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. 11.2265625

2. Assume we are using the simple model for floating-point representation as given in this book (the representation uses a 16-bit format, 5 bits for the exponent with a bias of excess-15, a normalized mantissa of 10 bits, and a single sign bit for the number): Show how the computer would represent the numbers a) +3.53125 and -3.34375 using this floating-point format. a) +3.53125 b)-0.09375

In single precision (IEEE-754 standard), 8 bits are used for storing the exponent (the bias is 127), and 23 bits are used for storing the mantissa.  (a) What are the smallest and the largest positive numbers that can be stored in single precision? (b) What is the smallest value of the mantissa that can be stored?

Write down the binary representation of the decimal number 25.25 assuming the IEEE 754 single precision format and double precision format.

H - For the IEEE 754 single-precision floating point, write the hexadecimal representation for the following decimal values: (i)–1.0 (ii)– 0.0 (iii)256.015625

Please solve and show all work and steps.

1. unsigned binary and decimal representations.a. Give the 16-bit unsigned binary and hexadecimal representations of thedecimal number (2040).b. Give the 16-bit unsigned binary and decimal representations of the hexnumber (B2CF).

9) Decode the following IEEE 754 floating point numbers.  01000010001100000000000000000000 show your work

1. Write down the IEEE double-precision representation for the following decimal numbers: (a) 1.5, using round up. (b) 5.1, using round to nearest. (c) -5.1, using round towards 0. (d) -5.1, using round down.

Floating-Point Representation. What is the floating-point value for binary 4. a) 11000010100000 using the simple model (14-bit format, 5 bits for the exponent with a bias 15, a normalized significand of 8 bits, and a single sign bit for the number)?