Swaping Bits in 32bit numbers considering two nibles and strings reverse - bit-manipulation

This is interview question.Please tell me answer for this.
number-10010011.now we need to swap first two bits to 3rd and 4th positions.
output-10110001.
same number but output-10000111.
2)this is qualcom interview.
now we need to reverse a string.
output-interview qualcom is this.
but with out using strtok library.
Please tell me how to do this programes.
i searched in internet but not got proper answers.
Thank you in advance.

The first question in bitshift operations:
right = 10010011 & 00000011 // right = 00000011
left = 10010011 & 00110000 // left = 00010000
fix = 10010011 & 11001100 // fix = 10000000
right = right << 4 // right = 00110000
left = left >> 4 // left = 00000001
result = fix | right | left // result = 10110001
so what I did was to separate the bits into those that dont Change (from left: 1,2, 5,6) a left Group (3 and 4) and a right Group (7 and 8) then shift the left Group to 7 and 8 and right to 3 and 4. and then Combine fix, left and right again.
string Inversion can also be done pretty straight Forward, just iterate the string swapping chars:
word = "hello world"
for(int i = 0; i <= word.Length/2; i++)
help = word[i]
word[i] = word[word.Length-i]
word[word.Length-i] = help
// dello worlh, dlllo woreh, ...
For words inversion you can use that algorithm(revert(string)) as well:
reverted = revert(input)
words = reverted.split(" ")
for(int i=0; i<words.Length; i++)
words[i] = revert(words[i])
words.join(" ")

Related

Add a bit in the middle of any two bits

In a binary representation of a number is there a simpler way than this
long half(long patten, bool exclusive) {
if (patten == 0) {
return 1;
}
long newPatten = 0;
for (int p = 0; p < MAX_STEPS; p++) {
long check = 1 << p;
if ((check & patten) > 0) {
int end = (p + MAX_STEPS) - 1;
for (int to = p+1; to <= end; to++) {
long checkTo = 1 << (to % MAX_STEPS);
if ( (checkTo & patten) > 0 || to == end ) {
int distance = to - p;
long fullShift = (int)round( ((float)p) + ((float)distance)/2 );
long shift = fullShift % MAX_STEPS;
long toAdd = 1 << shift;
newPatten = newPatten | toAdd;
break;
}
}
}
}
return exclusive ? patten ^ newPatten : patten | newPatten;
}
To add a bit in the middle of any two other bits with wrapping around and rounding to one side when there is an even number of positions between?
E.g.
010001 to
110101
Or
1001 to
1101
Update: These bits aren't coming from anywhere else, such as another number, just want a new True bit to be in the middle of any other two True bits, so if there was a 101, then the middle would be the 0 and the result would be 111. Or if we started with 10001, then the middle would be the center 0 and the result would be 10101.
When i say wrapping i also mean adding bits as if the bit array was a circle so if we had 00100010 representing the positions with letters:
00100010
hgfedcba
So we have True bits at b and f we would put a middle bit between b and f going left to right at d but also going right to left, wrapping around and putting it at h resulting in:
10101010
hgfedcba
I understand this isn't a usual problem.
Are there known tricks to do things like this without loops?

