Question

- 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 positive normalized value

Answer #1

**Answer** :

**NOTE** : PLEASE GIVE ME UP VOTE. THANK YOU.

Given a 12-bit IEEE floating point format with 5 exponent
bits:
Give the hexadecimal representation for the bit-pattern
representing −∞−∞.
Give the hexadecimal representation for the bit-patterns
representing +0 and -1.
Give the decimal value for the floating point number represented
by the bit-pattern 0xcb0.
Give the decimal value for largest finite positive number which
can be represented?
Give the decimal value for the non-zero negative floating point
number having the smallest magnitude.
What are the smallest and largest magnitudes...

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)

Matlab uses IEEE double precision numbers: 64-bit floating point
representation
1 bit : sign
11 bits: exponent
52 bits: mantissa.
Calculate largest number (less than inf) 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 repeat for 10 bit floating point
(bit sign, 4 bits exponent and 5 bits mantissa)

urgent:
Consider a 5-bit floating point representation based on the
IEEE floating point format with one sign bit, the next two bits of
the exponent (exponent bias is 1), and the last two bits of the
significand. Fill in the table below. For column M and Value, your
answer must be expressed as a fraction of the form x/4.
Bits
M
E
Value
0 01 00
0 01 01
0 01 10
0 01 11
0 10 00
1
4/4...

Concern the following 16-bit floating point representation: The
first bit is the sign of the number (0 = +, 1 = -), the next nine
bits are the mantissa, the next bit is the sign of the exponent,
and the last five bits are the magnitude of the exponent. All
numbers are normalized, i.e. the first bit of the mantissa is one,
except for zero which is all zeros.
1. How many significant binary digits do numbers in this
representation...

If the IEEE Standard 754 representation of a floating point
number is given as 01101110110011010100000000000000, determine the
binary value represented by this 32-bit number

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

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

Find the internal representation of the following decimal number
in the Single Precision Floating Point format of the value:
-17.6
Non-terminating fractions should be carried out 6 places. You
will show the different steps involved in this transformation by
filling out the fields below.
The value 17 in binary is ___ 2 (no leading or
trailing zeroes).
The value .6 in binary is ____ 2 (complete to 6
places)
Normalized fraction: 1.____ 2 x 2Exponent.
Exponent=_____.
Biased Exponent in Binary:...

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