I want to exchange the bytes of a number. Example the binary representation of a number is
00000001 00011000 00000100 00001110. I want to reverse it: 00001110 00000100 00011000 00000001.
Can you please help? The current code is below:
void showBits(int n)
{
int i,k,andMask;
for(i=15;i>=0;i--)
{
andMask=1<<i;
k=n&andMask;
k==0?(cout<<"0"):(cout<<"1");
}
}
int reverse(int a)
{
int b=a<<8;
int c=a>>8;
return (b|c);
}
int main()
{
int a=10;
showBits(a);
int b=reverse(a);
showBits(b);
cin.get();
}
Something like this should work:
result = ((number & 0xFF) << 24) | ((number & 0xFF00) << 8) |
((number & 0xFF0000) >> 8) | ((number & 0xFF000000) >> 24);
int myInt = 0x012345678
__asm {
mov eax, myInt
bswap eax
mov myInt, eax
}
If you want to simply reverse a 32-bit number, you can use a bit-shifting technique that isolates each byte region using bit-masks and logical AND, and then swaps those bytes by the appropriate number of shifted bits using the bit-shift operators >> and <<. You can then recombined the bits using logical OR like so:
int temp = 0x12345678;
temp = ((0xFF & temp) << 24) | ((0xFF00 & temp) << 8) | ((0xFF0000 & temp) >> 8) |
((0xFF000000 & temp) >> 24));
You'll now end up with a final value in temp of 0x78563412.
Update: Okay, I'm looking over you code, and noting the following:
The size of int it seems like you're wanting to work with from the binary digit you have posted is 32-bits ... so your showBits function is not cycling through enough bits to display an entire 32-bit integer. As far as I can see right now, it will only show up to the 16 lower bits. So you'll need to be clear on whether you're working on a platform that defines int as 16 or 32-bits.
Your reverse functions is not correct. If you have a 32-bit int like 0x12345678, and you shift it left by 8-bits, you will end up with 0x34567800. Likewise, when you shift it right by 8-bits, you will just end up with 0x00123456. Shifting a number does not rotate the values through their respective positions (i.e., a shift left of 8-bits would not give you 0x34567812). Plus, even if it did, the logical OR of the rotated values would still not be a correct reversal of the values. Instead, you must use the technique described above that uses bit-masks and logical AND to isolate each byte, and then shift those bits the appropriate number of places in order to reverse the bits in a 32-bit word.
If your original task to to convert from machine-specific byte order to big endian and back, take a look at the hton* and ntoh* functions.
http://minix1.woodhull.com/manpages/man3/hton.3.html
Related
Assuming an environment where long int is a 64-bit type, suppose I have an long int = 0x0123456789ABCDEF and I want to get the byte that represents 89. Would this line work?
n = (n >> (b << 3)) & 0xFF;
where n is the long int and b is the byte I want. So b would be 3 and shifting it left 3 would multiply it by 8 changing it into a byte so shifting should look like this 0x0123456789. Is using & 0xFF the right way to mask to get the last byte?
Yes, this is the correct approach. This online example on ideone.com prints 89 as expected.
I know you can get the first byte by using
int x = number & ((1<<8)-1);
or
int x = number & 0xFF;
But I don't know how to get the nth byte of an integer.
For example, 1234 is 00000000 00000000 00000100 11010010 as 32bit integer
How can I get all of those bytes? first one would be 210, second would be 4 and the last two would be 0.
int x = (number >> (8*n)) & 0xff;
where n is 0 for the first byte, 1 for the second byte, etc.
For the (n+1)th byte in whatever order they appear in memory (which is also least- to most- significant on little-endian machines like x86):
int x = ((unsigned char *)(&number))[n];
For the (n+1)th byte from least to most significant on big-endian machines:
int x = ((unsigned char *)(&number))[sizeof(int) - 1 - n];
For the (n+1)th byte from least to most significant (any endian):
int x = ((unsigned int)number >> (n << 3)) & 0xff;
Of course, these all assume that n < sizeof(int), and that number is an int.
int nth = (number >> (n * 8)) & 0xFF;
Carry it into the lowest byte and take it in the "familiar" manner.
If you are wanting a byte, wouldn't the better solution be:
byte x = (byte)(number >> (8 * n));
This way, you are returning and dealing with a byte instead of an int, so we are using less memory, and we don't have to do the binary and operation & 0xff just to mask the result down to a byte. I also saw that the person asking the question used an int in their example, but that doesn't make it right.
