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# bits()

Description:

Convert a number represented by a certain numeral system to a decimal number.

Syntax:

bits(xi,…)

Note:

The function converts a number of a certain numeral system to a decimal integer according to a specific rule. Parameter xi represents the value in the ith position of the number counted from right to left. When no option is present the function converts a binary number to a decimal number.

If there is only a single xi and it is a string, split it into a sequence of single characters first, and then perform the conversion.

First convert xi to an integer according to the rules of a certain numeral system if it is a string.

Parameter:

 xi An integer/string

Option:

 @h Convert xi to integer decimal number according to the rules of hexadecimal numeral system if it is the string @d First convert xi to an integer if it is the string and then calculate according to the rules of decimal numeral system @n Convert to 0 if parameter xi is false and to 1 if the parameter is true, and then convert them to a decimal number according to the rules of binary system @s Won’t convert to a decimal number and should work with another option to return the string forming the number of the corresponding numeral system @b Enable returning a long integer @r Enable putting lower bits before higher bits

Return value:

Numeric value/string

Example:

 A 1 [1,0,1,1] 2 =bits(A1) 11; convert binary number 1011 to a decimal number 3 =bits("1011") 11; split the single string into a sequence. It is equal to  =bits("1","0","1","1") 4 =bits@d(1,1,1,5) 1115; convert 1115 to a decimal number 5 =bits@n(true,false,true) 5; convert binary number 101 to a decimal number 6 =bits@n(1,1,0,1) 13; convert binary number 1101 to a decimal number 7 =bits@h("A",1,1,5) 41237; convert hexadecimal number A115 to a decimal number 8 =bits@r(0XBB0D8196) 3138224534; the low-order b its go first 9 =bits@sd(12) 12; return a decimal number 10 =bits@sh(1212) 4bc; return a hexadecimal number 11 =bits@b(67546523567) Return result as a long integer

## A.bits()

Description:

Convert a sequence of bit values to a sequence of long numeric values.

Syntax:

A.bits()

Note:

The function converts a sequence of binary bits A to a sequence of long numeric values, during which every 64 members is transformed to one long numeric member.

Parameter:

 A A sequence of binary bits, where higher bits go ahead

Option:

 @m Enable parallel processing @n When A consists of boolean members, convert to 1 for true and to 0 for false

Return value:

A sequence of long numeric values

Example:

 A 1 =192.(rand(2)) Randomly generate a sequence of binary bits 2 =A1.bits() Convert A1 to a sequence of long numeric values. For instance: 3 =[1,0,1,1].bits() Return [-5764607523034234880]

## A.bits(n)

Description:

Judge whether a specified bit member of a sequence of long numeric values is 1.

Syntax:

A.bits(n)

Note:

The function gets the nth bit member from a sequence of long numeric values A and judges whether it is 1.

Parameter:

 A A sequence of long numeric values n An integer representing the nth bit

Return value:

Boolean

Example:

 A 1 =192.(rand(2)) Randomly generate a sequence of binary bits 2 =A1.bits() Convert A1 to a sequence of long numeric values. For instance: 3 =A2.bits(61) Judge whether the 61th bit member of A3’s sequence is 1 and return true