Perform 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 decimal
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Perform 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 decimal
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- A(n) __________ is an integer stored in double the normal number of bit positions.___________ occurs when the result of an arithmetic operation exceeds the number of bits available to store it.Data represented in ________ is transmitted accurately between computer equipment from different manufacturers if each computer’s CPU represents real numbers by using an IEEE standard notation.
- This problem covers floating-point IEEE format.(a) Assuming single precision IEEE 754 format, what is the binary pattern for decimal number 6.16?(b) Assuming single precision IEEE 754 format, what decimal number is represented by this word:0 01111110 011000000000000000000001. Floating Point Numbersa. Show the difference between IEEE 16, 32, 64, 128-bit floating-point numbers.b. Express the following numbers in hexadecimal IEEE 32-bit floating-pointformat. i. 320ii. -62Answer 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: 10111111110100000000000000000000
- Calculate (3.41700875 *10-3 + 6.34005625*10-3)* 1.25625* 102 by hand, assuming each of the values are stored in the 16-bit half precision format describedin in the textbook. Assume 1 guard, 1 round bit, and 1 sticky bit, and round to thenearest even. Show all the steps, and write your answer in both the 16-bit floating point format and in decimal.With step by step solution please Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below. Show the sign, exponent, and mantissa (significand). a. 11.2265625Please solve and show all work and steps. What decimal number does the bit pattern (0A000000)16 represent if it is a floating-point number? Use the IEEE 754 standard.
- Calculate (4.41762275 *10-3 + 6.34225625 *10-3) * 1.05225 * 102 by hand, assuming each of the values are stored in the 16-bit half precision format described in in the textbook. Assume 1 guard, 1 round bit, and 1 sticky bit, and round to the nearest even. Show all the steps, and write your answer in both the 16-bit floating point format and in decimal.1) Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?1)Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?