What does ‘Q’ mean for unsigned fixed-point number representation? - binary

The standard for an arbitrary unsigned fixed-point number is denoted as UQm.n
Presumably, the U stands for “unsigned”, but what does Q stand for?

Related

Out of range decimal type Mysql?

I need to store int and floating values numbers in field.
I use this type for field: decimal(5,4).
When I tried to store number 10 I got an error: Out of range decimal.
Why, if decimal(5,4) allows 5 position before dot and 4 positions after?
In the decimal(x, y) format, the x stands for the total number of digits, and y for the number of digits after the decimal place (. or ,). If assuming you want to store numbers up to 4 digits long (1000) with a precision of 2 (0.01) you'd need to use decimal(6, 2).
You are misunderstanding. decimal(5, 4) has 5 total digits of precision with 4 digits of scale after the decimal place. Hence, one is before.
You seem to want decimal(9, 4).

MySql Data size [duplicate]

What is the size of column of int(11) in mysql in bytes?
And Maximum value that can be stored in this columns?
An INT will always be 4 bytes no matter what length is specified.
TINYINT = 1 byte (8 bit)
SMALLINT = 2 bytes (16 bit)
MEDIUMINT = 3 bytes (24 bit)
INT = 4 bytes (32 bit)
BIGINT = 8 bytes (64 bit).
The length just specifies how many characters to pad when selecting data with the mysql command line client. 12345 stored as int(3) will still show as 12345, but if it was stored as int(10) it would still display as 12345, but you would have the option to pad the first five digits. For example, if you added ZEROFILL it would display as 0000012345.
... and the maximum value will be 2147483647 (Signed) or 4294967295 (Unsigned)
INT(x) will make difference only in term of display, that is to show the number in x digits, and not restricted to 11. You pair it using ZEROFILL, which will prepend the zeros until it matches your length.
So, for any number of x in INT(x)
if the stored value has less digits than x, ZEROFILL will prepend zeros.
INT(5) ZEROFILL with the stored value of 32 will show 00032
INT(5) with the stored value of 32 will show 32
INT with the stored value of 32 will show 32
if the stored value has more digits than x, it will be shown as it is.
INT(3) ZEROFILL with the stored value of 250000 will show 250000
INT(3) with the stored value of 250000 will show 250000
INT with the stored value of 250000 will show 250000
The actual value stored in database is not affected, the size is still the same, and any calculation will behave normally.
This also applies to BIGINT, MEDIUMINT, SMALLINT, and TINYINT.
According to here, int(11) will take 4 bytes of space that is 32 bits of space with 2^(31) = 2147483648 max value and -2147483648min value. One bit is for sign.
As others have said, the minumum/maximum values the column can store and how much storage it takes in bytes is only defined by the type, not the length.
A lot of these answers are saying that the (11) part only affects the display width which isn't exactly true, but mostly.
A definition of int(2) with no zerofill specified will:
still accept a value of 100
still display a value of 100 when output (not 0 or 00)
the display width will be the width of the largest value being output from the select query.
The only thing the (2) will do is if zerofill is also specified:
a value of 1 will be shown 01.
When displaying values, the column will always have a width of the maximum possible value the column could take which is 10 digits for an integer, instead of the miniumum width required to display the largest value that column needs to show for in that specific select query, which could be much smaller.
The column can still take, and show a value exceeding the length, but these values will not be prefixed with 0s.
The best way to see all the nuances is to run:
CREATE TABLE `mytable` (
`id` int(11) NOT NULL AUTO_INCREMENT,
`int1` int(10) NOT NULL,
`int2` int(3) NOT NULL,
`zf1` int(10) ZEROFILL NOT NULL,
`zf2` int(3) ZEROFILL NOT NULL,
PRIMARY KEY (`id`)
) ENGINE=InnoDB DEFAULT CHARSET=utf8;
INSERT INTO `mytable`
(`int1`, `int2`, `zf1`, `zf2`)
VALUES
(10000, 10000, 10000, 10000),
(100, 100, 100, 100);
select * from mytable;
which will output:
+----+-------+-------+------------+-------+
| id | int1 | int2 | zf1 | zf2 |
+----+-------+-------+------------+-------+
| 1 | 10000 | 10000 | 0000010000 | 10000 |
| 2 | 100 | 100 | 0000000100 | 100 |
+----+-------+-------+------------+-------+
This answer is tested against MySQL 5.7.12 for Linux and may or may not vary for other implementations.
What is the size of column of int(11) in mysql in bytes?
(11) - this attribute of int data type has nothing to do with size of column. It is just the display width of the integer data type. From 11.1.4.5. Numeric Type Attributes:
MySQL supports an extension for optionally specifying the display
width of integer data types in parentheses following the base keyword
for the type. For example, INT(4) specifies an INT with a display
width of four digits.
A good explanation for this can be found here
To summarize : The number N in int(N) is often confused by the maximum size allowed for the column, as it does in the case of varchar(N). But this is not the case with Integer data types- the number N in the parentheses is not the maximum size for the column, but simply a parameter to tell MySQL what width to display the column at when the table's data is being viewed via the MySQL console (when you're using the ZEROFILL attribute).
The number in brackets will tell MySQL how many zeros to pad incoming integers with. For example: If you're using ZEROFILL on a column that is set to INT(5) and the number 78 is inserted, MySQL will pad that value with zeros until the number satisfies the number in brackets. i.e. 78 will become 00078 and 127 will become 00127. To sum it up: The number in brackets is used for display purposes.
In a way, the number in brackets is kind of usless unless you're using the ZEROFILL attribute.
So the size for the int would remain same i.e., -2147483648 to 2147483648 for signed and 0 to 4294967295 for unsigned (~ 2.15 billions and 4.2 billions, which is one of the reasons why developers remain unaware of the story behind the Number N in parentheses, as it hardly affects the database unless it contains over 2 billions of rows), and in terms of bytes it would be 4 bytes.
For more information on Integer Types size/range, refer to MySQL Manual
In MySQL integer int(11) has size is 4 bytes which equals 32 bit.
Signed value is : -2^(32-1) to 0 to 2^(32-1)-1
= -2147483648 to 0 to 2147483647
Unsigned values is : 0 to 2^32-1
= 0 to 4294967295
Though this answer is unlikely to be seen, I think the following clarification is worth making:
the (n) behind an integer data type in MySQL is specifying the display width
the display width does NOT limit the length of the number returned from a query
the display width DOES limit the number of zeroes filled for a zero filled column so the total number matches the display width (so long as the actual number does not exceed the display width, in which case the number is shown as is)
the display width is also meant as a useful tool for developers to know what length the value should be padded to
A BIT OF DETAIL
the display width is, apparently, intended to provide some metadata about how many zeros to display in a zero filled number.
It does NOT actually limit the length of a number returned from a query if that number goes above the display width specified.
To know what length/width is actually allowed for an integer data type in MySQL see the list & link: (types: TINYINT, SMALLINT, MEDIUMINT, INT, BIGINT);
So having said the above, you can expect the display width to have no affect on the results from a standard query, unless the columns are specified as ZEROFILL columns
OR
in the case the data is being pulled into an application & that application is collecting the display width to use for some other sort of padding.
Primary Reference: https://blogs.oracle.com/jsmyth/entry/what_does_the_11_mean
according to this book:
MySQL lets you specify a “width” for integer types, such as INT(11).
This is meaningless for most applications: it does not restrict the
legal range of values, but simply specifies the number of characters
MySQL’s interactive tools will reserve for display purposes. For
storage and computational purposes, INT(1) is identical to INT(20).
I think max value of int(11) is 4294967295
4294967295 is the answer, because int(11) shows maximum of 11 digits IMO

