Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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How is it possible to differentiate between the least and most important bits?
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- Calculate arithmetic addition of the following decimal numbers using 8 bit 2's complement representation. -4410 + 2710 Complete the following value from (i) to (vi) with the correct answer. Representation using 1's complement Representation Addition arithmetic Range of 8 bit number (2's complement) Number using 2's complement (2's complement) 4410 (i) (i) (v) (vi) 27 10 (ii) (iv)arrow_forwardShow each of the following calculations in 4-bit two's complement notation. In each case, convert the result (in binary) back to a decimal number. (a) (b) (c) (d) - 5+7 - 3 +3 6-4 -2-3 Suppose we use six bits to represent a two's complement binary number. (a) (b) What is the largest number that can be represented?. What is the smallest number that can be represented? How many total base-10 numbers can be represented? ). Suppose we use six bits to represent a two's complement binary number. Perform the following additions, indicating when overflow occurs: (a) 010101 (b) 100000 001101 110011 100110 111111 (c) (d) 010101 101111arrow_forwardIf you wanted to represent 19 different things, how many bits would you need? Why?arrow_forward
- Using 12 bits, what is the largest binary number.arrow_forwardHow many different values can be represented using 16-bit two’s complement representation? What’s the largest and smallest possible value? Answer the two questions again for n-bit 2’s complement. Please show all steps.arrow_forwardPerform the following conversions: Decimal number -91 to 8 bit two’s complement representation Decimal number -398 into 16-bit two's-complement representationarrow_forward
- A computer stores the floating number in 32 bits where 1 bit for the sign, 8 bits for the exponent with a bias of +127 and mantissa has a hidden bit. Show how the value of 72.25 would be represented in that computer using floating point representation. (2)arrow_forwardConvert the following one's complement signed 8-bit numbers into decimal. Be sure to show all of your work. (a) (0000 1010) 2 (b) (1111 1010) 2 (c) (0111 1010) 2 (d) (1111 1111) 2arrow_forwardDetermine the binary representation of the decimal number -20.0625 assuming the IEEE 754 32-bit format. Give your answer in both binary and hexadecimal.arrow_forward
- In single precision (IEEE-754 standard), 8 bits are used for storing the exponent (the bias is 127), and 23 bits are used for storing the mantissa. (a) What are the smallest and the largest positive numbers that can be stored in single precision? (b) What is the smallest value of the mantissa that can be stored?arrow_forwardWhen a bit is "activated," what does it mean in terms of a number? What does an unconnected bit's numerical representation indicate?arrow_forward
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