Generating permutation of the string in c++

This is the code which generates possible permutation using bit masking. I am having problem in understanding how is it executing after this condition when i = 2 , bit = 4 , mask = 7.
when bit is 4 and mask is 7 so condition (bit & mask) == true So it will continue .How i = 2 again ? and how mask becomes 1 when Mask will change when it will execute recurse(....)
#include <iostream>
#include <string>
using namespace std;
void recurse(string s, int mask = 0,string out = "")
{
int n = s.length();
if (out.length() == n) cout << ' ' << out<<endl;
for (int i = 0; i < n; i++) {
cout<<"I:"<<i<<"=>";
unsigned bit = 1 << i;
cout<<bit<< " -> " <<mask<<endl;
cout<<"cond:"<<(mask & bit)<<endl;
if (mask & bit) continue;
cout<<out+s[i]<<endl;
recurse(s, mask | bit, out + s[i]);
}
}
int main()
{
string test = "red";
recurse(test);
cout << endl;
return 0;
}
Output:
I:0=>1 -> 0
cond:0
r
I:0=>1 -> 1
cond:1
I:1=>2 -> 1
cond:0
re
I:0=>1 -> 3
cond:1
I:1=>2 -> 3
cond:2
I:2=>4 -> 3
cond:0
red
red
I:0=>1 -> 7
cond:1
I:1=>2 -> 7
cond:2
I:2=>4 -> 7 <===== here when bit is 4 and mask is 7 so condition (bit & mask) == true
cond:4 So it will continue .How i = 2 again ? and how mask becomes 1 when Mask will change when it will execute recurse(....)
I:2=>4 -> 1
cond:0
rd
I:0=>1 -> 5
Since you are using a recursive algorithm, you need to stop recursing when you reached the termination condition (in your case it is out.length() == n). If this condition is triggered, you print found permutation, but what happens immediately after this? You continue to execute the function. In particular, you will iterate through the for loop which will print some output (meaningless at this point, because you reached the bottom of recursion). In fact, you got confused by the output messages printed after the recursion termination condition triggered. Add the return statement to your check for recursion termination:
if (out.length() == n) {
cout << "OUT: " << out << endl;
return;
}
This way you will avoid redundant recursive calls and won't see irrelevant output messages that can be confusing.
As for your question about why mask doesn't change - note that for values of mask = 7 and bit = 4 you get maks | bit = 7| 4 = 7 = mask. So in some cases, bitwise OR-ing mask and bit will not affect the mask.
After the continue i = 3, and since n = 3 the loop stops.
So it goes up one recursion step and continues from the loop:
I:0=>1 -> 1
cond:1
I:1=>2 -> 1
cond:0
re
You can try printing a statement saying something like "finished loop" to see this.
I hope this answers your question.

Understanding the given snippet on bit reversal

I found this snippet on 'codefights' submitted by a programmer. My solution to the problem was 30 lines, whereas this is just a beauty.
But I am not able to understand the logic.
Can anyone explain this.
int mirrorBits(int a) {
int r = 0;
for (; a; a >>= 1)
r = r << 1 | a & 1;
return r;
}
input a = 8; output : 1
First of all, there is a very good StackOverflow answer here:
Most Efficient Algorithm for Bit Reversal ( from MSB->LSB to LSB->MSB) in C
The algorithm makes use of
>> ... binary shift right (100b >> 1 == 10b)
<< ... binary shift left (100b << 1 == 1000b
| .... binary or (100b | 10b == 110b)
& .... binary and (111b & 100b == 100b)
The for loop shifts a to the right until all bits have fallen out of a.
Imagine you start with a = 101101 then a >>= 1 does the following:
At the end of loop 1: a == 10110
At the end of loop 2: a == 01011
At the end of loop 3: a == 00101
At the end of loop 4: a == 00010
At the end of loop 5: a == 00001
At the end of loop 6: a == 00000 (condition fails -> loop ends)
The body of the loop shifts b one bit right, uses & to mask the last bit of a and adds it as last digit to b. The or can be used to add the last digit because << inserts 0 for all "new" bits.
Imagine you start with a = 101101
loop 1: a = 101101, r = 0 => 01
loop 2: a = 010110, r = 01 => 010
loop 3: a = 001011, r = 010 => 0101
loop 4: a = 000101, r = 0101 => 01011
loop 5: a = 000010, r = 01011 => 010110
loop 6: a = 000001, r = 010110 => 0101101
In detail the inner loop #3 does the following:
(a is 001011 and r is 010)
r << 1 changes r from 010 to 0100. The last digit is the inserted 0.
a & 1 masks the current last bit from a (the 1 in 001011)
now we have (0100 | 1) which has the result 0101.
Warning: This algorithm is not really mirroring the bits, because you do not get the original value if you apply the algorithm to the result.
If you need a mirrored 32-bit unsigned integer you have to loop 32 times independently of the value of a:
unsigned int r = 0;
unsigned int a = 12345;
for(int i = 0; i < 32; ++i)
{
r = (r << 1) | (a & 1);
a >>= 1;
}
If you apply this algorithm twice, you should get the original value.

