I have a binary file that I want to read. Let's say its "foo.bin".
I want to read all the bytes into an byte array.
byte[] data = File.ReadAllBytes("foo.bin")
I want to split these bytes into binary numbers of length x.
(Using a custom class BinaryChunk, but any type of binary / bool[] / byte[] will work fine.)
struct BinaryChunk {
bool[] data,
int size
}
BinaryChunk[] binaryChunks = SplitDataIntoBinaryChunksOfSize(data, x)
*Note that "x" is in bits, not bytes.
Examples in case you still have no idea what I'm talking about:
(Shortened "SplitDataIntoBinaryChunksOfSize" into "SplitData" for obvious reasons)
bool[] foo = new bool[]{0b11100110, 0b00010110};
SplitData(foo, 3) //-> 111, 001, 100, 001, 011, 000
// 1 1 1 0 0 1 1 0;0 0 0 1 0 1 1 0XXXXXXXXXXXXXXXX
//-> 1 1 1;0 0 1;1 0 0;0 0 1;0 1 1;0 0 0
SplitData(foo, 12) //-> 111001100001, 011000000000
// 1 1 1 0 0 1 1 0;0 0 0 1 0 1 1 0XXXXXXXXXXXXXXXX
//-> 1 1 1 0 0 1 1 0 0 0 0 1;0 1 1 0 0 0 0 0 0 0 0 0
Thinking about using BitArray, but I haven't used it enough to know how to use it.
Anyone got any ideas?
EDIT: heres a quick solution if anyone needs one i guess
class BinaryStream {
//binary data in bytes
byte[] data;
//length of data
int size;
public BinaryStream(byte[] data) {
this.data = data;
this.size = data.Length;
}
public void MoveBytes(int splicesize) {
//moves the binarystream to the left (<<) in bytes
size -= splicesize;
byte[] cutdata = new byte[size];
for (int i = 0; i < size; i++) { cutdata[i] = data[i + splicesize]; }
data = cutdata;
}
public byte this[int membytes] {
//gets the byte at index unless its not in the array then its 0
get { return membytes < size ? data[membytes] : byte.MinValue; }
set { if (membytes < size) data[membytes] = value; }
}
public static BinaryStream operator <<(BinaryStream binstream, int membits) {
//a left shift operator (in bits)
binstream.MoveBytes(membits / 8);
membits %= 8;
if (membits == 0) return binstream;
for (int i = 0; i < binstream.size; i++) {
//moves the byte at index i, then grabs the next item and appends it
binstream[i] <<= membits;
binstream[i] |= (byte) (binstream[i + 1] >> (8 - membits));
}
return binstream;
}
}
Above is a simple BinaryStream class (a bit similar to a Queue<bool>), doesn't have much functionality yet since its just for helping to solve the problem.
Temporary Solution:
byte[][] SplitData(byte[] data, int bits) {
//setup
byte[][] split = new byte[data.Length * 8 / bits][];
int chunkSize = bits / 8 + 1; //chunksize in bytes
BinaryStream bstream = new BinaryStream(data);
for (int i = 0; i < split.Length; i++) {
split[i] = new byte[chunkSize];
int copy = bits; //number of bits to copy
int j = 0; //index at split[] to copy to
while (copy > 0) {
if (copy < 8) {
//copy less than a byte
split[i][j] = (byte) ((bstream[0] & (255 << (8 - copy))) >> (8 - copy));
bstream <<= copy;
} else {
//copy a full byte
split[i][j] = bstream[0];
bstream.MoveBytes(1);
}
copy -= 8;
j++;
}
}
return split;
}
Time Complexity: O(n^2) where n is the data length.
Space Complexity: O(n) where n is the data length.
Not the best solution nor elegant, but it works for now.
