Detailed explanation of JS numerical Number type (graphic tutorial)

This article mainly gives you a detailed analysis of the relevant knowledge points of the JavaScript numerical Number type. Friends who are interested in this can follow me to learn together.

Number Question

Can you answer all the following questions correctly?

• 0.1 0.2 == 0.3 Is it true?

• .e-5 means how much? How does

• represent octal?

• How to convert base?

• How to convert a string into a numerical value or integer? What about the other way around? How to deal with hexadecimal?

• What is the return value of parseInt(0x12, 16)? Is it 0x12?

• Number.MAX_VALUE is the maximum value. What is (new Number(12)).MAX_VALUE?

• How to round in JavaScript? How to preserve 3 decimal places of precision?

• How to get a random number? How to round? How to round up?
  

Number number representation method

The Number type represents a number, and JavaScript uses the "double-precision 64-bit format defined by the IEEE 754 standard" ("double-precision 64 -bit format IEEE 754 values") represents numbers.

Unlike other programming languages (such as C and Java), JavaScript does not distinguish between integer values and floating point values. All numbers are represented by floating point values in JavaScript, so special attention should be paid when performing numerical operations. Missing progress problem.

0.1 + 0.2 = 0.30000000000000004; 0.1 + 0.2 == 0.3; // false // 浮点运算判断相等 var ACCURACY = 1e-5; //定义精度精确到0.00001 var a = 0.1; var b = 0.2; var sum = 0.3; // 判断相差小于精度就认为相等 if (a + b - sum < ACCURACY) { console.log('a+b == sum'); }

In specific implementations, integer values are usually treated as 32-bit integer variables. In individual implementations (such as some browsers), they are also stored in the form of 32-bit integer variables until it is Used to perform certain operations that are not supported by 32-bit integers. This is to facilitate bit operations.

You can omit 0 to represent decimals, or you can use exponential form to represent numbers

.9; // 0.9 1E3 // 1000 2e6 // 2000000 0.1e2 // 10 1e-5 // 0.00001

Number numbers in different bases

Representation methods of different bases

Number can use four numeric bases: decimal, binary, octal and hexadecimal. Only use integers for non-decimal numbers.

• Binary representation: starting with zero, followed by a lowercase or uppercase Latin letter B (0b or 0B)

• Octal notation: starting with 0. If the number after 0 is not in the range 0 to 7, the number will be converted to a decimal number.

• The use of octal syntax is prohibited in ECMAScript 5 strict mode and will be treated as decimal

• When using octal numbers in ECMAScript 6, you need to give A number is prefixed with "0o"

• Hexadecimal notation: starting with zero, followed by a lowercase or uppercase Latin letter X (0x or 0X)

// 十进制 12345678 42 0777 // 在非严格格式下会被当做八进制处理 (用十进制表示就是511) // 二进制 var a = 0b100000; // 32 var b = 0b0111111; // 63 var c = 0B0000111; // 7 // 八进制 var n = 0755; // 493 var m = 0644; // 420 var a = 0o10; // ES6 :八进制 // 十六进制 0xFFFFFFFFFFFFFFFFF // 295147905179352830000 0x123456789ABCDEF // 81985529216486900 0XA // 10

Conversion of different bases

Conversion of bases mainly uses the toString() method or parseInt() method of Number:

• toString() method accepts an integer parameter with a value between 2 and 36 to specify the base. The default is decimal. Convert Number to String

• parseInt() second The parameter accepts an integer parameter with a value between 2 and 36. The parameter specifies the base system. The default is decimal. Convert the String to Number

// toString转换，输入为Number，返回为String var n = 120; n.toString(); // "120" n.toString(2); // "1111000" n.toString(8); // "170" n.toString(16); // "78" n.toString(20); // "60" 0x11.toString(); // "17" 0b111.toString(); // "7" 0x11.toString(12);// "15" // parseInt转换，输入为String，返回为Number parseInt('110'); // 110 parseInt('110', 2); // 6 parseInt('110', 8); // 72 parseInt('110', 16); // 272 parseInt('110', 26); // 702 // toString和parseInt结合使用可以在两两进制之间转换 // 将 a 从36进制转为12进制 var a = 'ra'; // 36进制表示的数 parseInt(a, 36).toString(12); // "960"

Number objectNumber

Number object It is a built-in number object that encapsulates a series of Number-related constants and methods.

var na = Number(8); // 8 na = Number('9.5'); // 9.5 na = new Number('9.3'); // Number 对象，仅可以使用原型方法

Number object properties:

Number对象方法

Number对象方法可以使用 Number. 的形式调用，也可以使用全局调用。

parseInt() 方法需要注意：

• parseInt() 参数可以有两个参数：数字字符串和进制

• 如果第一个参数为非指定进制的数字字符串，则结果为0

• 如果第一个参数为非字符串，会首先调用该参数的toString()方法转换为字符串

• 第一个参数中非指定进制可识别的字符会被忽略

• 如果给定的字符串不存在数值形式，函数会返回一个特殊的值 NaN

• 如果调用时没有提供第二个参数，则使用字符串表示的数字的进制

parseInt('123'); // 123 parseInt('123', 10); // 123 parseInt('123', 8); // 83 parseInt('123', 16); // 291 parseInt("11", 2); // 3 parseInt('0x123', 10); // 0 parseInt('0x123', 16); // 291 parseInt('0x123'); // 291 // 如果第一个参数不是字符串，会先把第一个参数转成字符串 parseInt('12', 16); // 18 parseInt(12, 16); // 18 // toString方法会将数字转换为10进制的字符串 parseInt(0xf, 16); // 21 0xf.toString(); // '15' parseInt('15', 16); // 21 parseInt('23.56'); // 23 parseInt("hello", 16); // NaN parseInt("aello", 16); // 174

Number类型原型方法

Number类型原型上还有一些方法来对数字进度进行取舍，这些方法可以被 Number 实例对象调用：

这些原型方法可以被Number实例对象调用：

var numObj = 12345.6789; numObj.toExponential(); // "1.23456789e+4" numObj.toExponential(2); // "1.23e+4" numObj.toExponential(4); // "1.2346e+4" numObj.toPrecision(); // "12345.6789" numObj.toPrecision(2); // "1.2e+4" numObj.toPrecision(4); // "1.235e+4" numObj.toFixed(); // 返回 "12346"：进行四舍五入，不包括小数部分 numObj.toFixed(1); // 返回 "12345.7"：进行四舍五入 numObj.toFixed(6); // 返回 "12345.678900"：用0填充 (1.23e+20).toFixed(2); // 返回 "123000000000000000000.00" (1.23e-10).toFixed(2); // 返回 "0.00" 2.34.toFixed(1); // 返回 "2.3" -2.34.toFixed(1); // 返回 -2.3 （由于操作符优先级，负数不会返回字符串） (-2.34).toFixed(1); // 返回 "-2.3" （若用括号提高优先级，则返回字符串）

数学对象（Math）

和Number相关的是，JavaScript对象中内置的Math对象，提供了很多数学常数和函数的属性和方法。

属性列表：

The trigonometric function sin and other parameters in Math are radians. If it is an angle, you can use it (Math.PI / 180)

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