a) Express the following numbers in IEEE 32-bit floating-point format: i. 353.3 ii. -56
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- ___________ occurs when the result of an arithmetic operation exceeds the number of bits available to store it.1. 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. -62This 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 01111100 01100000000000000000000(Hint: remember to use the biased form of the exponent.)
- I - For the IEEE 754 single-precision floating point, write the hexadecimal representation for the following decimal value: 0.52. Write the normalized floating-point representation of (+ 33.025)10. Assume 16 bits to represent mantissa and 8 bits to represent exponents. Compare 84-2-1and 8421 code. Draw a figure for five bits odd parity generator and parity checker.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
- 2. Convert the following binary numbers to floating point format. Assume a binary format consisting of a sign bit (negative = 1), a base 2, 8-bit, excess-128 exponent, and 23 bits of mantissa, with the implied binary point to the right of the first bit of the mantissa.a. 110110.011011b. −1.1111001c. 0.1100×236d. 0.1100×2−36Question 6 a) The IEEE Standard 754 representation of a floating point number is given as: 01101110110011010100000000000000. Determine the binary value represented by this number. b) Convert each of the following 8-bit two’s complement binary values to decimal. i) 10110111(base 2) ii) 01001101(base 2) iii) 11010111(base 2) iv) 01110111(base 2) c) Discuss the differences between static RAM and dynamic RAMD. What is the minimum number of binary bits needed to represent each of the following unsigned decimal integers?I) 65II) 409III) 16385
- 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 0000Assume that the numbers A= 88CC3000 and B = 84EA0000 are Typical IBM 32-bit Floating-Point Format numbers: (i) Find A + B (ii) Find A / B (iii) Convert A to the IEEE Single Precision Floating Format (iv) Convert B to the Double Precision IEEE floating point Format.1) Find the equivalent decimal value of the following floating-point representation using IEEE 754 standard single-precision (32-bit floating-point number with bias = 127) 1 0111 1111 1110 0000 0000 0000 0000 000 (The quiz is expecting a decimal numeric entry. It will automatically suppress leading and trailing zeros. It will display your answer with commas every third digit.) 2) Find an IEEE 754 floating-point representation of -74.2 decimal number. Enter 32 bits without a space. (The quiz is expecting a fill in the blank text string in the entry box and grades on an exact match with the expected result. The answer should be formatted as a 32-bit IEEE 745 binary number representation)