I have the following snippet:
int n = 10;
int k = n>>1;
std::cout<<k;
This prints 5.
I want k to be the last digit in binary representation of n.
Like bin(n) = 1010
So, I want k to be 0.
I understand long methods are possible. Please suggest a one liner if possible.
Edit:
After going through the comments and answers, I discovered that there are various ways of doing that.
Some of them are:
k = n%2
k = n&1
Thanks to all those who answered the question. :)
int main( )
{
unsigned int val= 0x1010;
//so you just want the least siginificant bit?
//and assign it to another int?
unsigned int assign= val & 0x1;
std::cout << assign << std::endl;
val= 0x1001;
assign= val & 0x1;
std::cout << assign << std::endl;
return 0;
}
UPDATE:
I would add that bit masking is not uncommon with c. I use ints to hold states often
#define STATE_MOTOR_RUNNING 0x0001
#define STATE_UPDATE_DISPLAY 0x0002
#define STATE_COUNTER_READY 0x0004
Then:
unsigned int state= STATE_COUNTER_READY;
if( state & STATE_COUNTER_READY )
{
start_motor( );
state|= STATE_MOTOR_RUNNING;
}
//etc...
You aren't going to be able to avoid some calculation.
int k = n % 10;
will get you the last decimal digit, as that assignment gives k the remainder of division by 10.
Related
Went over this in class today:
const int tabsize = 100000;
int hash(string s) {
const int init = 21512712, mult = 96169, emergency = 876127;
int v = init;
for (int i=0; i<s.length(); i+=1)
v = v * mult + s[i];
if (v < 0) v = -v;
if (v < 0) v = emergency;
return v % tabsize;
}
Having some trouble figuring out what the last 2 if-statements are supposed to do.
Any ideas?
Thanks
The first if statement takes care of overflow behavior of signed integers. Thus if the integer gets too big that it wraps and becomes negative, this if statement ensures that only the positive integer is returned.
The second if statement is used to take care of the rare case of where v is 2147483648.
Note that positive signed 32 bit integers only go up to 231 - 1 or 2147483647 while the negative can go down to -231 or -2147483648.This number is negative and even negating it still gives a negative number. So that is what the emergency number is for
int main() {
int t = -2147483648;
std::cout << (-t) << std::endl;
}
They ensure the v is positive, because when you use the % operator on a negative number you can get a negative result which is not desirable for a hash value.
However, this does get into undefined behavior with the integer overflow so it might not work everywhere.
My objective is to write an algorithm that would be able to convert a long number into a binary number stored in a string.
Here is my current block of code:
#include <iostream>
#define LONG_SIZE 64; // size of a long type is 64 bits
using namespace std;
string b10_to_b2(long x)
{
string binNum;
if(x < 0) // determine if the number is negative, a number in two's complement will be neg if its' first bit is zero.
{
binNum = "1";
}
else
{
binNum = "0";
}
int i = LONG_SIZE - 1;
while(i > 0)
{
i --;
if( (x & ( 1 << i) ) == ( 1 << i) )
{
binNum = binNum + "1";
}
else
{
binNum = binNum + "0";
}
}
return binNum;
}
int main()
{
cout << b10_to_b2(10) << endl;
}
The output of this program is:
00000000000000000000000000000101000000000000000000000000000001010
I want the output to be:
00000000000000000000000000000000000000000000000000000000000001010
Can anyone identify the problem? For whatever reason the function outputs 10 represented by 32 bits concatenated with another 10 represented by 32 bits.
why would you assume long is 64 bit?
try const size_t LONG_SIZE=sizeof(long)*8;
check this, the program works correctly with my changes
http://ideone.com/y3OeB3
Edit: and ad #Mats Petersson pointed out you can make it more robust by changing this line
if( (x & ( 1 << i) ) == ( 1 << i) )
to something like
if( (x & ( 1UL << i) ) ) where that UL is important, you can see his explanation the the comments
Several suggestions:
Make sure you use a type that is guaranteed to be 64-bit, such as uint64_t, int64_t or long long.
Use above mentioned 64-bit type for your variable i to guarantee that the 1 << i calculates correctly. This is caused by the fact that shift is only guaranteed by the standard when the number of bits shifted are less or equal to the number of bits in the type being shifted - and 1 is the type int, which for most modern platforms (evidently including yours) is 32 bits.