count consecutive 1's in binary

I am writing code in Hackerrank. And recently the problem said, convert decimal to base 2 and then count the max consecutive 1's in the binary number. And first I come with following solution. It works fine. But I do not understand the counting part of it, even though I wrote it.
The code is
int main(){
int n,ind=0, count=0, mmax=0;
char bin[100];
cin >> n;
while(n){
if(n%2==0) {
bin[ind]='0';
n = n / 2;
ind = ind + 1;
}
else if(n%2==1) {
bin[ind]='1';
n = n / 2;
ind = ind + 1;
}
}
for(int i=0; i<=(ind-1); i++){
if(bin[i] == '1' && bin[i+1] == '1'){
count++;
if(mmax < count)
mmax = count;
}
else
count=0;
}
cout << mmax + 1 << endl;
return 0;
}
In the above code, I guess that variable mmax will give me the max consecutive number of 1's but it gives me value that has (max consecutive - 1), So I just wrote like that and submitted the code. But I am curious about. why it is working that way. I am little bit of confused the way that code works like this.
Thanks
Lets say you have this binary sequence:
11110
Your code will compare starting from the first and second:
|11|110 1 && 1 -> max = 1
1|11|10 1 && 1 -> max = 2
11|11|0 1 && 1 -> max = 3
111|10| 1 && 0 -> max = 3
you can see, that although there are 4 1's you only do 3 comparisons, so your max will always be -1 of the actual max. You can fix this by adding mmax += 1 after your for loop.
Just a little bit of trace using small example will show why.
First, lets say there is only 1 '1' in your array.
Since you require both the current position and your next position to be '1', you will always get 0 for this case.
Let's say I have "11111". At the first '1', since next position is also '1', you increment count once. This repeats until 4th '1' and you increment your count 4 times in total so far. When you reach 5th '1', your next position is not '1', thus your count stops at 4.
In general, your method is like counting gaps between fingers, given 5 fingers, you get 4 gaps.
Side note: your code will fail for the case when there is no '1' in your array.

Homemade Vigenere cipher; working with acsii character manipulation

As the post title suggests, I'm working to strengthen my grasp on C++ and character manipulation, this time through creating a Vigenere Cipher. For those unfamiliar with it, it's a fairly simple way to encrypt a text file.
The basic way it works is that there exists a string "key", and each character (in my case at least) is a lowercase alphabetical character. These are stored into an array and are used to "shift" the value of the file being encoded. A character of 'a' will shift the target by 0, while 'z' will shift it by 25. The "shift" is cyclical, meaning that if 'z' is shifted by 'b' (1) it should result in an 'a'.
My current method is found below:
//Assume cipher[] contains "[a][b][c][x ][y ][z ]" Cipher is a <string> object
//Assume ptr[] contains "[0][1][2][23][24][25]
#A whole bunch of includes
char c;
ifstream is;
ofstream os;
is.open(argv[3]) //"myinput.txt"
os.open(argv[4]) //"myoutput.txt"
int i = 0;
while( is.good() ) {
c = is.get();
if( is.good() ) { //did we just hit the EoF?
c = tolower( c - 0 ); //just make sure it's lowercase
c = c + ptr[ i % cipher.size() ] % 26;
if( c> 122 )
c = ( c % 123 ) + 97;
i++;
os.put( c );
}
}
My problem lies in my modulo operations, I believe. Maybe it's because I've spent so much time hashing this out, but I spent hours last night writing this, and then another hour lying in bed trying to wrap my mind around how to effectively create what I want:
grab char.
check char. //let char = 'z'
check the cipher. //let the cipher = 'y'
eval cipher shift //'y' shift value = 24
shift z 24 places (cyclically) //'z'==25, 25+24=49, 49%26=23. 23='x'
HERE IS THE ISSUE: How to do this with ACSII? ('a'=97, z='121')
Imagine that you want to "shuffle" the "ones" digits 0-9 between 20 and 29 by two steps, such that 20 becomes 22, and 29 becomes 21,. How would you do that?
Well, I would subtract 20 [our base number], and then shuffle the remaining digit, and then add 20 back in again.
newnum = num - 20;
newnum %= 10;
newnum += 20;
The same principle would apply for ascii - just that of course the base isn't 20.