Is (1<<29) the biggest integer?

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1<<29.what does this mean?
i know its bitwise operation?

What I have tried:

and why is it defined?

1<<29.how this can be biggest integer?

Posted 27-Sep-18 7:53am

Prateek Krishna

Updated 27-Sep-18 8:23am

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OriginalGriff · Answer 1 · 2018-09-27T08:06:00

Solution 1

Yes, it's a bit wise operation:

x << y

moves x to the left by y bits.

x  y  x << y  binary
1  1  2       000010 
2  1  4       000100 
1  3  8       001000
...

So

1 << 29

is one moved 29 bits to the left.or if you prefer, a one followed by 29 zeros in binary, or 536,870,912 which is nowhere near the largest possible value in a signed 32 bit integer: 2,147,483,647 or 01111111111111111111111111111111 in binary.

Posted 27-Sep-18 8:06am

OriginalGriff

Comments

Maciej Los 27-Sep-18 14:21pm

5ed!

Patrice T 27-Sep-18 15:03pm

Are you usre ?

2  1  4       000100

I would have expected

1  2  4       000100

phil.o 28-Sep-18 4:43am

You are right there is a typo, even if in this case, 2 << 1 == 1 << 2. Half a mistake, so :)

phil.o · Answer 2 · 2018-09-27T08:24:00

For a 32-bits signed integer, the maximum [positive] value is (1 << 31) - 1 (because 1 << 31 represents the minimum [negative] value), or 2 147 483 647.

For a 32-bits unsigned integer, the maximum value is (1 << 32) - 1 (minimum value being 0), or 4 294 967 295.

Similarly:

For a 64-bits signed integer, the maximum value is (1 << 63) - 1 (because 1 << 63 represents the minimum [negative] value), or 9 223 372 036 854 775 807.

For a 64-bits unsigned integer, the maximum value is (1 << 64) - 1, or 18 446 744 073 709 551 615.

Maybe this will help you understanding binary shifting operations:
Arithmetic shift - Wikipedia[^]