Don't put semicolon on the end of your #define LONG_SIZE - or better yet, use const int long_size = 64; as this allows all manner of better behaviour, for example that you in the debugger can print long_size and get 64, where print LONG_SIZE where LONG_SIZE is a macro will yield an error in the debugger.
I have an integer(i) occupying 4 bytes and i am assuming that it is stored in the memory like this, with starting address as 1000,
If i write int*p=&i;
p now stores the starting address which is 1000 here.
if i increment p it points to the address 1004.
Is there any way to traverse the address 1000, 1001, 1002 and 1003 so that i can separate and print the digits 1 ,5,2,6 using pointers?
Please help..... :( (newbie)
My assumption of storage maybe wrong Can anyone please help me correct it? :(
EDIT 1
According to the answer given by Mohit Jain below and suggestions by others,
unsigned char *cp = reinterpret_cast<unsigned char *>(&i);
for(size_t idx = 0; idx < sizeof i; ++idx) {
cout << static_cast<int>(cp[idx]);
}
I am getting the answer as
246 5 0 0 .
I realized that the way I was assuming the memory structure was wrong,
So is there no way to get the actual digits using pointers??
An int with the value 1526 will not normally be stored as four bytes with the values 1, 5, 2 and 6.
Instead, it'll be stored in binary. Assuming a little-endian machine, the bytes will have the values: 0, 0, 5, 246 (and if it's big-endian, you'll get the same values in the reverse order). The reason for those numbers is that it can store values from 0 to 255 in each byte. Therefore, it's stored as 5 * 256 + 246. When dealing with values in memory like this, it's often convenient (and quite common) to use hexadecimal instead of decimal, in which case you'd be looking at it as 0x05F6.
The usual way to get decimal digits involves more math than pointers. For example, the least significant digit will be the remainder after dividing the value by 10.
To list the memory contents
Using pointer (endian-ness dependent output)
unsigned char *cp = reinterpret_cast<unsigned char *>(&i);
for(size_t idx = 0; idx < sizeof i; ++idx) {
cout << static_cast<int>(cp[idx]);
}
Without using pointer (endian-ness independent output), because digits are not stored the way you assume.
int copy = i;
unsigned int mask = (1U << CHAR_BIT) - 1U;
for(size_t idx = 0; idx < sizeof i; ++idx) {
cout << (copy & mask);
copy >>= CHAR_BIT;
}
To list the digits
If you want the digits of integer using pointer you should first convert the integer to a string:
std::string digits = std::to_string(i); // You can alternatively use stringstream
char *p = digits.c_str();
for(size_t idx = 0; idx < digits.length(); ++idx) cout << (*p++);
You can cast the pointer to (char *) and increment that pointer to point to beginning of individual bytes. However, your assumption of storage is wrong, so you will not get the digits like that.
As I can see you want to extract each digit of a number.
To achieve it You need to:
get reminder of i divided by 10. Do it like this: const int r = i % 10;
divide i by 10: i /= 10;
if i is not 0, go to 1.
Implementation (not tested) could be like this:
do
{
const int r = i % 10;
// do anything you need with r
i /= 10;
} while (i > 0);
This will give you each digit starting from the less significant.
As part of my master thesis, I get a number (e.g. 5 bits) with 2 significant bits (2nd and 4th). This means for example x1x0x, where $x \in {0,1}$ (x could be 0 or 1) and 1,0 are bits with fixed values.
My first task is to compute all the combinations of the above given number , 2^3 = 8. This is called S_1 group.
Then I need to compute 'S_2' group and this is all the combinations of the two numbers x0x0x and x1x1x(this means one mismatch in the significant bits), this should give us $\bin{2}{1} * 2^3 = 2 * 2^3 = 16.
EDIT
Each number, x1x1x and x0x0x, is different from the Original number, x1x0x, at one significant bit.
Last group, S_3, is of course two mismatches from the significant bits, this means, all the numbers which pass the form x0x1x, 8 possibilities.
The computation could be computed recursively or independently, that is not a problem.
I would be happy if someone could give a starting point for these computations, since what I have is not so efficient.
EDIT
Maybe I chose my words wrongly, using significant bits. What I meant to say is that a specific places in a five bits number the bit are fixed. Those places I defined as specific bits.
EDIT
I saw already 2 answers and it seems I should have been clearer. What I am more interested in, is finding the numbers x0x0x, x1x1x and x0x1x with respect that this is a simply example. In reality, the group S_1 (in this example x1x0x) would be built with at least 12 bit long numbers and could contain 11 significant bits. Then I would have 12 groups...
