How to manipulate bits in Javascript?












-2














Let's say I have a variable X = 4



How to create a number with a binary representation 1111 (ones with length X) using bitwise operators ( & | ~ << ^ ) and take a position and toggle the bit at that position to zero (0).



Example:



X = initial(4) // X should be : 1111
Y = solution(X, 2) // Y should be 1101
Z = solution(Y, 3) // Z should be 1001









share|improve this question




















  • 1




    You can set a given bit i to 0 with x & (~(1<<i)).
    – Willem Van Onsem
    Nov 10 at 13:37










  • ok, how to go from number 4 to 1111 ?
    – Badis Merabet
    Nov 10 at 13:38






  • 2




    @BadisMerabet: (1<<(n+1))-1.
    – Willem Van Onsem
    Nov 10 at 13:38






  • 1




    @WillemVanOnsem That's one 1 too much: console.log(((1<<(4+1))-1).toString(2)) // "11111"
    – Andreas
    Nov 10 at 13:41






  • 1




    @Andreas: argh, yes, (1<<4)-1.
    – Willem Van Onsem
    Nov 10 at 13:44
















-2














Let's say I have a variable X = 4



How to create a number with a binary representation 1111 (ones with length X) using bitwise operators ( & | ~ << ^ ) and take a position and toggle the bit at that position to zero (0).



Example:



X = initial(4) // X should be : 1111
Y = solution(X, 2) // Y should be 1101
Z = solution(Y, 3) // Z should be 1001









share|improve this question




















  • 1




    You can set a given bit i to 0 with x & (~(1<<i)).
    – Willem Van Onsem
    Nov 10 at 13:37










  • ok, how to go from number 4 to 1111 ?
    – Badis Merabet
    Nov 10 at 13:38






  • 2




    @BadisMerabet: (1<<(n+1))-1.
    – Willem Van Onsem
    Nov 10 at 13:38






  • 1




    @WillemVanOnsem That's one 1 too much: console.log(((1<<(4+1))-1).toString(2)) // "11111"
    – Andreas
    Nov 10 at 13:41






  • 1




    @Andreas: argh, yes, (1<<4)-1.
    – Willem Van Onsem
    Nov 10 at 13:44














-2












-2








-2


1





Let's say I have a variable X = 4



How to create a number with a binary representation 1111 (ones with length X) using bitwise operators ( & | ~ << ^ ) and take a position and toggle the bit at that position to zero (0).



Example:



X = initial(4) // X should be : 1111
Y = solution(X, 2) // Y should be 1101
Z = solution(Y, 3) // Z should be 1001









share|improve this question















Let's say I have a variable X = 4



How to create a number with a binary representation 1111 (ones with length X) using bitwise operators ( & | ~ << ^ ) and take a position and toggle the bit at that position to zero (0).



Example:



X = initial(4) // X should be : 1111
Y = solution(X, 2) // Y should be 1101
Z = solution(Y, 3) // Z should be 1001






javascript bit-manipulation






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Nov 10 at 13:54

























asked Nov 10 at 13:35









Badis Merabet

2,2501630




2,2501630








  • 1




    You can set a given bit i to 0 with x & (~(1<<i)).
    – Willem Van Onsem
    Nov 10 at 13:37










  • ok, how to go from number 4 to 1111 ?
    – Badis Merabet
    Nov 10 at 13:38






  • 2




    @BadisMerabet: (1<<(n+1))-1.
    – Willem Van Onsem
    Nov 10 at 13:38






  • 1




    @WillemVanOnsem That's one 1 too much: console.log(((1<<(4+1))-1).toString(2)) // "11111"
    – Andreas
    Nov 10 at 13:41






  • 1




    @Andreas: argh, yes, (1<<4)-1.
    – Willem Van Onsem
    Nov 10 at 13:44














  • 1




    You can set a given bit i to 0 with x & (~(1<<i)).
    – Willem Van Onsem
    Nov 10 at 13:37










