Bitwise Operators

Bitwise Operators

These operators act on individual bits (0 and 1) of the operand. We can use Bitwise operators directly on binary numbers or on integers also.

Bitwise Operators	Meaning
&	If both bits are 1 then only the result is 1 otherwise result is 0
|	If at least one bit is 1 then the result is 1 otherwise result is 0
^ (Cap operator)	It bits are different then the only result is 1 otherwise result is 0
~ (tilde)	Bitwise complement operator i.e 1 means 0 and 0 means 1
>>	Bitwise left shift operator
<<	Bitwise right shift operator

Bitwise AND Operator(&):

This operator performs AND operation on the individual bits of numbers. The symbol for this operator is ‘&’, which is called ampersand.

The AND gate circuit present in the computer, the chip will perform the AND operation.

Related Video: https://youtu.be/xBNdZ2ytTiU

Bitwise operators are applicable only  for int and Boolean types.

By mistake, if we are trying to apply for any other type then we will get error.

print(4&5)-àValid

print(2.5&6.2)-àError:

print(2.3&2) -àError

>>> print(True&True)

True

>>> print(True&False)

False

>>> print(2&6)

2

2	2
2	1	0
2	0	1

Read the remainders from bottom to up

10 remaining 6 bits filled with 0s

i.e 000000 10

Read the remainders from bottom to up

Binary form of 6 is 110 (remaining 5 bits are filled with 0s) i.e

00000111

A&b is:

A:-à  0 0 0 0 0 0 1 0

B:à   0 0 0 0 0 1 1 1

-----------------

A&b= 0 0 0 0 0 0 1 0

------------------------

Now we need to convert from binary to decimal:

0	0	0	0	0	0	1	0
27	26	25	24	23	22	21	20
128	64	32	16	8	4	2	1
0	0	0	0	0	0	2	0

Add 1’s: 0+0+0+0+0+0+2+0=2

So result is 2

Steps to convert decimal to Binary

1.  Write down the decimal number ex: 6

2.  Divide the decimal number by 2

3.  Write the result underneath (below)

4.  

Write the remainder on the right hand side. This will be 0 or 1

5.  Divide the result of the division by 2 and again write down the remainder

 6.  Continue dividing and writing down remainders until the result of the division is 0

7.  Read the remainders from bottom to up

Steps to convert binary to decimal:

Converting from binary to decimal involves multiplying the value of each digit.

1.  Write down the number

2.  Multiply the digit by value place holder

3.  Continue doing this until you the number

Add the result together (only 1’s)

Related Video:  https://youtu.be/xBNdZ2ytTiU

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