NUMBER SYSTEM Definition It defines how a number can be represented using distinct symbols. A number can be represented differently in different systems‚ for instance the two number systems (2A) base 16 and (52) base 8 both refer to the same quantity though the representations are different. When we type some letters or words‚ the computer translates them in numbers as computers can understand only numbers. A computer can understand positional number system where there are only a few symbols
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IBM PC used the __________ microprocessor. 5. What is the decimal number 36 converted into binary? 6. What is the binary number 11111 converted into decimal? 7. What is the largest decimal number that can be represented with 7 bits? 8. What power of 2 equals 65‚536? 9. A motherboard contains 2 GB of RAM. How many bytes is this? 10. What is the hexadecimal symbol equivalent to the binary number 1010? 11. Which of these is not a Boolean operation?
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List the first 16 numbers in base 12. Use the alphabets A and B for the last two digits. (4) Base 10 | Base 12 | 0 | 0 | 1 | 1 | 2 | 2 | 3 | 3 | 4 | 4 | 5 | 5 | 6 | 6 | 7 | 7 | 8 | 8 | 9 | 9 | Last two Digits 10 | A | 11 | B | 12 | 10 | 13 | 11 | 14 | 12 | 15 | 13 | 2. What is the largest binary number that can be obtained by 16 bits? Mention its decimal equivalent. (4) Largest binary number is (11111111111111111111)2 = (65535)10 Number of bits=n=16 2n-1=216-1=(65535)10
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10th Real Numbers test paper 2011 1. Express 140 as a product of its prime factors 2. Find the LCM and HCF of 12‚ 15 and 21 by the prime factorization method. 3. Find the LCM and HCF of 6 and 20 by the prime factorization method. 4. State whether13/3125 will have a terminating decimal expansion or a non-terminating repeating decimal. 5. State whether 17/8 will have a terminating decimal expansion or a non-terminating repeating decimal. 6. Find the LCM and
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on bones to represent numbers. circa 5‚000 B.C.: The Egyptians use a decimal number system‚ a precursor to modern number systems which are also based on the number 10. The Ancient Egyptians also made use of a multiplication system that relied on successive doublings and additions in order to find the products of relatively large numbers. For example‚ 176 x 313 might be calculated by first finding the double of 313 (313 x 2 = 626)‚ then finding the double of that number (313 x 4 = 1252)‚ the double
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Decimals decimals 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. Decimals also refer to decimal fractions. To understand decimal numbers you must first know about Place Value. When we write numbers‚ the position (or "place") of each number is important. History of Decimals The Arabic numeral system is considered one of the most significant developments in mathematics‚ and
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Number Systems Base 2: The Binary Number System Base 8: The Octal Number System Base 16: The Hexadecimal Number System Learning Objectives • At the end of the lesson the student should be able to: – Identify the different number base system – Convert base ten numbers to base two‚ eight or sixteen – Convert base two‚ eight or sixteen numbers to base ten – Perform basic operations on various base numbers Number Base • What is a number base? A number base is a specific collection
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The ancient Maya used a mathematical system that is “vigesimal.” A vigesimal counting system is based on 20 units (0 - 19)‚ instead of the 10 unit (0 - 9) based counting system that we use today called the decimal system. The decimal mathematical system widely used today is believed to have possibly originated by counting the number of fingers that the average person has. Counting with our fingers gives us our ten unit based metric system. It is believed that the Maya possibly began counting with
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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. Modern computer hardware and software systems commonly use a binary representation internally (although many early computers‚ such as the ENIAC or the IBM 650‚ used decimal representation internally). For external use by computer specialists‚ this binary representation is sometimes presented in the related octal or hexadecimal systems. For
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IX Mathematics Chapter 1: Number Systems Chapter Notes Key Concepts 1. 2. 3. 4. 5. Numbers 1‚ 2‚ 3…….‚ which are used for counting are called Natural numbers and are denoted by N. 0 when included with the natural numbers form a new set of numbers called Whole number denoted by W -1‚-2‚-3……………..- are the negative of natural numbers. The negative of natural numbers‚ 0 and the natural number together constitutes integers denoted by Z. The numbers which can be represented in the form of p/q where
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