Suppose that IEEE-754 32-bit floating-point representation pattern is: 0 10000000 110 0000 0000 0000 0000 0000 What is the sign of the base-10 number
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- J - For the IEEE 754 single-precision floating point, what is the number, as written in binary scientific notation, whose hexadecimal representation is the following? FF80 0000Suppose we need to write the decimal number 55.3125 in IEEE floating point representation. What is the value of the EXPONENT? 10001000 10000010 1000100 0100010In 8-bit binary floating point, what is the mantissa and exponent value of 6.75?
- 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.What are the mantissa and exponent values if 6.75 is represented in 8-bit binary floating-point representation? a) Mantissa is 1011 and exponent is 101 b) Mantissa is 0011 and exponent is 100 c) Mantissa is 1011 and exponent is 100 d) Mantissa is 0011 and exponent is 101Given the following 10-digit mini-IEEE floating point representation 1 0000 00001 What is the corresponding decimal value? Note: You must give the EXACT answer. Enter "-infinity", "+infinity" or "NAN" for the non-numeric cases Number
- In this question, you are provided with a decimal floating-point number. You are asked to encode this value into its IEEE-754 floating-point representation in the form of 8 hexadecimal digits. If rounding is needed, use rounding to the nearest floating-point number. Do NOT add any spaces or commas to your answer. Represent, i.e., encode, 262148.140625 into a 32-bit single-precision IEEE-754 FP value. If rounding is needed, use rounding to the nearest FP number. Your answer MUST BE JUST 8 hexadecimal digits. Write each hexadecimal digit in a field by itself. B } Ox D R D = = }2. Here is a number represented in the IEEE standard single precision format 11010101010101000000000000000000 What is the decimal number represented by this string in the IEEE standard single precision floating point format?a.Represent the number 1.01011010101 x 2-19 in IEEE Standard 754 single precision floating point binary. b.the IEEE Standard 754 representation of a floating point number is given as: 01101110110011010100000000000000. Determine the binary value represented by this number
- Floating 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.The value ofa float type variable is represented using the single-precision 32-bit floating point format of IEEE-754 standard that uses I bit for sign, 8 bits for biased exponent and 23 bits for mantissa. A float type variable X is assigned the decimal value of -1425. The representation of X in hexadecimal notation isX and Y are represented in IEEE single precision floating point notation. Let X = (41D00000)16, Y = (C0000000)16. The result of (x *y) in Decimal is