Convert Gray Code to Binary and vice versa

Question

I wrote this function but can't find out what's wrong can someone help me please. It gives the output as 513. I have added the function for both binary and gray please help Me! Thanks :)

function xor_c (a,b){
    return (a==b)?'0':'1';
}

function flip(c){
    return (c=='0') ? '1':'0';
}

function BinaryToGray(binary){
let gray='';
gray+=binary[0];
for(let i=1;i<binary.length;i++){
    gray+=xor_c(binary[i-1],binary[i]);
}
return binary;
}

function GrayToBinary(gray){
let binary='';
binary+=gray[0];
for(let i=1;i<gray.length;i++){
    if(gray[i]=='0')
        binary+=binary[i-1];
    else
        binary+=flip(binary[i-1]);
}
return binary;
}

let binary=(01001).toString();
console.log(BinaryToGray(01001));

Answer 1

function xor_c (a,b){
    return (a==b)?'0':'1';
}

function flip(c){
    return (c=='0') ? '1':'0';
}

function BinaryToGray(binary){
binary = binary.split('');
let gray='';
gray += binary[0];
for(let i=1;i<binary.length;i++){
    gray+=xor_c(binary[i-1],binary[i]);
}
return gray;
}

function GrayToBinary(gray){
let binary='';
binary+=gray[0];
for(let i=1;i<gray.length;i++){
    if(gray[i]=='0')
        binary+=binary[i-1];
    else
        binary+=flip(binary[i-1]);
}
return binary;
}

let binary='0101001';
console.log(BinaryToGray(binary));