This method shifts the relevant bit to the zeroth position. Then we perform AND operation with one which has bit pattern like 0001. This clears all bits from the original number except the relevant one. If the relevant bit is one, the result is 1, otherwise the result is 0.

See getBit function for further details.

Set Bit

This method shifts 1 over by bitPosition bits, creating a value that looks like 00100. Then we perform OR operation that sets specific bit into 1 but it does not affect on other bits of the number.

See setBit function for further details.

Clear Bit

This method shifts 1 over by bitPosition bits, creating a value that looks like 00100. Than it inverts this mask to get the number that looks like 11011. Then AND operation is being applied to both the number and the mask. That operation unsets the bit.

See clearBit function for further details.

Update Bit

This method is a combination of "Clear Bit" and "Set Bit" methods.

See updateBit function for further details.

Multiply By Two

This method shifts original number by one bit to the left. Thus all binary number components (powers of two) are being multiplying by two and thus the number itself is being multiplied by two.

Before the shift
Number: 0b0101 = 5
Powers of two: 0 + 2^2 + 0 + 2^0 

After the shift
Number: 0b1010 = 10
Powers of two: 2^3 + 0 + 2^1 + 0

See multiplyByTwo function for further details.

Divide By Two

This method shifts original number by one bit to the right. Thus all binary number components (powers of two) are being divided by two and thus the number itself is being divided by two without remainder.

Before the shift
Number: 0b0101 = 5
Powers of two: 0 + 2^2 + 0 + 2^0 

After the shift
Number: 0b0010 = 2
Powers of two: 0 + 0 + 2^1 + 0

See divideByTwo function for further details.

Switch Sign

This method make positive numbers to be negative and backwards. To do so it uses "Twos Complement" approach which does it by inverting all of the bits of the number and adding 1 to it.

See switchSign function for further details.

Multiply Two Numbers

This method multiplies two integer numbers using bitwise operators. This method is based on that "Every number can be denoted as the sum of powers of 2".

The main idea of bitwise multiplication is that every number may be split to the sum of powers of two:

I.e.

19 = 2^4 + 2^1 + 2^0

Then multiplying number x by 19 is equivalent of:

x * 19 = x * 2^4 + x * 2^1 + x * 2^0

Now we need to remember that x * 2^4 is equivalent of shifting x left by 4 bits (x << 4).

See multiplyUnsigned function for further details.

Count Set Bits

This method counts the number of set bits in a number using bitwise operators. The main idea is that we shift the number right by one bit at a time and check the result of & operation that is 1 if bit is set and 0 otherwise.

Number: 5 = 0b0101
Count of set bits = 2

See countSetBits function for further details.

README.md

Bit Manipulation

Get Bit