Solution using IEnumerables:
IEnumerable<bool[]> SplitDataIntoBinaryChunksOfSize(byte[] data, int x)
{
var currentId = 0;
var currentArray = new bool[x];
foreach (var bit in EnumerateBits(data))
{
currentArray[currentId] = bit;
currentId++;
if(currentId == x)
{
yield return currentArray;
currentArray = new bool[x];
currentId = 0;
}
}
if(currentId > 0)
yield return currentArray;
}
private static readonly byte[] bits = { 128, 64, 32, 16, 8, 4, 2, 1 };
IEnumerable<bool> EnumerateBits(byte[] data)
{
foreach (var d in data)
foreach (var b in bits)
yield return Convert.ToBoolean(d & b);
}
And in .Net 6 it's even simpler:
IEnumerable<bool[]> SplitDataIntoBinaryChunksOfSize(byte[] data, int x)
{
return Enumerable.Chunk(EnumerateBits(data), x);
}
private static readonly byte[] bits = { 128, 64, 32, 16, 8, 4, 2, 1 };
IEnumerable<bool> EnumerateBits(byte[] data)
{
foreach (var d in data)
foreach (var b in bits)
yield return Convert.ToBoolean(d & b);
}
But in that solution the last array will be smaller if there's leftover data.
Related
Could anyone help me optimize this piece of code? Its currently a large bottleneck as it gets called very often. Even a 25% speed improvement would be significant.
public int ReadInt(int length)
{
if (Position + length > Length)
throw new BitBufferException("Not enough bits remaining.");
int result = 0;
while (length > 0)
{
int off = Position & 7;
int count = 8 - off;
if (count > length)
count = length;
int mask = (1 << count) - 1;
int bits = (Data[Position >> 3] >> off);
result |= (bits & mask) << (length - count);
length -= count;
Position += count;
}
return result;
}
Best answer would go to fastest solution. Benchmarks done with dottrace. Currently this block of code takes up about 15% of the total cpu time. Lowest number wins best answer.
EDIT: Sample usage:
public class Auth : Packet
{
int Field0;
int ProtocolHash;
int Field1;
public override void Parse(buffer)
{
Field0 = buffer.ReadInt(9);
ProtocolHash = buffer.ReadInt(32);
Field1 = buffer.ReadInt(8);
}
}
Size of Data is variable but in most cases 512 bytes;
How about using pointers and unsafe context? You didn't say anything about your input data, method context, etc. so I tried to deduct all of these by myself.
public class BitTest
{
private int[] _data;
public BitTest(int[] data)
{
Length = data.Length * 4 * 8;
// +2, because we use byte* and long* later
// and don't want to read outside the array memory
_data = new int[data.Length + 2];
Array.Copy(data, _data, data.Length);
}
public int Position { get; private set; }
public int Length { get; private set; }
and ReadInt method. Hope comments give a little light on the solution:
public unsafe int ReadInt(int length)
{
if (Position + length > Length)
throw new ArgumentException("Not enough bits remaining.");
// method returns int, so getting more then 32 bits is pointless
if (length > 4 * 8)
throw new ArgumentException();
//
int bytePosition = Position / 8;
int bitPosition = Position % 8;
Position += length;
// get int* on array to start with
fixed (int* array = _data)
{
// change pointer to byte*
byte* bt = (byte*)array;
// skip already read bytes and change pointer type to long*
long* ptr = (long*)(bt + bytePosition);
// read value from current pointer position
long value = *ptr;
// take only necessary bits
value &= (1L << (length + bitPosition)) - 1;
value >>= bitPosition;
// cast value to int before returning
return (int)value;
}
}
}
I didn't test the method, but would bet it's much faster then your approach.
My simple test code:
var data = new[] { 1 | (1 << 8 + 1) | (1 << 16 + 2) | (1 << 24 + 3) };
var test = new BitTest(data);
var bytes = Enumerable.Range(0, 4)
.Select(x => test.ReadInt(8))
.ToArray();
bytes contains { 1, 2, 4, 8}, as expected.
