![]() Patrick's answer and code is long and apparently works for 64-bit, but had a bug that a commenter found, and the commenter fixed patrick's bug, but patrick has some "magic number" in his code that he didn't comment about and has forgotten about and patrick no longer fully understands his own code / why it works.Īnnan had some incorrect and unclear terminology but mentioned a solution by But rather than do that, you can go with this solution on And one could accept sometimes having a 33bit number, or one could make sure that the number to convert is within range -(2^31)<=x<2^31-1. What is “2's Complement”?Ī solution could involve prepending a 0 for positive numbers, which I did in an earlier revision of this answer. ![]() It has the output starting with 1, which for positive numbers isn't proper 2s complement.Īnybody that doesn't understand the fact of positive numbers starting with 0 and negative numbers with 1, in 2s complement, could check this SO QnA on 2s complement. Some suggested x.toString(2) which doesn't work for negatives, it just sticks a minus sign in there for them, which is no good.įernando mentioned a simple solution of (x>0).toString(2) which is fine for negatives, but has a slight issue when x is positive. function createBinaryString (nMask) įor older browsers, polyfills exist for the following functions and values:Īs an added bonus, you can support any radix (2–36) if you perform the two's complement conversion for negative numbers in ⌈64 / log 2(radix)⌉ digits by using BigInt:Ī solution i'd go with that's fine for 32-bits, is the code the end of this answer, which is from (MDN), but with some lines added for A)formatting and B)checking that the number is in range. Here is the MDN example code for converting numbers into 32-bit strings. Importantly:īitwise operators treat their operands as a sequence of 32 bits (zeros and ones)īefore operations are applied the 64 bit floating points numbers are cast to 32 bit signed integers. MDN has a good overview of how bitwise operators work. There is no easy way to create a bit-string representation of this in javascript nor access specific bits. The internal representation of numbers is 64 bit floating point and some limitations are discussed in this answer. In this system negative numbers are written with minus signs just like in decimal. (123456).toString(2) will convert numbers to the base 2 positional numeral system. (for 64bit bitstrings see Patrick Roberts' answer) The positional number system, the binary representation in memory or 32bit bitstrings. In this case, the returned string always explicitly specifies the sign of the exponent.The binary in 'convert to binary' can refer to three main things. ![]() Scientific notation is used if the radix is 10 and the number's magnitude (ignoring sign) is greater than or equal to 10 21 or less than 10 -6. If the number is not a whole number, the decimal point. Infinity returns "Infinity" and NaN returns "NaN". This is the case even if the radix is 2 the string returned is the positive binary representation of the number value preceded by a - sign, not the two's complement of the number value.īoth 0 and -0 have "0" as their string representation. If the specified number value is negative, the sign is preserved. For example, for hexadecimal numbers (base 16) a through f are used. For Number values, the toString method returns a string representation of the value in the specified radix.įor radixes above 10, the letters of the alphabet indicate digits greater than 9. The Number object overrides the toString method of Object it does not inherit ![]() Object.prototype._lookupSetter_() Deprecated.Object.prototype._lookupGetter_() Deprecated.Object.prototype._defineGetter_() Deprecated.
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