Why 2^31 1

If the property value begins with the ASCII character 0 followed by another character, it is parsed as an octal integer exactly as by the method valueOf java. String, int with radix 8. Otherwise, the property value is parsed as a decimal integer exactly as by the method valueOf java. The default value is returned if there is no property of the specified name, if the property does not have the correct numeric format, or if the specified name is empty or null.

This sequence of characters must represent a positive value or a NumberFormatException will be thrown. The result is negated if first character of the specified String is the minus sign. No whitespace characters are permitted in the String. Parameters: nm - the String to decode. Returns: an Integer object holding the int value represented by nm Throws: NumberFormatException - if the String does not contain a parsable integer.

Returns: the value 0 if this Integer is equal to the argument Integer ; a value less than 0 if this Integer is numerically less than the argument Integer ; and a value greater than 0 if this Integer is numerically greater than the argument Integer signed comparison.

The value returned is identical to what would be returned by: Integer. In an unsigned conversion to a long , the high-order 32 bits of the long are zero and the low-order 32 bits are equal to the bits of the integer argument. Consequently, zero and positive int values are mapped to a numerically equal long value and negative int values are mapped to a long value equal to the input plus 2 Parameters: x - the value to convert to an unsigned long Returns: the argument converted to long by an unsigned conversion Since: 1.

Note that in two's complement arithmetic, the three other basic arithmetic operations of add, subtract, and multiply are bit-wise identical if the two operands are regarded as both being signed or both being unsigned. Therefore separate addUnsigned , etc.

Parameters: dividend - the value to be divided divisor - the value doing the dividing Returns: the unsigned quotient of the first argument divided by the second argument Since: 1. Parameters: dividend - the value to be divided divisor - the value doing the dividing Returns: the unsigned remainder of the first argument divided by the second argument Since: 1. Returns zero if the specified value has no one-bits in its two's complement binary representation, that is, if it is equal to zero.

Parameters: i - the value whose highest one bit is to be computed Returns: an int value with a single one-bit, in the position of the highest-order one-bit in the specified value, or zero if the specified value is itself equal to zero. Parameters: i - the value whose lowest one bit is to be computed Returns: an int value with a single one-bit, in the position of the lowest-order one-bit in the specified value, or zero if the specified value is itself equal to zero.

Returns 32 if the specified value has no one-bits in its two's complement representation, in other words if it is equal to zero. Note that this method is closely related to the logarithm base 2. Parameters: i - the value whose number of trailing zeros is to be computed Returns: the number of zero bits following the lowest-order "rightmost" one-bit in the two's complement binary representation of the specified int value, or 32 if the value is equal to zero.

This function is sometimes referred to as the population count. Parameters: i - the value whose bits are to be counted Returns: the number of one-bits in the two's complement binary representation of the specified int value.

Bits shifted out of the left hand, or high-order, side reenter on the right, or low-order. Parameters: i - the value whose bits are to be rotated left distance - the number of bit positions to rotate left Returns: the value obtained by rotating the two's complement binary representation of the specified int value left by the specified number of bits.

Bits shifted out of the right hand, or low-order, side reenter on the left, or high-order. Parameters: i - the value whose bits are to be rotated right distance - the number of bit positions to rotate right Returns: the value obtained by rotating the two's complement binary representation of the specified int value right by the specified number of bits.

Parameters: i - the value to be reversed Returns: the value obtained by reversing order of the bits in the specified int value. The return value is -1 if the specified value is negative; 0 if the specified value is zero; and 1 if the specified value is positive.

Parameters: i - the value whose signum is to be computed Returns: the signum function of the specified int value. Parameters: i - the value whose bytes are to be reversed Returns: the value obtained by reversing the bytes in the specified int value. Parameters: a - the first operand b - the second operand Returns: the sum of a and b Since: 1. Parameters: a - the first operand b - the second operand Returns: the greater of a and b Since: 1. Parameters: a - the first operand b - the second operand Returns: the smaller of a and b Since: 1.

That documentation contains more detailed, developer-targeted descriptions, with conceptual overviews, definitions of terms, workarounds, and working code examples.

All rights reserved. Use is subject to license terms. Also see the documentation redistribution policy. Skip navigation links. Object java. Number java. An object of type Integer contains a single field whose type is int. A constant holding the maximum value an int can have, 2 31 A constant holding the minimum value an int can have, -2 The number of bits used to represent an int value in two's complement binary form. The Class instance representing the primitive type int.

