Question

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}

Answer #1

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

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

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

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 (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)

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)

For each of the following, assume that we are using a 32-bit
system with single-precision (32-bit) floating point numbers
(floats) in IEEE format, double-precision (64-bit) doubles in IEEE
format, and 32-bit integers. Which of the following evaluate to
true for all argument values? (Circle each that is always
true).
char c = ..
int x = ..
short y = ..
float f = ..
double d = ..
c == (char)(float) c
y == (short)(int) y
f == (float)(double)...

What is the 16-bit binary representation (in hexadecimal using
lower-case letters, e.g., 0x39ab) of -13 1/4 (base 10) when
represented as an IEEE 16-bit ﬂoating-point number? The IEEE 16-bit
ﬂoating-point representation uses formulae consistent with those
for the 32bit single-precision representation, except for using 5
bits for the exponent (instead of 8 in the case of the 32-bit
representation) and a bias of 15.

1. Write the single-precision Representation for the following
decimal number. (-0.625) or -5/8. Final Results must be in HEX.
SHOW WORK PLEASE.
2. Given Hexadecimal 0x3F300000, convert it to decimal number if
it is a single precision floating point number. SHOW WORK
PLEASE.

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 33 minutes ago

asked 39 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 4 hours ago

asked 4 hours ago