I know this question was asked a long time ago, but I just ran into this problem, and I think that this is a better solution regardless.
//was trying to do inplace, would have been better if I had swapped higher and lower bytes somehow
uint32_t reverseBytes(uint32_t value) {
uint32_t temp;
size_t size=sizeof(uint32_t);
for(int i=0; i<size/2; i++){
//get byte i
temp = (value >> (8*i)) & 0xff;
//put higher in lower byte
value = ((value & (~(0xff << (8*i)))) | (value & ((0xff << (8*(size-i-1)))))>>(8*(size-2*i-1))) ;
//move lower byte which was stored in temp to higher byte
value=((value & (~(0xff << (8*(size-i-1)))))|(temp << (8*(size-i-1))));
}
return value;
}
I'm trying to implement a function that performs a circular rotation of a byte to the left and to the right.
I wrote the same code for both operations. For example, if you are rotating left 1010 becomes 0101. Is this right?
unsigned char rotl(unsigned char c) {
int w;
unsigned char s = c;
for (w = 7; w >= 0; w--) {
int b = (int)getBit(c, w);//
if (b == 0) {
s = clearBit(s, 7 - w);
} else if (b == 1) {
s = setBit(s, 7 - w);
}
}
return s;
}
unsigned char getBit(unsigned char c, int n) {
return c = (c & (1 << n)) >> n;
}
unsigned char setBit(unsigned char c, int n) {
return c = c | (1 << n);
}
unsigned char clearBit(unsigned char c, int n) {
return c = c &(~(1 << n));
}
There is no rotation operator in C, but if you write:
unsigned char rotl(unsigned char c)
{
return (c << 1) | (c >> 7);
}
then, according to this: http://www.linux-kongress.org/2009/slides/compiler_survey_felix_von_leitner.pdf (page 56), compilers will figure out what you want to do and perform the rotation it in only one (very fast) instruction.
Reading the answers and comments so far, there seems to be some confusion about what you are trying to accomplish - this may be because of the words you use. In bit manipulation, there are several "standard" things you can do. I will summarize some of these to help clarify different concepts. In all that follows, I will use abcdefgh to denote 8 bits (could be ones or zeros) - and as they move around, the same letter will refer to the same bit (maybe in a different position); if a bit becomes "definitely 0 or 1, I will denote it as such).
1) Bit shifting: This is essentially a "fast multiply or divide by a power of 2". The symbol used is << for "left shift" (multiply) or >> for right shift (divide). Thus
abcdefgh >> 2 = 00abcdef
(equivalent to "divide by four") and
abcdefgh << 3 = abcdefgh000
(equivalent to "multiply by eight" - and assuming there was "space" to shift the abc into; otherwise this might result in an overflow)
2) Bit masking: sometimes you want to set certain bits to zero. You do this by doing an AND operation with a number that has ones where you want to preserve a bit, and zeros where you want to clear a bit.
abcdefgh & 01011010 = 0b0de0g0
Or if you want to make sure certain bits are one, you use the OR operation:
abcdefgh | 01011010 = a1c11f1h
3) Circular shift: this is a bit trickier - there are instances where you want to "move bits around", with the ones that "fall off at one end" re-appearing at the other end. There is no symbol for this in C, and no "quick instruction" (although most processors have a built-in instruction which assembler code can take advantage of for FFT calculations and such). If you want to do a "left circular shift" by three positions:
circshift(abcdefgh, 3) = defghabc
(note: there is no circshift function in the standard C libraries, although it exists in other languages - e.g. Matlab). By the same token a "right shift" would be
circshift(abcdefgh, -2) = ghabcdef
4) Bit reversal: Sometimes you need to reverse the bits in a number. When reversing the bits, there is no "left" or "right" - reversed is reversed:
reverse(abcdefgh) = hgfedcba
Again, there isn't actually a "reverse" function in standard C libraries.
Now, let's take a look at some tricks for implementing these last two functions (circshift and reverse) in C. There are entire websites devoted to "clever ways to manipulate bits" - see for example this excellent one. for a wonderful collection of "bit hacks", although some of these may be a little advanced...
unsigned char circshift(unsigned char x, int n) {
return (x << n) | (x >> (8 - n));
}
This uses two tricks from the above: shifting bits, and using the OR operation to set bits to specific values. Let's look at how it works, for n = 3 (note - I am ignoring bits above the 8th bit since the return type of the function is unsigned char):
(abcdefgh << 3) = defgh000
(abcdefgh >> (8 - 3)) = 00000abc
Taking the bitwise OR of these two gives
defgh000 | 00000abc = defghabc
Which is exactly the result we wanted. Note also that a << n is the same as a >> (-n); in other words, right shifting by a negative number is the same as left shifting by a positive number, and vice versa.
