How is the value of ~10 calculated

#1

how is the value of ~10 calculated?

#2

hello @be10046.19
The bitwise operator ~ (pronounced as tilde) is a complement operator. It takes one bit operand and returns its complement. If the operand is 1, it returns 0, and if it is 0, it returns 1

For example if a=60 (0011 1100 in binary) its complement is -61 (-0011 1101) stored in 2’s complement

similarly ~10 will be -11

#3

means we add 1 to the binary representation of the number and change the sign?

#4

this is what we do only?

#5

yeah u can get answer like that.

#6

this is what actually happens

but answer will always be -(ans+1)

#7

if this not clears ur doubt then refer this .
~ is a 1’s complement operator.

7 ==> 00000000000000000000000000000111

~7==>111111111111111111111111111111111111111111000 which is equal to -8.

How -8 will be stored in computer memory ?

Negative numbers are stored in the form of 2’s complement.

2’s complement can be calculated by adding +1 to 1’s complement of a number.

8 ==> (00000000000000000000000000001000)

1’s complement of 8 ==> (11111111111111111111111111110111)

Add +1 11111111111111111111111111110111 + 1 ==>11111111111111111111111111111000 (-8)

So ~7 binary representation is equals to -8 binary representation.

So ~7 is -8.