If something is still not clear please ask ;)
#include <vector>
#include <iostream>
#include <iomanip>
using namespace std;
int main()
{
string format = "x1x0x";
unsigned int sigBits = 0;
unsigned int sigMask = 0;
unsigned int numSigBits = 0;
for (unsigned int i = 0; i < format.length(); ++i)
{
sigBits <<= 1;
sigMask <<= 1;
if (format[i] != 'x')
{
sigBits |= (format[i] - '0');
sigMask |= 1;
++numSigBits;
}
}
unsigned int numBits = format.length();
unsigned int maxNum = (1 << numBits);
vector<vector<unsigned int> > S;
for (unsigned int i = 0; i <= numSigBits; i++)
S.push_back(vector<unsigned int>());
for (unsigned int i = 0; i < maxNum; ++i)
{
unsigned int changedBits = (i & sigMask) ^ sigBits;
unsigned int distance = 0;
for (unsigned int j = 0; j < numBits; j++)
{
if (changedBits & 0x01)
++distance;
changedBits >>= 1;
}
S[distance].push_back(i);
}
for (unsigned int i = 0; i <= numSigBits; ++i)
{
cout << dec << "Set with distance " << i << endl;
vector<unsigned int>::iterator iter = S[i].begin();
while (iter != S[i].end())
{
cout << hex << showbase << *iter << endl;
++iter;
}
cout << endl;
}
return 0;
}
sigMask has a 1 where all your specific bits are. sigBits has a 1 wherever your specific bits are 1. changedBits has a 1 wherever the current value of i is different from sigBits. distance counts the number of bits that have changed. This is about as efficient as you can get without precomputing a lookup table for the distance calculation.
Of course, it doesn't actually matter what the fixed-bit values are, only that they're fixed. xyxyx, where y is fixed and x isn't, will always yield 8 potentials. The potential combinations of the two groups where y varies between them will always be a simple multiplication- that is, for each state that the first may be in, the second may be in each state.
Use bit logic.
//x1x1x
if(01010 AND test_byte) == 01010) //--> implies that the position where 1s are are 1.
There's probably a number-theoretic solution, but, this is very simple.
This needs to be done with a fixed-bit integer type. Some dynamic languages (python for example), will extend bits out if they think it's a good idea.
This is not hard, but it is time consuming, and TDD would be particularly appropriate here.
I have an int that I want to store as a binary string representation. How can this be done?
Try this:
#include <bitset>
#include <iostream>
int main()
{
std::bitset<32> x(23456);
std::cout << x << "\n";
// If you don't want a variable just create a temporary.
std::cout << std::bitset<32>(23456) << "\n";
}
I have an int that I want to first convert to a binary number.
What exactly does that mean? There is no type "binary number". Well, an int is already represented in binary form internally unless you're using a very strange computer, but that's an implementation detail -- conceptually, it is just an integral number.
Each time you print a number to the screen, it must be converted to a string of characters. It just so happens that most I/O systems chose a decimal representation for this process so that humans have an easier time. But there is nothing inherently decimal about int.
Anyway, to generate a base b representation of an integral number x, simply follow this algorithm:
initialize s with the empty string
m = x % b
x = x / b
Convert m into a digit, d.
Append d on s.
If x is not zero, goto step 2.
Reverse s
Step 4 is easy if b <= 10 and your computer uses a character encoding where the digits 0-9 are contiguous, because then it's simply d = '0' + m. Otherwise, you need a lookup table.
Steps 5 and 7 can be simplified to append d on the left of s if you know ahead of time how much space you will need and start from the right end in the string.
In the case of b == 2 (e.g. binary representation), step 2 can be simplified to m = x & 1, and step 3 can be simplified to x = x >> 1.
