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let m be a positive integer with n bit binary representation an-1 an-2 ... a1a0 with an-1=1 what are the smallest and largest va

Ahat [919]

Answer:

Explanation:

From the given information:

$a_{n-1} , a_{n-2}...a_o$ in binary is:

$a_{n-1}\times 2^{n-1} + a_{n-2}}\times 2^{n-2}+ ...+a_o$

So, the largest number posses all $a_{n-1} , a_{n-2}...a_o$ nonzero, however, the smallest number has $a_{n-2} , a_{n-3}...a_o$ all zero.

∴

The largest = 11111. . .1 in n times and the smallest = 1000. . .0 in n -1 times

i.e.

$(11111111...1)_2 = ( 1 \times 2^{n-1} + 1\times 2^{n-2} + ... + 1 )_{10}$

$= \dfrac{1(2^n-1)}{2-1}$

$\mathbf{=2^n -1}$

$(1000...0)_2 = (1 \times 2^{n-1} + 0 \times 2^{n-2} + 0 \times 2^{n-3} + ... + 0)_{10}$

$\mathbf {= 2 ^{n-1}}$

Hence, the smallest value is $\mathbf{2^{n-1}}$ and the largest value is $\mathbf{2^{n}-1}$

3 0

2 years ago

________ reveals functional requirements regarding the exchange of data and services between systems.

77julia77 [94]

The answer to this question is b

4 0

2 years ago

A class that ______________ an interface must contain methods for all abstract methods in the interface. Otherwise, the class mu

WINSTONCH [101]

Answer: A class that implement an interface must contain methods for all abstract methods in the interface. Otherwise, the class must be declared as abstract.

Explanation:

It is necessary to implement all the abstract method that are present in the interface. Basically, this is one of the rule of abstract method. As, abstract method is define as without any implementation.

If any class contain abstract method then, it must be declare as abstract. Therefore, if a class are not implemented an interface method then, it should be declare as abstract.

8 0

2 years ago

As computer words get larger and larger, there is a law of diminishing returns: the speed of execution of real application progr

otez555 [7]

Answer:

Explanation:

I can pick a reason out of many, and that would be the software. The fact is that, even as they are computers and machines, the softwares themselves have particular design cap. A software that was designed for systems with a narrow word size will most likely have issues as more and more words are used on it. I don't know if you understand what I'm saying, everything has a cap, once that particular meter is approaching, systems tend to slow onwards.

When it comes to the hardware part using the same technology, it might take a longer time to do basic arithmetic on larger inputs.

When you're under using a system, it tends to have a lot of space, excess, to perform its functions, but as soon as it is nearing its limit, it will slow down so as to accommodate all the processes at once.

3 0

3 years ago

Which line in the following program will cause a compiler error?

777dan777 [17]

Answer:

The answer to this question is the option "A".

Explanation:

In the given c++ program the compile-time error occurs in line number 8. In this program if block is used as an integer variable for checking condition that is number is greater then equal 0 and less then equal to 100 this is wrong.

So, the correct code for check if the block condition can be given as:

if (number>=0 && number<=100)

If we use this code in the if block section then the output of the question is passed.

6 0

2 years ago