I Don't know if this give you a significant improvements but it should give you some numbers.
Instead of creating new int variables inside the loop (this requires a time to create) let reserved those variables before entering the loop.
public int ReadInt(int length)
{
if (Position + length > Length)
throw new BitBufferException("Not enough bits remaining.");
int result = 0;
int off = 0;
int count = 0;
int mask = 0;
int bits = 0
while (length > 0)
{
off = Position & 7;
count = 8 - off;
if (count > length)
count = length;
mask = (1 << count) - 1;
bits = (Data[Position >> 3] >> off);
result |= (bits & mask) << (length - count);
length -= count;
Position += count;
}
return result;
}
HOPE THIS increase your performance even a bit
I can't seem to find if there's a built-in way to do a circular bitshift of a byte array, what C's ROL and ROR used to do with a single byte?
Let me explain, say, I have an array (in binary):
[0] = 11001110
[1] = 01000100
[2] = 10100001
and then if I want to do ROL_Array(1 bit) or move bits 1 bit to the left, I'd get:
[0] = 10011100
[1] = 10001001
[2] = 01000011
or, if I want to do ROR_Array(2 bits) or move bits 2 bits to the right, I'd get:
[0] = 00110011
[1] = 01010001
[2] = 10101000
This is not as simple as you'd think. Here's a quick version before this thread gets closed:
public static byte[] ROL_ByteArray(byte[] arr, int nShift)
{
//Performs bitwise circular shift of 'arr' by 'nShift' bits to the left
//RETURN:
// = Result
byte[] resArr = new byte[arr.Length];
if(arr.Length > 0)
{
int nByteShift = nShift / (sizeof(byte) * 8); //Adjusted after #dasblinkenlight's correction
int nBitShift = nShift % (sizeof(byte) * 8);
if (nByteShift >= arr.Length)
nByteShift %= arr.Length;
int s = arr.Length - 1;
int d = s - nByteShift;
for (int nCnt = 0; nCnt < arr.Length; nCnt++, d--, s--)
{
while (d < 0)
d += arr.Length;
while (s < 0)
s += arr.Length;
byte byteS = arr[s];
resArr[d] |= (byte)(byteS << nBitShift);
resArr[d > 0 ? d - 1 : resArr.Length - 1] |= (byte)(byteS >> (sizeof(byte) * 8 - nBitShift));
}
}
return resArr;
}
and here's a test:
byte[] arr = new byte[] {
Convert.ToByte("11001110", 2),
Convert.ToByte("01000100", 2),
Convert.ToByte("10100001", 2),
};
byte[] arr2 = Auth.ROL_ByteArray(arr, 1);
string sss = "";
for (int i = 0; i < arr2.Length; i++)
sss += Convert.ToString(arr2[i], 2) + ", ";
Debug.WriteLine(sss);
In C#, is there a way to right/left shift an entire byte array (and subsequently adding a byte to a particular side for the last bit isn't lost)?
I know this sounds like a weird request, but I'd still like to know if its possible and/or how to begin doing it.
Just for grins. shifting and rotating bytes in a byte array. (not bitshifting)
shift left, zero fill:
mybytes.Skip(1).Concat(new byte[] { 0 }).ToArray();
shift right, zero fill:
(new byte[] {0}).Concat(mybytes.Take(mybytes.Length - 1)).ToArray();
rotate left:
mybytes.Skip(1).Concat(mybytes.Take(1)).ToArray();
rotate right:
mybytes.Skip(mbytes.Length - 1).Concat(mbytes.Take(mbytes.Length - 1)).ToArray();
Yes, you can. See the following methods I wrote:
/// <summary>
/// Rotates the bits in an array of bytes to the left.
