Problem 3: Compute the mantissa and exponent required to represent 35.436 in base-2 floating point representation.

Computer science

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)

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

6.75 in 8-bit binary floating-point representation has what mantissa and exponent values?

(a) Find the base 8 representation of 223. (b) In what base b will the number (111)b = 7310? Explain please!

Why must you be careful when comparing floating-point values for equality?

How do modern ALUs address the challenge of floating-point rounding errors?

Problem 1 Considering the floating-point number format used by the IBM System/360-370 series, determine the total number of different normalized numbers that the 32-bit version of this format can represent.