Constructs a newly allocated Integer object that represents the specified int value. Constructs a newly allocated Integer object that represents the int value indicated by the String parameter.

Returns the number of one-bits in the two's complement binary representation of the specified int value. Returns the value of this Integer as a byte after a narrowing primitive conversion. Compares two int values numerically treating the values as unsigned. Returns the unsigned quotient of dividing the first argument by the second where each argument and the result is interpreted as an unsigned value.

Returns the value of this Integer as a double after a widening primitive conversion. Returns the value of this Integer as a float after a widening primitive conversion. Returns a hash code for a int value; compatible with Integer. Returns an int value with at most a single one-bit, in the position of the highest-order "leftmost" one-bit in the specified int value. Returns the value of this Integer as a long after a widening primitive conversion.

Returns an int value with at most a single one-bit, in the position of the lowest-order "rightmost" one-bit in the specified int value. Returns the greater of two int values as if by calling Math. Returns the smaller of two int values as if by calling Math. Returns the number of zero bits preceding the highest-order "leftmost" one-bit in the two's complement binary representation of the specified int value.

Returns the number of zero bits following the lowest-order "rightmost" one-bit in the two's complement binary representation of the specified int value. I simply chose some commonly used ones to provide a simple conceptual example. Now, if you're on an 8-bit CPU, when you write to memory, you may find some restrictions about being able to refer to an address of 8-bits, not an address of 4 bits or bits.

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Learn more. Ask Question. Asked 7 years, 10 months ago. Active 8 months ago. Viewed k times. Improve this question. The question is flawed. They do it all the time, with 'long' and so on. Some modern languages don't even have a problem with the length of a given number.

Please keep comments on-topic, polite, and relevant to the technical aspects of the question. Nearly 50 joke comments already had to be removed, and we'd like to avoid having to lock the post. Thank you. This question has been written in a way that is a bit sloppy. What do you mean by "write" and "display" the number ?

When you wrote the question you wrote the number , and your web browser displays it just fine, I assume, but this should be nothing strange to anyone that has ever used a computer before. The question asks for free interpretation. The human consciousness is estimated to hold about 50 bits I read somewhere. Show 4 more comments. Active Oldest Votes. Improve this answer. Scott Chamberlain. Funny, codename. How then do you count on your fingers to 32 or more i. What I would like to see is counting to 1, or more with the pedial dexterity to move to one's toes for further counting in binary - up to 1,,!

Please keep comments on-topic and relevant to discussing the technical aspects of this answer. Over 60 joke comments have already been deleted from this answer, and we'd like to avoid having to lock the post. Once you run out of fingers you add the amount to the stack and restart counting. Where did you learn that, codename?

I heard this first from Frederik Pohl, see e. I think this is not the answer to the relevant question. Answer by Bigbio is the correct one. Here "" is not a number but a text, just like "adsfjhekgnoregrebgoregnkevnregj".

What you are saying is true, but I strongly feel this is not the correct answer. And to see so many upvotes Actually that is mostly correct but not quite.

A 32 point floating point number is unlikely to be able to accurately represent It will represent a number very very close to the desired number but not exactly it. TimB: Have you heard about decimal32 format? It's part of IEEE standard. This format is capable of correct representation of this number: — V-X. True, that can. However that is not the format people mean when they say "float", which usually refers to a 32bit floating point number as stored and used by standard floating point processors in current computers.

TimB indeed. The closest number to that which can be represented as a float32 is — greggo. TimB: But a bit floating-point number can easily represent exactly. Second, 1 trillion and are two different things. Let's assume ASCII is used for text encoding, so in memory it will look like this: converting ASCII codes corresponding to 0 and 1 to binary, each word in a separate line Four characters fit in one word, the rest is moved to the next one.

For the sake of simplicity let's assume that: our imaginary computer uses decimal instead of binary one byte can hold numbers Now let's store 9 9 0 0 Again, we have used second byte to store the number.

Let's add 1: 0 0 0 0 Whoops Your answer reads rather condescendingly. OP is clearly talking about the number, not the text: large as the number 1 trillion Also, you are almost talking about Arbitrary-precision arithmetic , but you never really mention any of the terms for what you are saying ElzoValugi It is.

I had to find some way to present the concept of abstract number, as opposed to string representing a number. I believe "1 trillion" is a better and less ambiguous way to do it see the proof in answer. MirroredFate I disagree with 'is clearly talking about the number'. OP says 'displayed fine', which clearly is talking about the text '' to me Characters are just symbols.

