For 10 bits floating point representation using: seeeefffff, what is the bias for denormalized numbers? A. 7 B. 6 C. 4 D. 3 E. 2 What is the range of integers that can be represented using 8 bits 2's complement? A. -127 to 127 B. -128 to 127 C. -127 to 128 D. 0 to 255 E. 0 to 256
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A. 7
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B. 6
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C. 4
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D. 3
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E. 2
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A. -127 to 127
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B. -128 to 127
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C. -127 to 128
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D. 0 to 255
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E. 0 to 256
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- H - For the IEEE 754 single-precision floating point, write the hexadecimal representation for the following decimal values: (i)–1.0 (ii)– 0.0 (iii)256.015625Assume we are using a simple model for floating-point representation similar to the one used in Chapter 2 of the textbook which has a 14-bit format, 5 bits for the exponent with a bias of 15 (not 16 as in the textbook), a normalized mantissa of 8 bits, and a single sign bit. Show how the computer would represent the numbers 12.125 using this representation.Assume we are using a simple model for floating-point representation similar to the one used in Chapter 2 of the textbook which has a 14-bit format, 5 bits for the exponent with a bias of 15 , a normalized mantissa of 8 bits, and a single sign bit. Show how the computer would represent the numbers 12.125 using this representation.
- Assume we are using the simple model for floating-point representation discussed in the class (the representation uses a 14- bit format, 5 bits for the exponent with an Excess-M, a significand of 8 bits, and a single sign bit for the number): Convert 22.375 to the floating-point binary representation. Your Answer:Represent -0.65tenin single and double-precision formats: Final representation: (-1)Sx (1 + Fraction) x 2(Exponent –Bias) Single: (1 + 8 + 23) Double: (1 + 11 + 52 )What decimal number is represented by the single-precision number? 1 1000 0001 11000...00001. In a binary coded decimal (BCD) system, 4 bits are used to represent a decimal digit from 0 to 9. For example, 3710 is written as 00110111BCD. (a) Write 28910 in BCD (b) Convert 100101010001BCD to decimal (c) Convert 01101001BCD to binary (d) Explain why BCD might be a useful way to represent numbers
- Assume we are using the simple model for floating-point representation as given in this book (the representation uses a 14-bit format, 5 bits for the exponent with a bias of 15, a normalized mantissa of 8 bits, and a single sign bit for the number): a) Show how the computer would represent the numbers 100.0 and 0.25 using this floating-point format. b) Show how the computer would add the two floating- point numbers in part a by changing one of the numbers so they are both expressed using the same power of 2. c) Show how the computer would represent the sum in part b using the given floating-point representation. What decimal value for the sum is the computer actually storing? Explain.The decimal value -19.625 is equivalent to the IEEE single-precision representation (in hexadecimal starting with 0x... ) Blank 1Floating-Point Representation. What is the floating-point value for binary 4. a) 11000010100000 using the simple model (14-bit format, 5 bits for the exponent with a bias 15, a normalized significand of 8 bits, and a single sign bit for the number)?
- Assume we are using the simple model for floating-point representation as given in this book (the representation uses a 14-bit format, 5 bits for the exponent with a bias of 15, a normalized mantissa of 8 bits, and a single sign bit for the number). What decimal value (no leading/trailing zeros) for the sum of 01011011001000 and 00111010000000 is the computer actually storing?1. Write down the mathematical notation for fixed point representationand floating representation and also explain each term. 2. Consider the following machine number in 64 bit and Precisely represent the above machine number in decimal digits. 0 10000000011 1011100100010000000000000000000000000000000000000000Question 11 Not yet answered P Flag question A computer system uses 8 bits to represent floating-point values. The 8 bits are organised as follows: The first bit is a sign bit (0 for positive, 1 for negative). The middle 3 bits are the exponent, which uses bias of 3. The last 4 bits are the significand, which is normalised in the same way as the significand is normalised in IEEE-754 formats. The format does not reserve any special values. The following arithmetic operation is performed on this system: 00011000 x 11000110 The result is then stored in the same 8-bit floating-point format. What is the relative error of the stored result comapred to the value of the result of the arithmetic operation? Answer s are rounded to 5 decimal places. O a. None of the other answers. O b. 0.03030% O c. 0.03125% O d. 0.97865% O e. 0%