Show how the decimal floating point number -76.310 is stored in the computer's storage using IEEE754 32-bit single precision format. Assume "0" represents positive sign and "I" represents negative sign. Show your conversion steps clearly.
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- A(n) __________ is an integer stored in double the normal number of bit positions.Computer Architecture: Add the following decimal numbers in biased floating point binary format an leave in biased floating point binary format to 3 digits to the right of the binary point. 7.4510 + - 3.12510 10.75 + 4.6510Please answer parts a, b, and c of this question. Assume we are using the simple model for floating-point representation as given in the text (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.
- 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 1011100100010000000000000000000000000000000000000000Assume the simple floating point model used in the slides (i.e., 14-bits of storage) a. How would we represent the numbers 67.25 and 47.98Assume we are using the simple model for floating-pointrepresentation as given in the text (the representation uses a 14-bitformat, 5 bits for the exponent with a bias of 15, a normalizedmantissa of 8 bits, and a single sign bit for the number):1. a) Show how the computer would represent the numbers100.0 and 0.25 using this floating-point format.2. b) Show how the computer would add the two floating-pointnumbers in Part a by changing one of the numbers so theyare both expressed using the same power of 2. c) Show how the computer would represent the sum in Partb using the given floating-point representation. Whatdecimal value for the sum is the computer actually storing?Explain.
- The accuracy of the floating point numbers representable in two 16 bit words of a computer is approximately 6 digits why?Why is it that when floating-point arithmetic is done by a binary digital computer, there is always some degree of inaccuracy in the result?Why is it that when floating-point arithmetic is performed by a binary digital computer, there is always some degree of error in the result?
- Answer the following questions on floating-point representation: a) Convert AD510010 16 to an IEEE single-precision floating-point number b) Convert the following IEEE single-precision floating-point number to a decimal number: 10111111110100000000000000000000Fill in the following table to show how the given integers are represented, assuming that 16 bits are used to store values and the machine uses two’s complement notation. Integer Binary Hex 4-Byte Big Endian (Hex value as seen in memory) 4-Byte Little Endian (Hex value as seen in memory) 28 2216 −18675 −12 31456dont use others answers show your work step by step 6a) Find the decimal represented by the 32-bit single precision floating point number for the hexadecimal value C47CD000.