/// </summary>
/// <param name="bytes">The byte array to rotate.</param>
public static void RotateLeft(byte[] bytes)
{
bool carryFlag = ShiftLeft(bytes);
if (carryFlag == true)
{
bytes[bytes.Length - 1] = (byte)(bytes[bytes.Length - 1] | 0x01);
}
}
/// <summary>
/// Rotates the bits in an array of bytes to the right.
/// </summary>
/// <param name="bytes">The byte array to rotate.</param>
public static void RotateRight(byte[] bytes)
{
bool carryFlag = ShiftRight(bytes);
if (carryFlag == true)
{
bytes[0] = (byte)(bytes[0] | 0x80);
}
}
/// <summary>
/// Shifts the bits in an array of bytes to the left.
/// </summary>
/// <param name="bytes">The byte array to shift.</param>
public static bool ShiftLeft(byte[] bytes)
{
bool leftMostCarryFlag = false;
// Iterate through the elements of the array from left to right.
for (int index = 0; index < bytes.Length; index++)
{
// If the leftmost bit of the current byte is 1 then we have a carry.
bool carryFlag = (bytes[index] & 0x80) > 0;
if (index > 0)
{
if (carryFlag == true)
{
// Apply the carry to the rightmost bit of the current bytes neighbor to the left.
bytes[index - 1] = (byte)(bytes[index - 1] | 0x01);
}
}
else
{
leftMostCarryFlag = carryFlag;
}
bytes[index] = (byte)(bytes[index] << 1);
}
return leftMostCarryFlag;
}
/// <summary>
/// Shifts the bits in an array of bytes to the right.
/// </summary>
/// <param name="bytes">The byte array to shift.</param>
public static bool ShiftRight(byte[] bytes)
{
bool rightMostCarryFlag = false;
int rightEnd = bytes.Length - 1;
// Iterate through the elements of the array right to left.
for (int index = rightEnd; index >= 0; index--)
{
// If the rightmost bit of the current byte is 1 then we have a carry.
bool carryFlag = (bytes[index] & 0x01) > 0;
if (index < rightEnd)
{
if (carryFlag == true)
{
// Apply the carry to the leftmost bit of the current bytes neighbor to the right.
bytes[index + 1] = (byte)(bytes[index + 1] | 0x80);
}
}
else
{
rightMostCarryFlag = carryFlag;
}
bytes[index] = (byte)(bytes[index] >> 1);
}
return rightMostCarryFlag;
}
It seems you are performing bit operations on large amount of bits storing them in a byte array. Consider using BitArray class and BitVector32 Structure. Depending on what you are doing with bits you can create a class like this. Note that shifting works in O(1) instead of O(n).
public class BitRing : IEnumerable<bool>
{
private readonly BitArray m_InnerBitArray;
private int m_StarIndex;
public BitRing(byte[] bytes)
{
m_InnerBitArray = new BitArray(bytes);
m_StarIndex = 0;
}
public void ShiftLeft()
{
m_StarIndex++;
}
public void ShiftRight()
{
m_StarIndex--;
}
public bool this[int i]
{
get
{
int index = GetIndex(i);
return m_InnerBitArray[index];
}
set
{
int index = GetIndex(i);
m_InnerBitArray[index] = value;
}
}
private int GetIndex(int i)
{
return i - m_StarIndex%m_InnerBitArray.Count;
}
public IEnumerator<bool> GetEnumerator()
{
for (int i = m_StarIndex; i < m_InnerBitArray.Count; i++)
{
yield return m_InnerBitArray[i];
}
for (int i = 0; i < m_StarIndex; i++)
{
yield return m_InnerBitArray[i];
}
}
IEnumerator IEnumerable.GetEnumerator()
{
return GetEnumerator();
}
}
