Math plays a very large portion in the lives of every person on the planet. It is used from everyday basic tasks such as shopping for groceries or determining how much of an ingredient should be applied to a dish to determining how much fuel is needed for a spaceship to launch or the appropriate amount of each of the chemicals used to make life saving medications. Number systems, binary logic and random numbers are three reasons why I would need math for my major in network system administration
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time a typical computer user has no need to think about this aspect of computers, but every now and then the underlying binary nature will manifest itself. It’s more likely they will encounter a more compact variant of the binary system, called hexadecimal (or “hex” for short). Hex can come up on a Windows error message and the hex addresses may help pinpoint the source of trouble. Hex can also be used by spammers to hide their internet addresses. Another place where hex numbers commonly occur is
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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
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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
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64+32+16+8+4+1=125 Task 2: Procedure 1. Convert the binary 10101101 into decimal. Use the method of adding weights. 128/1 64/0 32/1 16/0 8/1 4/1 2/0 1/1 128+32+8+4+1=173 Task 3: Procedure 1. Convert the decimal number 210 into hexadecimal. Use the division by 16 method. 2. Convert your hexadecimal result back into decimal to prove your answer is correct. #1. 210 / 16 = 13 R 2 = 2 13 / 16 = 13 = D 210 = D2 #2. 13 x 16 + 2 = 210 Task 4: Procedure 1. Convert the hexidecimal E7 into decimal. 2. Convert the
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a). 100100 = 36 b). 1000001 = 65 c). 11101 = 29 d). 1010 = 10 e). 00100010 = 34(a) 100100 2 = 36 10 (b) 1000001 2 = 65 10 (c) 11101 2 = 29 10 (d) 1010 2 = 10 10 (e) 00100010 2 = 34 10 3. Convert the values in Problem 2 to hexadecimal. a). 100100 = 24 b). 1000001= 41 c). 11101 = 1D d). 1010 =0A e). 00100010 = 22 4. Convert the following hex numbers to binary and decimal: a). 2B9H = 0010 1011
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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
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closest binary value to the decimal value, subtracting that value from the decimal value, and then reintegrating the difference to the next column to be evaluated. The following is a sample program for converting decimal to binary, octal, and hexadecimal. Step 1: Type "=DEC" without quotes in an Excel cell. A drop-down box will prompt you to select DEC2BIN, DEC2HEX or DEC2OCT. Tooltip text will state that DEC2BIN "Converts a decimal number to binary." Step 2: Click "DEC2BIN," the first of the
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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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1. What three numbering systems are 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
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