If an unsigned 8-bit integer were to be extended to a 16-bit one, the first 8 most significant bits (MSB) would be filled with ones, creating a signed 16-bit representation. Pick a solution from these two options: Is it true or false that...?
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If an unsigned 8-bit integer were to be extended to a 16-bit one, the first 8 most significant bits (MSB) would be filled with ones, creating a signed 16-bit representation. Pick a solution from these two options: Is it true or false that...?
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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.Assume we have a byte system for the fixed number representation (the whole number is presented with 8-bits (one byte) and the fractional part is presented with 2-bits), find the 2's complement of 0110 0010.01 The answer should be formatted as a fractional 2's complement binary number representation with the exact format of the answer that is required of this particular calculation. I've gotten an answer of 1001 1110.00 but it says its wrong please helpCalculate (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.
- Consider a hypothetical 8 bit floating point machine representation with a sign bit, a 3 bit exponent, and a 4 bit mantissa (se1e2e3b1b2b3b4), where the exponent bias is 3 (add 3 to exponent of number to form machine representation). Recall that actual mantissa has 5 bits, since the leading 1 is not stored on the machine. (a) What is the number ?≈2.718 in this 8-bit format? (b) What is the number that (10100111)2 represents in this 8-bit format? (c) What is the upper bound of the relative error when representing a real number in this 8-bit format?Are you able to differentiate between the least significant bit and the most significant bit in a given set of data?Given a 10-bit floating-point number with a 4-bit exponent field which follows IEEE floating point rules except for the above sizes: What is the hexadecimal representation of the bit-pattern representing minus infinity? Give the hexadecimal representation of the bit-pattern and the decimal value of the smallest positive number. Give the hexadecimal representation of the bit-pattern and the decimal value of the smallest positive normalized number. Give the hexadecimal representation of the bit-pattern and the decimal value for the most negative number which is not minus infinity. Give the smallest and largest ULP values possible in this representation. You should use a calculator to solve this problem.
- 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 01100000000000000000000Using 8 bits, what is the unsigned binary representation of each of the following values: A. 23 B. 55 C. 275 Please show the end result and please explain how you got the end result.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.
- The Hewlett-Packard 2114, 2115, and 2116 used a format with the left most 16 bits being the fraction stored in two’s complement format, followed by another 16-bit field which had the left most 8 bits as an extension of the fraction (making the fraction 24 bits long), and the rightmost 8 bits representing the exponent. However, in an interesting twist, the exponent was stored in signmagnitude format with the sign bit on the far right! Write down the bit pattern to represent 1.5625 101 assuming this format. No hidden 1 is used. Comment on how the range and accuracy of this 32-bit pattern compares to the single precision 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.Consider the following floating point representation where each number has 2exponent bits and 5 fraction bits. The exponent bias is 1. Round each number tohave 3 fraction bits. Apply round-to-even and round-toward-zero modes.a. 1 10 11100b. 0 00 00101c. 1 01 10101i. Can you see a pattern for rounding floating point numbers when thenumber of exponent bits are intact?