They can represent digits or numbers, but definitely they aren't numbers. There's a huge difference between characters and numbers. Show 5 more comments. You can do that in this reality.

Try doing that in the Star Trek universe. Just stand back before, because of all the sparks and smoke. That is not exactly how fixed-point works. It is actually a system where numbers are scaled and biased to produce the decimal point. Add a comment. The key is understanding how computers encode numbers. It's all in your question. Good answer except for the details - 16bits of address space gave you 64kb, not 32mb, and machines like the had bit addresses for 16mb. As Phil mentioned, was bit CPU but used 24 bits for addressing through memory segmentation.

See PAE. So according to your reasoning for example Z80 or are bit processors because of bit memory addressing and memory bus? Show 3 more comments. I haven't downvoted, but there's a number of problems with your answer. IPv4 wad invented before bit CPUs were introduced, so saying that addresses were stored in bit integers is in conflict with OP's question. And finally IPv6 is using bit addresses, not bit. Not true, the original Pentium processor had a bit data bus for high memory bandwidth, even though it was a bit processor.

The was a bit processor with an 8-bit data bus. Adam Davis. The difference lies in how we store data in computers. That's not really true; what 64 bit refers to is inconsistent, but systems with register widths of 64 bit are frequently called 64 bit.

Wikipedia says "a bit computer architecture generally has integer and addressing registers that are 64 bits wide". Yes, the modern x86 or AMD product line has huge special purpose registers, but they have 64 bit main registers and can access bits of memory; the older x86 systems have 32 bit main registers and access bits of memory, and the was called a bit chip, had bit wide registers and accessed 20 bits of memory.

Feel free to edit this into the answer. So, just to clarify something that's hinted at but not explicitly expressed in any of the other answers, and which I think is the crux of the matter: You're mixing up several concepts in your question , and one of them "32 bit" can actually refer to a variety of different things and different answers have assumed different interpretations.

The primary or at least the most well-known distinction between IPv4 and IPv6 is that the address space i. This has to do with how many bits in each packet of data sent across the network are allocated for i. Non-computing analogy: Each packet is like a letter sent via snail-mail, and the address space is like the amount of characters you're "allowed" to use when writing the address and return-address on the envelope.

I don't see this mentioned in any of the other answers so far. Computer-memory "words" bit and bit can generally be thought of as the smallest piece of data that a computer uses, or "thinks" in.

These bits of data come together to make up other bits of data, such as chunks of text or larger integers. Non-computing analogy: words can be thought of a bit like letters making up words on paper, or even as individual words in a train of thought.

See Guffa's answer , sanaris's answer , and the first paragraph of gronostaj's answer. Pointers are the lowest-level way in which a computer can record the location in memory of some arbitrary chunk of data. Note that the pointer size used by the computer or, really, by the operating system limits the range of memory that can be accessed by a single pointer, since there are only as many possible memory locations that a pointer can "point" to as there are possible values for the pointer itself.

This is analogous to the way in which IPv4 limits the range of possible internet addresses, but does not limit the amount of data that can be present in, for instance, a particular web page. However, pointer size does not limit the size of the data itself to which the pointer can point. For an example of a scheme for allowing data size to exceed pointer range, check out Linux's inode pointer structure.

Note that this is a slightly different use of the word "pointer" than is typical, since pointer usually refers to a pointer in to random access memory, not hard drive space. Non-computing analogy: hmmmm Perhaps the Dewey decimal system for indexing library materials is a bit similar? Or any indexing system, really. See SiteNook's answer. Please note that my explanation of pointers above elides some subtle details and is arguably not entirely correct.

However, in programming languages in which programmers work directly with pointers, the mental mode I've drawn is usually sufficient for practical purposes.

The numbers that a computer is "able to display" are not for practical purposes limited by the computer's hardware or operating system; they are treated like any other text.

Non-computing analogy: writing on a piece of paper See user's answer and Bigbio's answer Note that this is not intended to be a comprehensive list of interpretations for the phrase "32 bit. I think the reference to IPv4 was to point out that the number of IPv4 addresses is effectively limited to the length of a signed bit integer, whereas IPv6 uses bits and can therefore have many orders of magnitude more addresses.

Clonkex Possibly, although that's definitely not the question is phrased. This "answer" is incorrect: calculators use BCD number representation in order to avoid truncation errors. In case you'd like a practical example of how many programs on a typical Linux system handle large number processing and output: libgmp - The GNU Multiple Precision Arithmetic Library is the most widely used library for this purpose on Linux systems. This situation is called an overflow. We now have Since we had an overflow, it means that we have to add 1 to the next number.

