Question

**6. What decimal number does the bit pattern 0xBF800000
represent if it is:**

**A two's complement integer****An unsigned integer****A floating point number assuming the IEE 754 single precision format**

**PLEASE EXPLAIN AND SHOW WORK**

Answer #1

1. (10 pts) Apply Booth's Algorithm to multiply the following
6-bit unsigned numbers, showing the contents of the A, Q, M
registers and the C bit, through the 6 steps: 100110 and 111001
(i.e., decimal 38 and 57)
2 Assuming single-precision (i.e., 32-bits) IEEE 754 standard,
unpack the following 32- bit string into decimal floating-point
form: 11001110100001000110010000110100

A). Convert following decimal integers to 8-bit two's complement
binary numbers using any
method . Explain why, If decimal number cannot be represented
with 8 bits.
a. -46 b. -63 c. 118 d. -128 e. 128
B). Perform following operations by converting the decimal
numbers to 8-bit two’s complement
binary. Check results by converting final result to decimal
a. 94-53 b. 15–84

1) convert binary number 10.011 into equivalent
decimal number
2) Determine the two's complement of the given binary number
10011100
3) Design a combinational logic circuit that can add 3 bit binary
imputs

1a) 0xCAFE can be written in decimal (base 10) as:
1b)
The decimal number -94 can be expressed (in 8 bits)
Using signed magnitude representation as:
Using one's complement representation as:
Using two's complement representation as:
Using excess-M representation (with the appropriate value of M)
as:
1c)
Using the simple floating point model (1-bit sign, 5-bit biased
exponent, and 8-bit significand), the number -0.125 (decimal) can
be expressed as:
(Do not use spaces or any English text. Provide only the...

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

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...

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.

2 Convert each of the following octal numbers to 10-bit binary,
hexadecimal, and decimal. Show your work.
(a) 368
(b) 7568
3 Convert the following binary values into Decimal, Octal and
hexadecimal. Show your work.
(a) 111010101011112
(b) 1010111011001102
(c) 1011101010001112
(d) 1111101011102
4 Convert the following hexadecimal numbers to 16-bit binary and
decimal numbers. Show your work.
(a) FE9816
(b) FCAD16
(c) B00C16
(d) FEDF16
5 Perform the addition on the following unsigned binary numbers.
Indicate whether or not...

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

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

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