Convert the following numbers to excess-16 floating point "tiny IEEE format". Assume one bit for sign, 5 for the exponent and 8 for the significant. Add them up and normalize the result. а. 127 b. 39
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A: SUMMARY: - Hence, we discussed all the points.
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- 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.Show how each of the following floating point values would be stored using IEEE-754 single precision (be sure to indicate the sign bit, the exponent, and the significand fields): 26.625Show 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
- Calculate (3.41796875 *10-3 * 6.34765625 *10-3) by hand, assuming each of the values arestored in the 16-bit half precision format described in in the textbook. Assume 1 guard, 1 roundbit, and 1 sticky bit, and round to the nearest even. Show all the steps, and write your answer inthe 16-bit floating point format.Show how each of the following floating-point values would be stored using IEEE-754 single precision (be sure to indicate the sign bit, the exponent, and the significand fields): a) 12.5 b) -1.5 c) 0.75 d) 26.6251. Convert the given floating point format to decimal. BE580000; 32-bit format. These is the example that might help... see the picture below.
- Please 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 (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.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 01100000000000000000000
- 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.(b) Convert the following decimal number to IEEE 32-bit floating-point format i) -16.625 X 10 ^ 4 ii) -3013.31251. Convert the given decimal to floating point format. -0.09375; 32-bit format . These is the example that might help..see the picture below.