In my mind I know 36, but I typically only use 16 of them. It is not important how you encode numbers in the memory of your brain. You've got a finite number of representations; most have learnt 10 different symbols. Inside your brain, this is probably represented in the form of thousands of neurons and synapses.

In a computer it is represented in the form of electricity or no electricity on a power line. From a programming perspective - or when learning maths, it is not important at all, except in the rare case where you're programming directly for a specific set of CPUs.

The second argument is the default value. An Integer object that represents the value of the second argument is returned if there is no property of the specified name, if the property does not have the correct numeric format, or if the specified name is empty or null.

Parameters: nm - property name. String getInteger public static Integer getInteger String nm, Integer val Returns the integer value of the system property with the specified name.

The string value of this property is then interpreted as an integer value, as per the Integer. If the property value begins with the two ASCII characters 0x or the ASCII character , not followed by a minus sign, then the rest of it is parsed as a hexadecimal integer exactly as by the method valueOf java.

String, int with radix If the property value begins with the ASCII character 0 followed by another character, it is parsed as an octal integer exactly as by the method valueOf java. String, int with radix 8. Otherwise, the property value is parsed as a decimal integer exactly as by the method valueOf java. The default value is returned if there is no property of the specified name, if the property does not have the correct numeric format, or if the specified name is empty or null.

String , decode java. This sequence of characters must represent a positive value or a NumberFormatException will be thrown. The result is negated if first character of the specified String is the minus sign. No whitespace characters are permitted in the String. Parameters: nm - the String to decode.

Returns: an Integer object holding the int value represented by nm Throws: NumberFormatException - if the String does not contain a parsable integer. Returns: the value 0 if this Integer is equal to the argument Integer ; a value less than 0 if this Integer is numerically less than the argument Integer ; and a value greater than 0 if this Integer is numerically greater than the argument Integer signed comparison.

The value returned is identical to what would be returned by: Integer. Returns zero if the specified value has no one-bits in its two's complement binary representation, that is, if it is equal to zero.

Returns: an int value with a single one-bit, in the position of the highest-order one-bit in the specified value, or zero if the specified value is itself equal to zero. Returns: an int value with a single one-bit, in the position of the lowest-order one-bit in the specified value, or zero if the specified value is itself equal to zero.

Returns 32 if the specified value has no one-bits in its two's complement representation, in other words if it is equal to zero. Note that this method is closely related to the logarithm base 2. Returns: the number of zero bits following the lowest-order "rightmost" one-bit in the two's complement binary representation of the specified int value, or 32 if the value is equal to zero. This function is sometimes referred to as the population count.

Returns: the number of one-bits in the two's complement binary representation of the specified int value. Bits shifted out of the left hand, or high-order, side reenter on the right, or low-order.

Returns: the value obtained by rotating the two's complement binary representation of the specified int value left by the specified number of bits. Bits shifted out of the right hand, or low-order, side reenter on the left, or high-order. Returns: the value obtained by rotating the two's complement binary representation of the specified int value right by the specified number of bits.

Returns: the value obtained by reversing order of the bits in the specified int value. The return value is -1 if the specified value is negative; 0 if the specified value is zero; and 1 if the specified value is positive.

Returns: the signum function of the specified int value. Returns: the value obtained by reversing the bytes in the specified int value. That documentation contains more detailed, developer-targeted descriptions, with conceptual overviews, definitions of terms, workarounds, and working code examples.

All rights reserved. Use is subject to license terms. Also see the documentation redistribution policy. Object java. Number java. An object of type Integer contains a single field whose type is int. A constant holding the minimum value an int can have, -2 The number of bits used to represent an int value in two's complement binary form. The Class instance representing the primitive type int. Constructs a newly allocated Integer object that represents the specified int value. Constructs a newly allocated Integer object that represents the int value indicated by the String parameter.

Returns the number of one-bits in the two's complement binary representation of the specified int value. Returns an int value with at most a single one-bit, in the position of the highest-order "leftmost" one-bit in the specified int value. Returns an int value with at most a single one-bit, in the position of the lowest-order "rightmost" one-bit in the specified int value. Returns the number of zero bits preceding the highest-order "leftmost" one-bit in the two's complement binary representation of the specified int value.

Returns the number of zero bits following the lowest-order "rightmost" one-bit in the two's complement binary representation of the specified int value.

Parses the string argument as a signed integer in the radix specified by the second argument.