Binary math on Number objects limited to 32 bits?

Consider the following code:
var combined:Number = Number(4294967296) | Number(2403025069);
var testLimit:Number = 6697992365;
trace("Combined is:", combined, "should be", testLimit);
Output is:
Combined is: -1891942227 should be 6697992365
Why?! I thought Number datatypes can hold 64 bit integers (okay- really 52-bit, but the numbers above are nowhere near that limit)
From the documentation:
| bitwise OR Operator
Converts expression1 and expression2 to 32-bit unsigned integers, and places a 1 in each bit position where the corresponding bits of either expression1 or expression2 are 1.
...
The result is interpreted as a 32-bit two's complement number, so the result is an integer in the range -2147483648 to 2147483647.

mysql insert/update converts a number

I have two mysql columns both int unsigned zerofill. The first 5 in length, second 11 in length. First value takes any 5 digit number no problem. The second, no matter what converts any 11 digit number into 04294967295. Any clue on what I can do to solve this puzzle?
Your number is larger than the integer field can handle - 232 - 1.
Change the column to an unsigned BIGINT and you'll be good up to 18,446,744,073,709,551,615.
The length you give to an integer field is just for displaying. If you pass a length 11, a select commando on that column will display a number of 11 digits (which is the length of the number you got). The actual size of the field is determined by the type you chose for the column (int). int-fields are capable of storing 232 different values. For an unsigned field having 0 as its first value, this results in a maximum value of 232 - 1, which matches the number in your output. Since any 11 digit number you input will be bigger than this number, the value saved will be 232 - 1.
You can overcome this limitation by using the BIGINT-type, which allows you to store any number up to 264.
Range of UNSIGNED INT is 0 to 4294967295. so Any value above 4294967295, it will insert that max value, as that is the maximum value possible for unsigned INT.

Why INT(11) when it only stores 10 digits?

I know that the number inside parenthesis does not control the storage limit; but I am curious why it is popular to write INT(11) when it only stores 10 digits (unsigned 4,294,967,295). Using numbers smaller than the capacity like tinyint(1) is understandable but why higher?
A signed integer is 11: 10 digits + 1 sign
An unsigned integer is 10.
That's because the 11 counts the sign digit
When dealing with the INT type, the "size" is the display size. An INT is 4 bytes.
The extra (10 + 1) is for the minus sign. If you make it an unsigned int, the size will default to 10 instead of 11.
There would be no reason to go beyond 11.