  • ok, how to go from number 4 to 1111 ?
    – Badis Merabet
    Nov 10 at 13:38






  • 2




    @BadisMerabet: (1<<(n+1))-1.
    – Willem Van Onsem
    Nov 10 at 13:38






  • 1




    @WillemVanOnsem That's one 1 too much: console.log(((1<<(4+1))-1).toString(2)) // "11111"
    – Andreas
    Nov 10 at 13:41






  • 1




    @Andreas: argh, yes, (1<<4)-1.
    – Willem Van Onsem
    Nov 10 at 13:44








1




1




You can set a given bit i to 0 with x & (~(1<<i)).
– Willem Van Onsem
Nov 10 at 13:37




You can set a given bit i to 0 with x & (~(1<<i)).
– Willem Van Onsem
Nov 10 at 13:37












ok, how to go from number 4 to 1111 ?
– Badis Merabet
Nov 10 at 13:38




ok, how to go from number 4 to 1111 ?
– Badis Merabet
Nov 10 at 13:38




2




2




@BadisMerabet: (1<<(n+1))-1.
– Willem Van Onsem
Nov 10 at 13:38




@BadisMerabet: (1<<(n+1))-1.
– Willem Van Onsem
Nov 10 at 13:38




1




1




@WillemVanOnsem That's one 1 too much: console.log(((1<<(4+1))-1).toString(2)) // "11111"
– Andreas
Nov 10 at 13:41




@WillemVanOnsem That's one 1 too much: console.log(((1<<(4+1))-1).toString(2)) // "11111"
– Andreas
Nov 10 at 13:41




1




1




@Andreas: argh, yes, (1<<4)-1.
– Willem Van Onsem
Nov 10 at 13:44




@Andreas: argh, yes, (1<<4)-1.
– Willem Van Onsem
Nov 10 at 13:44












1 Answer
1






active

oldest

votes


















4














Yes, you'd use Math.pow (or on modern browsers, the exponentiation operator, **) and the bitwise operators to do that.






function initial(digits) {
return Math.pow(2, digits) - 1;
}
function solution(value, bit) {
return value & ~(1 << (bit - 1)); // () around `bit - 1` aren't necessary,
// but I find it clearer
}
var X = initial(4); // X should be : 1111
console.log(X.toString(2));
var Y = solution(X, 2); // Y should be 1101
console.log(Y.toString(2));
var Z = solution(Y, 3); // Z should be 1001
console.log(Z.toString(2));





Or — doh! — comments on the question point out that you can create the initial number without Math.pow or exponentiation:






function initial(digits) {
return (1 << digits) - 1;
}
function solution(value, bit) {
return value & ~(1 << (bit - 1)); // () around `bit - 1` aren't necessary,
// but I find it clearer
}
var X = initial(4); // X should be : 1111
console.log(X.toString(2));
var Y = solution(X, 2); // Y should be 1101
console.log(Y.toString(2));
var Z = solution(Y, 3); // Z should be 1001
console.log(Z.toString(2));








share|improve this answer























  • Yes, I like the second solution. more down to earth.
    – Badis Merabet
    Nov 10 at 13:49






  • 1




    @BadisMerabet - Yeah, I wasn't thinking "bits" enough, but fortunately Willem Van Onsem was.
    – T.J. Crowder
    Nov 10 at 13:51











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1 Answer
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1 Answer
1






active

oldest

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active

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active

oldest

votes









4














Yes, you'd use Math.pow (or on modern browsers, the exponentiation operator, **) and the bitwise operators to do that.






function initial(digits) {
return Math.pow(2, digits) - 1;
}
function solution(value, bit) {
return value & ~(1 << (bit - 1)); // () around `bit - 1` aren't necessary,
// but I find it clearer
}
var X = initial(4); // X should be : 1111
console.log(X.toString(2));
var Y = solution(X, 2); // Y should be 1101
console.log(Y.toString(2));
var Z = solution(Y, 3); // Z should be 1001
console.log(Z.toString(2));





