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Question 1 The numbers given belong to binary number system calculate (a) decimal weightage of these numbers considering them to be signed binary numbers, (b) find 1’s complement and 2’s complement of each number while taking them as unsigned numbers.
(a) 1010101 (b) 0110011 (c) 111110011
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- A(n) __________ is an integer stored in double the normal number of bit positions.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.___________ occurs when the result of an arithmetic operation exceeds the number of bits available to store it.
- 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. 11.22656256. 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).b. 11.22656251) 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?
- 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.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.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.
- 4) Write the binary representation of the decimal number 63.25 assuming the IEEE 754 double precision format. (32-bit double precision: 11 bits for exponent (1023 bias) + 52 bits for base) Show your work leading to your answer (sign bit, exponent bits, base bits) as to how you derived your final 64-bit answer.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.Represent the following decimal numbers in binary using 8-bitsigned magnitude, one’s complement, two’s complement, andexcess-127 representations:1. a) 972. b) −973. c) 444. d) −44