I've given it some more thought and realized that this probably fits the question better:
public static void Main()
{
byte[] bytes = new byte[] { 0xFF, 0x01, 0x80, 0x81 };
Stack<bool> bitStack = CreateBitStack(bytes);
ShiftLeftExpand(bitStack, 1);
byte[] newBytes = CreateByteArray(bitStack);
}
public static void ShiftLeftExpand(Stack<bool> bitStack, int count)
{
while (count-- > 0)
{
bitStack.Push(false);
}
}
public static Stack<bool> CreateBitStack(byte[] bytes)
{
Stack<bool> bitStack = new Stack<bool>(bytes.Length * 8);
for (int bytePosition = 0; bytePosition < bytes.Length; bytePosition++)
{
for (int bitPosition = 7; bitPosition >= 0; bitPosition--)
{
int bitMask = 0x01 << bitPosition;
bitStack.Push((bytes[bytePosition] & bitMask) > 0);
}
}
return bitStack;
}
public static byte[] CreateByteArray(Stack<bool> bitStack)
{
int newArrayLength = (int)Math.Ceiling(bitStack.Count / 8.0);
byte[] bytes = new byte[newArrayLength];
int bitCounter = 0;
while (bitStack.Count > 0)
{
bool? bitValue = bitStack.Pop();
int bitPosition = bitCounter % 8;
int bytePosition = newArrayLength - 1 - bitCounter / 8;
if (bitValue == true)
{
bytes[bytePosition] = (byte)(bytes[bytePosition] | (0x01 << bitPosition));
}
bitCounter++;
}
return bytes;
}
A similar technique can be applied to perform the right shift.
Linq way:
static class Shifter
{
public static byte[] ShiftLeft(this byte[] array, int n)
{
var a = array.Select(x => (byte)(x >> 8 - n % 8)).Concat(new byte[(7 + n) / 8]).Select((x, i) => new Tuple<int, byte>(i - (n % 8 == 0 ? 0 : 1), x));
var b = array.Select(x => (byte)(x << n % 8)).Concat(new byte[n / 8]).Select((x, i) => new Tuple<int, byte>(i, x));
return (from x in a
join y in b on x.Item1 equals y.Item1 into yy
from y in yy.DefaultIfEmpty()
select (byte)(x.Item2 | (y == null ? 0 : y.Item2))).ToArray();
}
public static byte[] ShiftRight(this byte[] array, int n)
{
return (new byte[n/8]).Concat(ShiftLeft(array, (8 - (n%8))%8)).ToArray();
}
}
I don't think there's a built-in way. I implemented the shift-left operation you described below (assuming little endian). It's not quite as elegant as you can do with x86 assembly (shift with carry instructions), but pretty close to what you could do with C.
Alternately, you can almost use the BigInteger struct (.NET 4 and above) which has a constructor that takes a byte array and a ToByteArray method. But its shift left operation sign-extends the high byte and its shift right operation truncates. So you'd need to compensate for both to get the exact behavior you described.
// Left-shifts a byte array in place. Assumes little-endian. Throws on overflow.
static public void ShiftByteArrayLeft(byte[] array)
{
if (array == null)
throw new ArgumentNullException("array");
if (array[array.Length - 1] >= 0x80)
throw new OverflowException();
// move left-to-right, left-shifting each byte
for (int i = array.Length - 1; i >= 1; --i)
{
// left-shift current byte
array[i] <<= 1;
// carry the bit from the next/right byte if needed
if (array[i - 1] >= 0x80)
++array[i];
}
// finally shift the left-shift the right-most byte
array[0] <<= 1;
}
// Left-shifts a byte array in place. Assumes little-endian. Grows array as needed.