Now let's look at the reverse function. There are "fast ways" and "slow ways" to do this. Your code above gave a "very slow" way - let me show you a "very fast" way, assuming that your compiler allows the use of 64 bit (long long) integers.
unsigned char reverse(unsigned char b) {
return (b * 0x0202020202ULL & 0x010884422010ULL) % 1023;
}
You may ask yourself "what just happened"??? Let me show you:
b = abcdefgh
* 0x0000000202020202 = 00000000 00000000 0000000a bcdefgha bcdefgha bcdefgha bcdefgha bcdefgh0
& 0x0000010884422010 = 00000000 00000000 00000001 00001000 10000100 01000010 00100000 00010000
= 00000000 00000000 0000000a 0000f000 b0000g00 0c0000h0 00d00000 000e0000
Note that we now have all the bits exactly once - they are just in a rather strange pattern. The modulo 1023 division "collapses" the bits of interest on top of each other - it's like magic, and I can't explain it. The result is indeed
hgfedcba
A slightly less obscure way to achieve the same thing (less efficient, but works for larger numbers quite efficiently) recognizes that if you swap adjacent bits , then adjacent bit pairs, then adjacent nibbles (4 bit groups), etc - you end up with a complete bit reversal. In that case, a byte reversal becomes
unsigned char bytereverse(unsigned char b) {
b = (b & 0x55) << 1 | (b & 0xAA) >> 1; // swap adjacent bits
b = (b & 0x33) << 2 | (b & 0xCC) >> 2; // swap adjacent pairs
b = (b & 0x0F) << 4 | (b & 0xF0) >> 4; // swap nibbles
return b;
}
In this case the following happens to byte b = abcdefgh:
b & 0x55 = abcdefgh & 01010101 = 0b0d0f0h << 1 = b0d0f0h0
b & 0xAA = abcdefgh & 10101010 = a0c0e0g0 >> 1 = 0a0c0e0g
OR these two to get badcfehg
Next line:
b & 0x33 = badcfehg & 00110011 = 00dc00hg << 2 = dc00hg00
b & 0xCC = badcfehg & 11001100 = ba00fe00 >> 2 = 00ba00fe
OR these to get dcbahgfe
last line:
b & 0x0F = dcbahgfe & 00001111 = 0000hgfe << 4 = hgfe0000
b & 0xF0 = dcbahgfe & 11110000 = dcba0000 >> 4 = 0000dcba
OR these to get hgfedcba
Which is the reversed byte you were after. It should be easy to see how just a couple more lines (similar to the above) get you to a reversed integer (32 bits). As the size of the number increases, this trick becomes more and more efficient, comparatively.
I trust that the answer you were looking for is "somewhere" in the above. If nothing else I hope you have a clearer understanding of the possibilities of bit manipulation in C.
If, as according to your comments, you want to shift one bit exactly, then one easy way to accomplish that would be this:
unsigned char rotl(unsigned char c)
{
return((c << 1) | (c >> 7));
}
What your code does is reversing the bits; not rotating them. For instance, it would make 10111001 into 10011101, not 01110011.
I know you can get the first byte by using
int x = number & ((1<<8)-1);
or
int x = number & 0xFF;
But I don't know how to get the nth byte of an integer.
For example, 1234 is 00000000 00000000 00000100 11010010 as 32bit integer
How can I get all of those bytes? first one would be 210, second would be 4 and the last two would be 0.
int x = (number >> (8*n)) & 0xff;
where n is 0 for the first byte, 1 for the second byte, etc.
For the (n+1)th byte in whatever order they appear in memory (which is also least- to most- significant on little-endian machines like x86):
int x = ((unsigned char *)(&number))[n];
For the (n+1)th byte from least to most significant on big-endian machines:
int x = ((unsigned char *)(&number))[sizeof(int) - 1 - n];
For the (n+1)th byte from least to most significant (any endian):
int x = ((unsigned int)number >> (n << 3)) & 0xff;
Of course, these all assume that n < sizeof(int), and that number is an int.
int nth = (number >> (n * 8)) & 0xFF;
Carry it into the lowest byte and take it in the "familiar" manner.
