Question

Convert the following floating-point number (stored using IEEE floating-point standard 754) to a binary number in non-standard form.

1100_0100_1001_1001_1000_0000_0000_0000

Answer #1

How do you convert a decimal like 4.9219 into binary? (assuming
32-bit IEEE 754 floating point format)

Convert the number 425.6 to the IEEE-754 32-bit floating point
format.
Don't use cheet

Convert the following binary floating point number
100101.1001010101
using IEEE-756 single precision representation
Plz show work, thanks!

Represent the following decimal numbers using IEEE-754 floating
point representation. please show all work
i. -0.75
ii. 0
iii. - infinity
iv. 23
v. 10.25

Assuming a 5-bit IEEE (754 standard) floating-point format
where 1 bit is used for the sign, 3 bits for the exponent, and 1
bit for the fraction, write the formulas for the exponent E, the
significand M, the fraction f, and the value V for the quantities
that follow and also describe the bit representation. Please show
all steps to receive full credit.
The number 5.0
The largest odd integer that can be represented exactly
The reciprocal of the smallest...

Using the IEEE single-precision floating point representation,
find the decimal number represented by the following 32-bit
numbers, each expressed as an 8-digit hex number. Express your
answer using decimal scientific notation.
(a) (C6500000)16 (b) (31200000)16

Given the following pair of decimal numbers:
A = 2.6125 x 101 and B = 4.150390625 x 10-1
a) Compute the binary representation of both A and B using the
IEEE-754 single precision floating- point format.
b) Compute A+B in binary using the IEEE-754 single precision
floating-point format.

Using the 32-bit binary representation for floating point
numbers, represent the
number 10111001100112 as a 32 bit floating point
number.

Consider IEEE standard single-precision floating-point format.
What is the distance between the largest value and the 2nd largest
value?

Matlab uses IEEE double precision numbers: 64-bit floating
point representation
1 bit : sign
11 bits: exponent
52 bits: mantissa.
Calculate largest number that can be stored
accurately
Calculate smallest number (x>0) that can be stored
accurately
Calculate the machine epsilon
Show all work step by step and explain
calculations
Now calculate the largest number and smallest number for a 10
bit floating point (1 bit for the sign, 4 bits exponent and 5 bits
mantissa)

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