Or — doh! — comments on the question point out that you can create the initial number without Math.pow or exponentiation:






function initial(digits) {
return (1 << digits) - 1;
}
function solution(value, bit) {
return value & ~(1 << (bit - 1)); // () around `bit - 1` aren't necessary,
// but I find it clearer
}
var X = initial(4); // X should be : 1111
console.log(X.toString(2));
var Y = solution(X, 2); // Y should be 1101
console.log(Y.toString(2));
var Z = solution(Y, 3); // Z should be 1001
console.log(Z.toString(2));








share|improve this answer























  • Yes, I like the second solution. more down to earth.
    – Badis Merabet
    Nov 10 at 13:49






  • 1




    @BadisMerabet - Yeah, I wasn't thinking "bits" enough, but fortunately Willem Van Onsem was.
    – T.J. Crowder
    Nov 10 at 13:51
















4














Yes, you'd use Math.pow (or on modern browsers, the exponentiation operator, **) and the bitwise operators to do that.






function initial(digits) {
return Math.pow(2, digits) - 1;
}
function solution(value, bit) {
return value & ~(1 << (bit - 1)); // () around `bit - 1` aren't necessary,
// but I find it clearer
}
var X = initial(4); // X should be : 1111
console.log(X.toString(2));
var Y = solution(X, 2); // Y should be 1101
console.log(Y.toString(2));
var Z = solution(Y, 3); // Z should be 1001
console.log(Z.toString(2));





Or — doh! — comments on the question point out that you can create the initial number without Math.pow or exponentiation:






function initial(digits) {
return (1 << digits) - 1;
}
function solution(value, bit) {
return value & ~(1 << (bit - 1)); // () around `bit - 1` aren't necessary,
// but I find it clearer
}
var X = initial(4); // X should be : 1111
console.log(X.toString(2));
var Y = solution(X, 2); // Y should be 1101
console.log(Y.toString(2));
var Z = solution(Y, 3); // Z should be 1001
console.log(Z.toString(2));








share|improve this answer























  • Yes, I like the second solution. more down to earth.
    – Badis Merabet
    Nov 10 at 13:49






  • 1




    @BadisMerabet - Yeah, I wasn't thinking "bits" enough, but fortunately Willem Van Onsem was.
    – T.J. Crowder
    Nov 10 at 13:51














4












4








4






Yes, you'd use Math.pow (or on modern browsers, the exponentiation operator, **) and the bitwise operators to do that.






function initial(digits) {
return Math.pow(2, digits) - 1;
}
function solution(value, bit) {
return value & ~(1 << (bit - 1)); // () around `bit - 1` aren't necessary,
// but I find it clearer
}
var X = initial(4); // X should be : 1111
console.log(X.toString(2));
var Y = solution(X, 2); // Y should be 1101
console.log(Y.toString(2));
var Z = solution(Y, 3); // Z should be 1001
console.log(Z.toString(2));





Or — doh! — comments on the question point out that you can create the initial number without Math.pow or exponentiation:






function initial(digits) {
return (1 << digits) - 1;
}
function solution(value, bit) {
return value & ~(1 << (bit - 1)); // () around `bit - 1` aren't necessary,
// but I find it clearer
}
var X = initial(4); // X should be : 1111
console.log(X.toString(2));
var Y = solution(X, 2); // Y should be 1101
console.log(Y.toString(2));
var Z = solution(Y, 3); // Z should be 1001
console.log(Z.toString(2));








share|improve this answer














Yes, you'd use Math.pow (or on modern browsers, the exponentiation operator, **) and the bitwise operators to do that.






function initial(digits) {
return Math.pow(2, digits) - 1;
}
function solution(value, bit) {
return value & ~(1 << (bit - 1)); // () around `bit - 1` aren't necessary,
// but I find it clearer
}
var X = initial(4); // X should be : 1111
console.log(X.toString(2));
var Y = solution(X, 2); // Y should be 1101
console.log(Y.toString(2));
var Z = solution(Y, 3); // Z should be 1001
console.log(Z.toString(2));