static public void ShiftByteArrayLeftAutoGrow(ref byte[] array)
{
if (array == null)
throw new ArgumentNullException("array");
if (array[array.Length - 1] >= 0x80)
{
// allocate a bigger array and do the left-shift on it
byte[] oldArray = array;
array = new byte[oldArray.Length + 1];
Array.Copy(oldArray, 0, array, 0, oldArray.Length);
}
ShiftByteArrayLeft(array);
}
Shift left:
for (int i = byteArray.Length - 1; i >= 0; i--) byteArray[i] = (byte)((byteArray[i] << 1) | ((i == 0) ? 0 : byteArray[i - 1] >> 7));
Shift right:
for (int i = 0; i <= byteArray.Length - 1; i++) byteArray[i] = (byte)((byteArray[i] >> 1) | ((i == byteArray.Length - 1) ? 0 : byteArray[i + 1] << 7));
These two functions will shift the bits in an array of bytes the specified amount, shifting them into neighboring bytes as needed. Optionally, they can wrap the bits from one end of the array to the other. Note that they create a new array, but the code can be easily changed to modify the passed 'array' instead...
public static byte[] ShiftRight(byte[] array, int shift, bool wrap = false) {
if(shift < 0) {
throw new ArgumentOutOfRangeException("shift");
} else if(shift == 0) {
return (byte[])array.Clone();
} else {
if(wrap) shift %= (array.Length * 8);
if(shift >= (array.Length * 8)) return new byte[array.Length];
var offset = (shift / 8);
shift %= 8;
var ʀ = new byte[array.Length];
for(var ɪ = 0; ɪ < ʀ.Length; ɪ++) {
var indexL_ɪ = (ɪ + offset);
var indexH_ɪ = (ɪ + offset + 1);
if(wrap) {
if(indexL_ɪ >= array.Length) indexL_ɪ -= array.Length;
if(indexH_ɪ >= array.Length) indexH_ɪ -= array.Length;
}
if(indexL_ɪ < array.Length) ʀ[ɪ] = (byte)(array[indexL_ɪ] >> shift);
if(indexH_ɪ < array.Length) ʀ[ɪ] |= (byte)(array[indexH_ɪ] << (8 - shift));
}
return ʀ;
}
}
public static byte[] ShiftLeft(byte[] array, int shift, bool wrap = false) {
if(shift < 0) {
throw new ArgumentOutOfRangeException("shift");
} else if(shift == 0) {
return (byte[])array.Clone();
} else {
if(wrap) shift %= (array.Length * 8);
if(shift >= (array.Length * 8)) return new byte[array.Length];
var offset = (shift / 8);
shift %= 8;
for(var ɪ = 0; ɪ < ʀ.Length; ɪ++) {
var indexL_ɪ = (ɪ - offset - 1);
var indexH_ɪ = (ɪ - offset);
if(wrap) {
if(indexL_ɪ < 0) indexL_ɪ += array.Length;
if(indexH_ɪ < 0) indexH_ɪ += array.Length;
}
if(indexL_ɪ >= 0) ʀ[ɪ] = (byte)(array[indexL_ɪ] >> (8 - shift));
if(indexH_ɪ >= 0) ʀ[ɪ] |= (byte)(array[indexH_ɪ] << shift);
}
return ʀ;
}
}
So Say I have an array of bytes that is 16 long, with each 8 bits representing my data and an array that is 8 long with each 4 bits (so 2 per byte) representing my data.
If I wanted to loop over these and get the values, what would be the easiest way of doing so?
My poor attempt would be something like this, but this doesn't appear to be working as I expect.
for(int i = 0; i < bigByteArray.Length; i++)
{
byte BigByteInfo = bigByteArray[i];
byte SmallByteInfo;
if(i % 2 == 0)
{
SmallByteInfo = smallByteArray[i / 2] % 16;
}
else
{
SmallByteInfo = smallByteArray[i / 2] / 16;
}
//Use of data Here.
}
you can use this class as helper class
public class FoutBitsArrayEnumerator : IEnumeable<byte>
{
FoutBitsArrayEnumerator(byte[] array)
{
this.array = array;
}
public IEnumerator<byte> GetEnumerator
{
foreach (byte i in array)
{
yield return i & 15;
yield return (i >> 4) & 15;
}
}
byte[] array;
}
If I understand right (bigByteArray is 16 long, smallByteArray is 8 long, packed):
for(int i = 0; i < bigByteArray.Length; i++)
{
bigByteArray[i] = (byte)((smallByteArray[i / 2] >> (i % 2 == 0 ? 4 : 0)) & 0xF);
}
Hello quick question regarding bit shifting
I have a value in HEX: new byte[] { 0x56, 0xAF };
which is 0101 0110 1010 1111
I want to the first N bits, for example 12.
