Show how each of the following floating point values would be stored using IEEE-754 double precision (be sure to indicate the sign bit, the exponent, and the significand fields): a) 12.5 b) −1.5 c) 0.75 d) 26.625
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Show how each of the following floating point values would be stored using IEEE-754 double precision (be sure to indicate the sign bit, the exponent, and the significand fields):
- a) 12.5 b) −1.5 c) 0.75 d) 26.625
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- ___________ occurs when the result of an arithmetic operation exceeds the number of bits available to store it.Show how each of the following floating-point values would bestored using IEEE-754 single precision (be sure to indicate the signbit, the exponent, and the significand fields):1. a) 12.52. b) −1.53. c) 0.754. d) 26.625Show how each of the following floating-point values would bestored using IEEE-754 double precision (be sure to indicate the signbit, the exponent, and the significand fields):1. a) 12.52. b) −1.53. c) 0.754. d) 26.625
- 1. Using single precession IEEE 754 floating point representation perform the following operations. i. X+Y Where X=7CA21000, Y=32AB3000 ii. X*Y Where X=0.567 and Y=3.123Perform the following conversions using IEEE 754 floating point notation. Show your work. a. represent 52.21875 in 32-bit binary floating-point format b. convert 32-bit binary floating-point number 0100 0000 0110 0000 0000 0000 0000 0000 to decimalI - For the IEEE 754 single-precision floating point, write the hexadecimal representation for the following decimal value: 0.5
- Write the following fractional numbers using the 16-bit floaty format. show work (а) 3.15 (b) -1290000 (c) 0.00765Assume that the numbers A= 88CC3000 and B = 84EA0000 are Typical IBM 32-bit Floating-Point Format numbers: (1) Find A + B (ii) Find A / B (iii) Convert A to the IEEE Single Precision Floating Format (iv) Convert B to the Double Precision IEEE floating point Format.2. Assume we are using the simple model for floating-point representation as given in this book (the representation uses a 16-bit format, 5 bits for the exponent with a bias of excess-15, a normalized mantissa of 10 bits, and a single sign bit for the number): Show how the computer would represent the numbers a) +3.53125 and -3.34375 using this floating-point format. a) +3.53125 b)-0.09375
- 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 “1" represents negative sign. Show your conversion steps clearly.Show the IEEE 754 binary representation for the following floating- point numbers. a)-6.12510 ➜ To IEEE 754 single precision S E Significand b) +6.12510 To IEEE 754 double precision S E SignificandFloating point calculation: a Show the IEEE 754 representation for the decimal value -0.375 in single precision b. Find the decimal representation for the following single precision floating point number 1011,1111,0111,0000,0000,0000,0000,0000 c. Perform the addition and multiplication of the two floating point numbers in (a) and (b) in binary scientific notation, and represent the sum and product in single precision.