Question

Consider the number below, which is stored inside a computer which uses 16-bit 2’s complement base 2 representation. 1101011001110101

(a) Is this number negative? Why, or why not?

(b) Show the resulting value (“bit pattern”) after apply the 2’s complement negation operation to the given value. Is the resulting 2’s complement value (“bit pattern”) a negative number? Explain your answer.

Answer #1

(a) The given number 1101011001110101 is a negetive number. The leftmost bit in a binary number denotes the sign bit. If it is 1 the no. is negetive otherwise positive.

(b) To find the 2's complement of the given no. 1101011001110101 , we need to first find it's 1's complement.

- One's complement of 1101011001110101 = 0010100110001010
- Two's complement of 0010100110001011 = adding 1 to 1's complement obtained above.

= 0010100110001010 + 1 = **0010100110001011**

Therefore 2's compliment = **0010100110001011** is a
positive number since it's leftmost bit is 0.

Assume a computer is using signed magnitude base 2
representation to store 8-bit values. Further, assume you have a
program which can display the contents of 1-byte memory locations.
However, the program displays hex (as a shorthand) instead of
binary. What decimal values are represented by the following:
(a) C3
(b) 6E
Repeat the above, but assume the numbers are stored as 8-bit 2’s
complement base 2.

Assuming nine-bit 2’s complement representation, convert the
decimal number -137 to binary, show the effect of
the ROL operation on it with initial carry C=1,
show the status bits and then convert the result back to decimal.
Repeat with the ASR operation. Write the
RTL specification of both operations shown
here.

What will be the output when the computer performs arithmetic
left shift operation on the bit pattern 11010101 which is stored in
two’s complement format?
Verify that if you multiply the
original number in decimal by 2 you get your final answer in
decimal. Show your work?

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...

2. On the Arduino Uno (and other ATMega based boards) an
“int” stores a 16-bit (2-byte) value.
“int” store negative numbers with a technique
called 2's complement math. The highest bit, sometimes referred to
as the "sign" bit, flags the number as a negative number. The rest
of the bits are inverted and 1 is added. The Arduino takes care of
dealing with negative numbers for you, so that arithmetic
operations work transparently in the expected manner.
a-What is the...

4)What will be the output when the computer performs arithmetic
left shift operation on the bit pattern11010101 which is stored in
two’s complement format?Verify that if you multiply the original
number in decimal by 2 you get your final answer in decimal. Show
your work?

15. What will happen to the supply curve is
there is an increase in the number of sellers in a market (all else
being equal)?
Supply
will shift outward
Supply
will shift inward
Supply
will shift upward
Supply
of the good will not change
16. Suppose during the course of a year an economy
produces $8 trillion of consumer goods, $3 trillion of investment
goods, $4 trillion in government services, and has $2 trillion of
exports and...

Consider the data contained in the table below, which lists 30
monthly excess returns to two different actively managed stock
portfolios (A and B) and three different common risk factors (1, 2,
and 3). (Note: You may find it useful to use a computer spreadsheet
program such as Microsoft Excel to calculate your answers.)
Period
Portfolio A
Portfolio B
Factor 1
Factor 2
Factor 3
1
1.02
%
0.00
%
0.02
%
-0.94
%
-1.62
%
2
7.52
6.64
6.82...

1. The company uses Goldman Sachs for its investment banker and
Peter Fields, a Goldman Sachs managing director, has suggested that
McCormick consider on of two choices for financing. There is an
innovative hedge fund group that will loan $350 million to Mc
Cormick for 10 years in a zero interest bond. At the end, McCormick
will owe $550 million. The fee to Goldman will be paid by the hedge
fund. Use the PV function to calculate the
present value...

Data
For Tasks 1-8, consider the following data:
7.2, 1.2, 1.8, 2.8, 18, -1.9, -0.1, -1.5, 13.0, 3.2, -1.1,
7.0, 0.5, 3.9, 2.1, 4.1, 6.5
In Tasks 1-8 you are asked to conduct some computations
regarding this data. The computation should be carried out
manually. All the steps that go into the computation should be
presented and explained. (You may use R in order to verify your
computation, but not as a substitute for conducting the manual
computations.)
A Random...

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