Thanks to the ReBoot Wiki for the thumbnail image.) Introduction: What is a Number System? You probably already know what a number system is - ever hear of binary numbers or hexadecimal numbers? Simply put, a number system is a way to represent numbers. We are used to using the base-10 number system, which is also called decimal. Other common number systems include base-16 (hexadecimal), base-8 (octal), and base-2 (binary). In this article, I'll explain what these different systems are, how to work with them, and why knowing about them will help you. Activity Before we get started, let's try a little activity for fun. There are many different ways to represent a color, but one of the most common is the RGB color model. Using this model, every color is made up of a combination of different amounts of red, green, and blue. You may be wondering how colors relate to number systems. In short, on a computer, any color is stored as a large number: a combination of red, green, and blue. (We'll go into more detail on this later.) Because it's just a number, it can be represented in multiple ways using different number systems. Your job is to guess how much red, green...
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...0 31 /2 = 15 r=1 15 /2 = 7 r=1 7 /2 = 3 r=1 3 /2 = 1 r=1 1 /2 = 0 r=1 01111101 2. Convert your binary results back into decimal to prove your answer is correct. Weights = 128 64 32 16 8 4 2 1 Bits = 0 1 1 1 1 1 0 1 64+32+16+8+4+1=125 Task 2: Procedure 1. Convert the binary number 10101101 into decimal. Use the method of adding weights as shown in the example from Task 1. Weights =128 64 32 16 8 4 2 1 Bits =1 0 1 0 1 1 0 1 128+32+8+4+1=173 2. Use the windows calculator to prove your answer is correct. 10101101=173 Task 3: Procedure 1. Convert the decimal number 210 into hexadecimal. 210 /16 = 13 r = 2 13 /16 = 0 r = 13 132 2. Convert your hexadecimal result back into decimal to prove your answer. Weights = 16 1 Bits = 13 2 (16*13)+(1*2) = 210 Task 4: Procedure 1. Convert the hexadecimal number E7 into decimal. 231 2. Convert the hexadecimal number E7 into binary then convert the binary results into decimal to prove your answer. 231/2 = 115 r = 1 115/2 = 57 r = 1 57/2 = 28 r = 1 28/2 = 14 r = 0 14/2 = 7 r = 0 7/2 = 3 r = 1 3/2 =1 r = 1 1/2 = 0 r = 1...
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