What is the explanation for the outcome "-9 >> 2 = -3"?

What is the reason behind

9 >> 2 = 2

compared to

-9 >> 2 = -3

?

Wouldn't it make more sense for it to be -2 instead?

Answer №1

Quoted from the official page on bitwise operators at MDN:

"When working with bitwise operators, all operands are first converted to signed 32-bit integers using big-endian order and two's complement format. In big-endian order, the most significant bit (the one with the highest value) is positioned to the left if the 32 bits were laid out horizontally. In two's complement format, a number's negative version (e.g., -5 instead of 5) involves flipping all bits of the number (known as bitwise NOT or one's complement) and adding one to the result."

Answer №2

1001 (9) >> 2 = 10 (2)

Performing the two's complement on 9 results in -9, giving:

0111 (-9) >> 2 = 01

Calculating the two's complement of the outcome leads to 11, which is equivalent to 3, resulting in a final answer of -3.

Answer №3

When you convert negative numbers to binary:
-1 = 11111111
-2 = 11111110
-3 = 11111101
-4 = 11111100
..
-8 = 11111000
-9 = 11110111

So, following the given binary values:

-9 shifted right by 2 equals -3

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