Convert the number in hexadecimal into decimal by multiplying each digit of a number with 16 raise to the power of weight of digit. 2. Convert the number obtained in decimal into binary dividing the number by 2 until the quotient is zero. Shortcut method 1. Convert each octal digit to a 4-bit equivalent binary representation dividing by 2. 10AF16 = ?2 1 0 A
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work with decimal and hexadecimal numbers. Required Setup and Tools In this lab‚ you will need only paper and pencil to do the required work. However‚ the use of a calculator is permitted to verify the results of a calculation. The Windows calculator may be used for this purpose. Recommended Procedures Task 1: Convert Decimal Number into Binary Procedure 1. Convert the decimal number 125 into binary. Use the division-by-two method shown in the following example below. 2. Convert your binary
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(Task 1) Convert decimal number (125) into binary. 125 /2 = 62 remainder5 1(lsd) 62 /2 = 31 remainder0 o 31 /2 = 15 remainder5 1 15 /2 = 7 remainder5 1 7 /2 = 3 remainder5 1 3 /2 = 1 remainder 5 1 1 /2 = .5 remainder 0 1 .5 /2 = 0 remainder 0 0 Convert your answer back to decimal to prove your answer. 0 1 1 1 1 1 0 1 0+64+32+16+8+4+2+1=125 (task 2) Convert the binary number(10101101) into decimal.
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Task 1: Procedure 1.Convert the decimal number 125 into binary. Use the division-by-two method shown in the following example. 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 result back into decimal to prove your answer is correct. This is also shown in the following example. 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
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Semester and year:Nov14 Written Assignment #2 Review Questions: 1.Convert each of the binary numbers to decimal numbers: A. 2 B. 4 C. 7 D. 11 E. 12 F. 18 G. 21 H. 31 I. 205 J. 227 2.Convert each of the decimal numbers to binary: A. 111 B. 10011 C. 11100 D. 101110 E. 111001 F. 1010110 G. 1011110 H. 1110000 I. 10010100 J. 11100110 3.Convert each of the octal numbers to decimal numbers: A. 30 B. 68 C. 80 D. 142 E. 240 F. 846 4.Convert each of the octal numbers to binary numbers: A. 111100 B. 1011000
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interpreted as the binary symbol for three‚ the decimal symbol for eleven‚ or a symbol for other numbers in different bases. BINARY TO HEXADECIMAL Example 1. Consider Binary: 1000100100110111 (a 16-bit Byte) STEP 1 Break the Byte into ’quartets’ - 1000 1001 0011 0111 STEP 2 Use the table above to covert each quartet to its Hex equivalent - 8937 Therefore ... 1000100100110111 = 8937Hex Converting Decimal to Binary Converting from Decimal to Binary is a little bit harder than going the
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of methods that are used to represent data in computer system‚ namely: 1. Binary Representation 2. ASCII - American Standard Code for Information Interchange 3. EDCDIC - Extended Binary Coded Decimal Interchange Code 4. Binary Coded Decimal (BCD) 5. Sign-and-magnitude 6. Ones Complement 7. Two’s Complement Representation of Characters Data used on the computer for input and output operations are expressed using characters because
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by humans? Used in computers? Decimal 10 0‚ 1‚ … 9 Yes No Binary 2 0‚ 1 No Yes Octal 8 0‚ 1‚ … 7 No No Hexadecimal 16 0‚ 1‚ … 9‚ ‚ ‚ ‚ A‚ B‚ … F No No 1 6/28/2012 Quantities/Counting (1 of 3) Decimal 0 1 2 3 4 5 6 7 Binary 0 1 10 11 100 101 110 111 HexaOctal decimal 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 p. 33 Quantities/Counting (2 of 3) Decimal 8 9 10 11 12 13 14 15 Binary
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"11" to be interpreted as the binary symbol for three‚ the decimal symbol for eleven‚ or a symbol for other numbers in different bases. Ideally‚ a number system will: * Represent a useful set of numbers (e.g. all integers‚ or rational numbers) * Give every number represented a unique representation (or at least a standard representation) * Reflect the algebraic and arithmetic structure of the numbers. For example‚ the usual decimal representation of whole numbers gives every whole number
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25-6 (2 pts. each; 20 points total) 1. F 2. T 3. T 4. F 5. T 6. F 7. T 8. F 9. F 10. F Exercises #1 - #3‚ p.26 (10 pts. Each; 30 points total) #1. Convert the following decimal numbers to binary. 11 dec = 00001011 65 dec = 01000001 100 dec = 01100100 255 dec = 11111111 #2. Convert the following binary numbers to decimal. 1101 = 13 1000 = 8 101011 = 43 #3. What are the ASCII codes for each letter in your name? 83‚ 97‚ 109 Assignment #1 – Chapter #1 M/C
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