Solution with reverse:
#include <string>
#include <algorithm>
std::string binary(unsigned x)
{
std::string s;
do
{
s.push_back('0' + (x & 1));
} while (x >>= 1);
std::reverse(s.begin(), s.end());
return s;
}
Solution without reverse:
#include <string>
std::string binary(unsigned x)
{
// Warning: this breaks for numbers with more than 64 bits
char buffer[64];
char* p = buffer + 64;
do
{
*--p = '0' + (x & 1);
} while (x >>= 1);
return std::string(p, buffer + 64);
}
AND the number with 100000..., then 010000..., 0010000..., etc. Each time, if the result is 0, put a '0' in a char array, otherwise put a '1'.
int numberOfBits = sizeof(int) * 8;
char binary[numberOfBits + 1];
int decimal = 29;
for(int i = 0; i < numberOfBits; ++i) {
if ((decimal & (0x80000000 >> i)) == 0) {
binary[i] = '0';
} else {
binary[i] = '1';
}
}
binary[numberOfBits] = '\0';
string binaryString(binary);
http://www.phanderson.com/printer/bin_disp.html is a good example.
The basic principle of a simple approach:
Loop until the # is 0
& (bitwise and) the # with 1. Print the result (1 or 0) to the end of string buffer.
Shift the # by 1 bit using >>=.
Repeat loop
Print reversed string buffer
To avoid reversing the string or needing to limit yourself to #s fitting the buffer string length, you can:
Compute ceiling(log2(N)) - say L
Compute mask = 2^L
Loop until mask == 0:
& (bitwise and) the mask with the #. Print the result (1 or 0).
number &= (mask-1)
mask >>= 1 (divide by 2)
I assume this is related to your other question on extensible hashing.
First define some mnemonics for your bits:
const int FIRST_BIT = 0x1;
const int SECOND_BIT = 0x2;
const int THIRD_BIT = 0x4;
Then you have your number you want to convert to a bit string:
int x = someValue;
You can check if a bit is set by using the logical & operator.
if(x & FIRST_BIT)
{
// The first bit is set.
}
And you can keep an std::string and you add 1 to that string if a bit is set, and you add 0 if the bit is not set. Depending on what order you want the string in you can start with the last bit and move to the first or just first to last.
You can refactor this into a loop and using it for arbitrarily sized numbers by calculating the mnemonic bits above using current_bit_value<<=1 after each iteration.
There isn't a direct function, you can just walk along the bits of the int (hint see >> ) and insert a '1' or '0' in the string.
Sounds like a standard interview / homework type question
Use sprintf function to store the formatted output in the string variable, instead of printf for directly printing. Note, however, that these functions only work with C strings, and not C++ strings.
There's a small header only library you can use for this here.
Example:
std::cout << ConvertInteger<Uint32>::ToBinaryString(21);
// Displays "10101"
auto x = ConvertInteger<Int8>::ToBinaryString(21, true);
std::cout << x << "\n"; // displays "00010101"
auto x = ConvertInteger<Uint8>::ToBinaryString(21, true, "0b");
std::cout << x << "\n"; // displays "0b00010101"
Solution without reverse, no additional copy, and with 0-padding:
#include <iostream>
#include <string>
template <short WIDTH>
std::string binary( unsigned x )
{
std::string buffer( WIDTH, '0' );
char *p = &buffer[ WIDTH ];
do {
--p;
if (x & 1) *p = '1';
}
while (x >>= 1);
return buffer;
}
int main()
{
std::cout << "'" << binary<32>(0xf0f0f0f0) << "'" << std::endl;
return 0;
}
This is my best implementation of converting integers(any type) to a std::string. You can remove the template if you are only going to use it for a single integer type. To the best of my knowledge , I think there is a good balance between safety of C++ and cryptic nature of C. Make sure to include the needed headers.
template<typename T>
std::string bstring(T n){
std::string s;
for(int m = sizeof(n) * 8;m--;){
s.push_back('0'+((n >> m) & 1));
}
return s;
}
Use it like so,
std::cout << bstring<size_t>(371) << '\n';
This is the output in my computer(it differs on every computer),
0000000000000000000000000000000000000000000000000000000101110011
Note that the entire binary string is copied and thus the padded zeros which helps to represent the bit size. So the length of the string is the size of size_t in bits.
Lets try a signed integer(negative number),
std::cout << bstring<signed int>(-1) << '\n';
This is the output in my computer(as stated , it differs on every computer),
11111111111111111111111111111111
Note that now the string is smaller , this proves that signed int consumes less space than size_t. As you can see my computer uses the 2's complement method to represent signed integers (negative numbers). You can now see why unsigned short(-1) > signed int(1)
Here is a version made just for signed integers to make this function without templates , i.e use this if you only intend to convert signed integers to string.
std::string bstring(int n){
std::string s;
for(int m = sizeof(n) * 8;m--;){
s.push_back('0'+((n >> m) & 1));
}
return s;
}