Or — doh! — comments on the question point out that you can create the initial number without Math.pow or exponentiation:






function initial(digits) {
return (1 << digits) - 1;
}
function solution(value, bit) {
return value & ~(1 << (bit - 1)); // () around `bit - 1` aren't necessary,
// but I find it clearer
}
var X = initial(4); // X should be : 1111
console.log(X.toString(2));
var Y = solution(X, 2); // Y should be 1101
console.log(Y.toString(2));
var Z = solution(Y, 3); // Z should be 1001
console.log(Z.toString(2));








function initial(digits) {
return Math.pow(2, digits) - 1;
}
function solution(value, bit) {
return value & ~(1 << (bit - 1)); // () around `bit - 1` aren't necessary,
// but I find it clearer
}
var X = initial(4); // X should be : 1111
console.log(X.toString(2));
var Y = solution(X, 2); // Y should be 1101
console.log(Y.toString(2));
var Z = solution(Y, 3); // Z should be 1001
console.log(Z.toString(2));





function initial(digits) {
return Math.pow(2, digits) - 1;
}
function solution(value, bit) {
return value & ~(1 << (bit - 1)); // () around `bit - 1` aren't necessary,
// but I find it clearer
}
var X = initial(4); // X should be : 1111
console.log(X.toString(2));
var Y = solution(X, 2); // Y should be 1101
console.log(Y.toString(2));
var Z = solution(Y, 3); // Z should be 1001
console.log(Z.toString(2));





function initial(digits) {
return (1 << digits) - 1;
}
function solution(value, bit) {
return value & ~(1 << (bit - 1)); // () around `bit - 1` aren't necessary,
// but I find it clearer
}
var X = initial(4); // X should be : 1111
console.log(X.toString(2));
var Y = solution(X, 2); // Y should be 1101
console.log(Y.toString(2));
var Z = solution(Y, 3); // Z should be 1001
console.log(Z.toString(2));





function initial(digits) {
return (1 << digits) - 1;
}
function solution(value, bit) {
return value & ~(1 << (bit - 1)); // () around `bit - 1` aren't necessary,
// but I find it clearer
}
var X = initial(4); // X should be : 1111
console.log(X.toString(2));
var Y = solution(X, 2); // Y should be 1101
console.log(Y.toString(2));
var Z = solution(Y, 3); // Z should be 1001
console.log(Z.toString(2));






share|improve this answer














share|improve this answer



share|improve this answer








edited Nov 10 at 13:49

























answered Nov 10 at 13:41









T.J. Crowder

676k12011961292




676k12011961292












  • Yes, I like the second solution. more down to earth.
    – Badis Merabet
    Nov 10 at 13:49






  • 1




    @BadisMerabet - Yeah, I wasn't thinking "bits" enough, but fortunately Willem Van Onsem was.
    – T.J. Crowder
    Nov 10 at 13:51


















  • Yes, I like the second solution. more down to earth.
    – Badis Merabet
    Nov 10 at 13:49






  • 1




    @BadisMerabet - Yeah, I wasn't thinking "bits" enough, but fortunately Willem Van Onsem was.
    – T.J. Crowder
    Nov 10 at 13:51
















Yes, I like the second solution. more down to earth.
– Badis Merabet
Nov 10 at 13:49




Yes, I like the second solution. more down to earth.
– Badis Merabet
Nov 10 at 13:49




1




1




@BadisMerabet - Yeah, I wasn't thinking "bits" enough, but fortunately Willem Van Onsem was.
– T.J. Crowder
Nov 10 at 13:51




@BadisMerabet - Yeah, I wasn't thinking "bits" enough, but fortunately Willem Van Onsem was.
– T.J. Crowder
Nov 10 at 13:51


















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