1. Convert the following decimal numbers into their IEEE-754 single-precision (32-bit) representations. Give your answers in hexadecimal form. All intermediate steps must be clearly shown. A single result will not receive marks a. 655.34375 b. -1.875 c. 0.734375
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- 2. Convert the IEEE 754 single precision binary representation to a decimal number 1001 1001 1011 0000 0000 0000 0000 0000 Note: make sure that in final answer the fraction is in base 10 (at most 3 digits). You don't need to change the power of 2 in a power of 10.Expressnumber –62 in hexadecimal IEEE-75432-bit floating-point format.Show all the steps.Determinethe Decimal Value (Base 10) of the following IEEE-754 32-bit floating-point representation. Show your working. (Hint: identify the sign bit, the biased exponent and the trailing significand /mantissa). 0 01111111 110 0000 0000 0000 0000 0000
- Determine the Decimal Value (Base 10) of the following IEEE-754 32-bit floating-point representation. Show your working. (Hint: identify the sign bit, the biased exponent and the trailing significand /mantissa).0 01111111 110 0000 0000 0000 0000 0000Given this IEEE-754 32 bit floating point value: 110010100 00000000000000000000011 convert it into its decimal representation (use a calculator for the division step) (Hint: 223 = 8,388,608)Please solve and show all work. Thank you. What is 5ED4 - 07A4 when these values represent unsigned 16-bit hexadecimal numbers? The result should be written in hexadecimal. Show your work. What decimal number does the bit pattern (0C000000)16 represent if it is a floating-point number? Use the IEEE 754 standard. Write down the binary representation of the decimal number 63.25, assuming the IEEE 754 double precision format. What are the corresponding MIPS instructions to this C code: C code: float f2c (float fahr) { return ((5.0/9.0)*(fahr - 32.0));} if fahr in $f10, result in $f2, literals in global memory space.
- Convert the following IEEE 754 single-precision numbers in hexadecimal into their decimal values accurate to 7 significant figures. All intermediate steps must be clearly shown. A single result will not receive marks. a. 0x3d4c0000 b. 0x40bc0000A simplified IEEE-754 floating-point representation uses 1 bit for the sign, 5 bits for the exponent, and 4 bits for the fractional mantissa. Here is a binary value in that representation: 0 01011 0110 The 5-bit exponent uses excess-15 for its representation. Convert this to decimal (base 10). Please use at least 3 decimal places. Don't round the integer portion. Remember the sign if the number is negative!Given two 32-bit single-precision Floating-point number representation (IEEE-754) in normalized form, Give their sum (A+B) in IEEE-754. A: 11000000010110100101010000000000 B: 11000000010110100101010000000000
- Given the following decimal numbers 15.0625, -35.6875, 86.5625, and 0.125, represent them in IEEE 754 binary representations in single precision float.1. Write down the IEEE double-precision representation for the following decimal numbers: (a) 1.5, using round up. (b) 5.1, using round to nearest. (c) -5.1, using round towards 0. (d) -5.1, using round down.Consider a 6-bit two's complement representation. Fill in the box with question mark "?" in the following table. You don't need to care about "n/a." Binary Number Representation TMax + ? TMax Please input the binary representation in this format xxxxxx. For example, if the answer is 010010, please input 010010. Answer: