2 2 1 1 3 3 9 9 104 103 102 101 1000 100 10 1 1 1 30 30 2000 2000 900 900 2931 2931 + + + 22 21 20 4 2 1 1 1 0 6 6 4 + 2 + 0 21 20 2
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used in computing? Decimal, Binary and Hexadecimal 2. What is the BASE of Decimal? How many characters? 10 is the base of Decimal and its 10 characters. 3. What is the base of Binary? How many characters? 2 is the base of Decimal and its 2 characters 4. What number system is used for everyday math? Decimal 5. What number system is used to store data by computers? Binary 0 and 1 6. List the decimal to binary conversion methods. Binary conversion charts methods and
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the assignment link in Blackboard. Calculators Are Not Allowed What is the Decimal value of the Binary number: 0001 _____1___________ What is the Decimal value of the Binary number: 1111 _______15_________ What is the Decimal value of the Binary number: 1011 _____11___________ What is the Decimal value of the Binary number: 11100111 ______231__________ What is the Decimal value of the Binary number: 00110111 ________55________ Lab Questions Part 2 (5 pts each) Use the instruction
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Gian Ciannavei Lab 2: Number Conversion Lab Task 1: Below is an example that shows how to 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
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into binary. 2. Show how to convert a binary number into decimal. 3. Show how to convert a decimal number into hexadecimal. 4. Show how to convert a hexadecimal number into decimal. Required Setup and Tools In this laboratory, you will need only paper and pencil to do the required work. However, you may use a calculator such as the Windows calculator to verify the results of a calculation. Recommended Procedures Task 1: Procedure * Convert the decimal number 125 into binary. Use the
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Izaak Cook NT 1210 Intro to Networking Unit 1. Lab 1.2: Binary Math and Logic Exercise 1.2.1 1 0 0 1 + 1 1 0 Binary 1111 = 15 Decimal 2. Exercise 1.2.2 1 1 0 1 0 1 Binary 1011 = 11 Decimal 3. Exercise 1.2.3 1 1 1 1 1 1 Binary 1110 = 14 Decimal 4. Exercise 1.2.4 100 2 OR 011 2 = 111 = 7 5. Exercise 1.2.5 111 2 AND 100 2 = 100 = 4 6. Exercise 1.2.6 NOT 1001 2 = 0110 2 = 6 Exercise 1.2.7 1010 2 + 10 2 = 1100 2 + 10 2 (= 2) = 1110 2 Exercise
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all the characters on a computer with matching binary values ex: a = 110001 in ASCII which uses a 7bit code. 7. Character encoding scheme is another name for character set? a. True 8 & 9. Complete the following Decimal to binary chart. Decimal | Binary | | Decimal | Binary | 193 | 11000001 | | 255 | 1111111 | 52 | 00110100 | | 19 | 10011 | 50 | 110010 | | 172 | 10101100 | 170 | 10101010 | | 14 | 1110 | 6 | 110 (binary) | | 0 | 0000 | 10. Which of the following
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1. Convert the decimal number 125 into binary. 125 /2 = 62 r = 1 62 /2 = 31 r = 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
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GENERALIZED TECHNICAL DATA PROCESSING: 1. Moore’s Law: Actual Meaning – April 1965 Gordon made an observation that approximately every 18-24 months twice as many semiconductors can be stored on a chip/ double storage capacity (NOT a LAW) 2. Moore’s Law: Generalized meanings – the speed of computers is set to double every two years 3. Central Processing Unit (CPU) and the three primary components thereof – the electronic circuitry within a computer that carries out the instructions of
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to Operating Systems) BINARY AND HEXADECIMAL: Numbering Systems Binary has TWO symbols (0-1); decimal has TEN (0-9), and hexadecimal has SIXTEEN (0-9, A-F). Write binary out in sets of four digits each time. Each binary digit is called a “bit”. Eight bits make up a Byte, and four bits are a nibble. Each hex digit represents one nibble. Use 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
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