If you are wanting a byte, wouldn't the better solution be:
byte x = (byte)(number >> (8 * n));
This way, you are returning and dealing with a byte instead of an int, so we are using less memory, and we don't have to do the binary and operation & 0xff just to mask the result down to a byte. I also saw that the person asking the question used an int in their example, but that doesn't make it right.
I know this question was asked a long time ago, but I just ran into this problem, and I think that this is a better solution regardless.
//was trying to do inplace, would have been better if I had swapped higher and lower bytes somehow
uint32_t reverseBytes(uint32_t value) {
uint32_t temp;
size_t size=sizeof(uint32_t);
for(int i=0; i<size/2; i++){
//get byte i
temp = (value >> (8*i)) & 0xff;
//put higher in lower byte
value = ((value & (~(0xff << (8*i)))) | (value & ((0xff << (8*(size-i-1)))))>>(8*(size-2*i-1))) ;
//move lower byte which was stored in temp to higher byte
value=((value & (~(0xff << (8*(size-i-1)))))|(temp << (8*(size-i-1))));
}
return value;
}
I have a variable with "x" number of bits. How can I extract a specific group of bits and then work on them in C?
You would do this with a series of 2 bitwise logical operations.
[[Terminology MSB (msb) is the most-significant-bit; LSB (lsb) is the least-significant-bit. Assume bits are numbered from lsb==0 to some msb (e.g. 31 on a 32-bit machine). The value of the bit position i represents the coefficient of the 2^i component of the integer.]]
For example if you have int x, and you want to extract some range of bits x[msb..lsb] inclusive, for example a 4-bit field x[7..4] out of the x[31..0] bits, then:
By shifting x right by lsb bits, e.g. x >> lsb, you put the lsb bit of x in the 0th (least significant) bit of the expression, which is where it needs to be.
Now you have to mask off any remaining bits above those designated by msb. The number of such bits is msb-lsb + 1. We can form a bit mask string of '1' bits that long with the expression ~(~0 << (msb-lsb+1)). For example ~(~0 << (7-4+1)) == ~0b11111111111111111111111111110000 == 0b1111.
Putting it all together, you can extract the bit vector you want with into a new integer with this expression:
(x >> lsb) & ~(~0 << (msb-lsb+1))
For example,
int x = 0x89ABCDEF;
int msb = 7;
int lsb = 4;
int result = (x >> lsb) & ~(~0 << (msb-lsb+1));
// == 0x89ABCDE & 0xF
// == 0xE (which is x[7..4])
Make sense?
Happy hacking!
If you're dealing with a primitive then just use bitwise operations:
int bits = 0x0030;
bool third_bit = bits & 0x0004; // bits & 00000100
bool fifth_bit = bits & 0x0010; // bits & 00010000
If x can be larger than a trivial primitive but is known at compile-time then you can use std::bitset<> for the task:
#include<bitset>
#include<string>
// ...
std::bitset<512> b(std::string("001"));
b.set(2, true);
std::cout << b[1] << ' ' << b[2] << '\n';
std::bitset<32> bul(0x0010ul);
If x is not known at compile-time then you can use std::vector<unsigned char> and then use bit-manipulation at runtime. It's more work, the intent reads less obvious than with std::bitset and it's slower, but that's arguably your best option for x varying at runtime.
#include<vector>
// ...
std::vector<unsigned char> v(256);
v[2] = 1;
bool eighteenth_bit = v[2] & 0x02; // second bit of third byte
work on bits with &, |. <<, >> operators.
For example, if you have a value of 7 (integer) and you want to zero out the 2nd bit:
7 is 111
(zero-ing 2nd bit AND it with 101 (5 in decimal))
111 & 101 = 101 (5)
here's the code:
#include <stdio.h>
main ()
{
int x=7;
x= x&5;
printf("x: %d",x);
}
You can do with other operators like the OR, shift left, shift right,etc.
You can use bitfields in a union:
typedef union {
unsigned char value;
struct { unsigned b0:1,b1:1,b2:1,b3:1,b4:1,b5:1,b6:1,b7:1; } b;
struct { unsigned b0:2,b1:2,b2:2,b3:2; } b2;
struct { unsigned b0:4,b1:4; } b4;
} CharBits;
CharBits b={0},a={0};
printf("\n%d",b.value);
b.b.b0=1; printf("\n%d",b.value);
b.b.b1=1; printf("\n%d",b.value);
printf("\n%d",a.value);
a.b4.b1=15; printf("\n%d",a.value); /* <- set the highest 4-bit-group with one statement */