Then I must right-shift off the lowest 4 bits (16 - 12) to get 0000 0101 0110 1010 (1386 dec).
I can't wrap my head around it and make it scalable for n bits.
Sometime ago i coded these two functions, the first one shifts an byte[] a specified amount of bits to the left, the second does the same to the right:
Left Shift:
public byte[] ShiftLeft(byte[] value, int bitcount)
{
byte[] temp = new byte[value.Length];
if (bitcount >= 8)
{
Array.Copy(value, bitcount / 8, temp, 0, temp.Length - (bitcount / 8));
}
else
{
Array.Copy(value, temp, temp.Length);
}
if (bitcount % 8 != 0)
{
for (int i = 0; i < temp.Length; i++)
{
temp[i] <<= bitcount % 8;
if (i < temp.Length - 1)
{
temp[i] |= (byte)(temp[i + 1] >> 8 - bitcount % 8);
}
}
}
return temp;
}
Right Shift:
public byte[] ShiftRight(byte[] value, int bitcount)
{
byte[] temp = new byte[value.Length];
if (bitcount >= 8)
{
Array.Copy(value, 0, temp, bitcount / 8, temp.Length - (bitcount / 8));
}
else
{
Array.Copy(value, temp, temp.Length);
}
if (bitcount % 8 != 0)
{
for (int i = temp.Length - 1; i >= 0; i--)
{
temp[i] >>= bitcount % 8;
if (i > 0)
{
temp[i] |= (byte)(temp[i - 1] << 8 - bitcount % 8);
}
}
}
return temp;
}
If you need further explanation please comment on this, i will then edit my post for clarification...
You can use a BitArray and then easily copy each bit to the right, starting from the right.
http://msdn.microsoft.com/en-us/library/system.collections.bitarray_methods.aspx
you want something like...
var HEX = new byte[] {0x56, 0xAF};
var bits = new BitArray(HEX);
int bitstoShiftRight = 4;
for (int i = 0; i < bits.Length; i++)
{
bits[i] = i < (bits.Length - bitstoShiftRight) ? bits[i + bitstoShiftRight] : false;
}
bits.CopyTo(HEX, 0);
If you have k total bits, and you want the "first" (as in most significant) n bits, you can simply right shift k-n times. The last k-n bits will be removed, by sort of "falling" off the end, and the first n will be moved to the least significant side.
Answering using C-like notation, assuming bits_in_byte is the number of bits in a byte determined elsewhere:
int remove_bits_count= HEX.count*bits_in_byte - bits_to_keep;
int remove_bits_in_byte_count= remove_bits_count % bits_in_byte;
if (remove_bits_count > 0)
{
for (int iteration= 0; iteration<min(HEX.count, (bits_to_keep + bits_in_byte - 1)/bits_in_byte); ++iteration)
{
int write_index= HEX.count - iteration - 1;
int read_index_lo= write_index - remove_bits_count/bits_in_byte;
if (read_index_lo>=0)
{
int read_index_hi= read_index_lo - (remove_bits_count + bits_in_byte - 1)/bits_in_byte;
HEX[write_index]=
(HEX[read_index_lo] >> remove_bits_in_byte_count) |
(HEX[read_index_hi] << (bits_in_byte - remove_bits_in_byte_count));
}
else
{
HEX[write_index]= 0;
}
}
}
Assuming you are overwriting the original array, you basically take every byte you write to and figure out the bytes that it would get its shifted bits from. You go from the end of the array to the front to ensure you never overwrite data you will need to read.