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script.js
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script.js
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var calculate = document.getElementById("calculate")
var multiplicand = document.getElementById("multiplicand")
var multiplier = document.getElementById("multiplier")
var download = document.getElementById("Download")
var PnP = document.getElementById("P&P Solution");
var booth = document.getElementById("Booth Solution");
var eBooth = document.getElementById("Extend Solution");
var dData = ""
calculate.onclick = function(){
dData = ""
// validation for empty input
if(multiplicand.value == ''){
window.alert("Missing Value for Multiplicand")
return false
}
if(multiplier.value == ''){
window.alert("Missing Value for Multiplier")
return false
}
// number validation for binary
if(document.getElementById('binaryToggle').checked){
var num1 = multiplicand.value
var num2 = multiplier.value
while (num1) {
if (num1 % 10 > 2 || num1 % 10 < 0){
window.alert("Invalid Value for Multiplicand")
return false
}
num1 = Math.floor(num1 / 10);
}
while (num2) {
if (num1 % 10 > 2 || num1 % 10 < 0){
window.alert("Invalid Value for Multiplier")
return false
}
num2 = Math.floor(num2 / 10);
}
// compute(num1, num2)
}
// validation for 16 bits
var num1 = parseInt(multiplicand.value).toString(2)
var num2 = parseInt(multiplier.value).toString(2)
var ctr = 0;
PnP.innerHTML = "";
booth.innerHTML = "";
eBooth.innerHTML = "";
if (num1.length > 16){
window.alert("Exceed number of bits for Multiplicand")
return false
}
if (num2.length > 16){
window.alert("Exceed number of bits for Multiplier")
return false
}
var num1 = parseInt(multiplicand.value)
var num2 = parseInt(multiplier.value)
if (document.getElementById('decimalToggle').checked) {
console.log(num1 + ' ' + num2)
if (num1 > 0) {
num1 = num1.toString(2)
num1 = "0" + num1
}
else {
num1 = num1.toString(2)
num1 = num1.substring(1)
num1 = get_twos_comp(num1)
// console.log(num1)
num1 = "1" + num1
}
if (num2 > 0) {
num2 = num2.toString(2)
num2 = "0" + num2
}
else {
num2 = num2.toString(2)
num2 = num2.substring(1)
num2 = get_twos_comp(num2)
// console.log(num2)
num2 = "1" + num2
}
compute(num1, num2)
}
else {
num1 = multiplicand.value
num2 = multiplier.value
compute(num1, num2)}
}
download.onclick = function() {
var filename = "output.txt"
var element = document.createElement('a');
element.setAttribute('href','data:text/plain;charset=utf-8, ' + encodeURIComponent(dData));
element.setAttribute('download', filename);
document.body.appendChild(element);
element.click();
}
async function compute(m, n){
if(document.getElementById('stepToggle').checked){
var delay = 1500;
}
else{
var delay = 0;
}
var Pnpans = ""
dData += "Pen & Paper: \n"
// length of num
m_length = m.length
n_length = n.length
var bigger_length;
if (m_length > n_length) {
bigger_length = m_length;
while (n.length !== m_length) {
n = n[0] + n;
}
}
else {
bigger_length = n_length;
while (m.length !== n_length) {
m = m[0] + m;
}
}
for (let i = bigger_length; i > 0; i--) {
if (n[i-1] === '0') {
temp = multiChar("0", i + bigger_length);
Pnpans += temp
// console.log(Pnpans);
dData += temp + "\n"
Pnpans += "<br/>"
PnP.innerHTML = Pnpans;
await sleep(delay);
}
else {
temp = multiString(m[0], i, m);
Pnpans += temp
dData += temp + "\n"
// console.log(Pnpans);
Pnpans += "<br/>"
PnP.innerHTML = Pnpans;
await sleep(delay)
}
}
let m_neg = false;
let n_neg = false;
if (m[0] === "1") m_neg = true;
if (n[0] === "1") n_neg = true;
let save_m = m
let same_n = n
if (m_neg) m = get_twos_comp(m);
if (n_neg) n = get_twos_comp(n);
if (n_neg)
{
Pnpans += get_twos_comp(save_m)
dData += get_twos_comp(save_m)
Pnpans += "<br/>"
PnP.innerHTML = Pnpans;
await sleep(delay)
}
// get result first
result = parseInt(m, 2) * parseInt(n, 2);
// convert to binary as string
binaryMul = result.toString(2);
Pnpans += "------------------------------------------------------ <br/>"
Pnpans += "Product = "
dData += "------------------------------------------------------ \n"
dData += "Product = "
// leading zeroes raw
if (m_neg !== n_neg) {
binaryMul = get_twos_comp(binaryMul);
while (binaryMul.length !== (2 * bigger_length)) {
binaryMul = "1" + binaryMul;
}
// console.log(binaryMul);
Pnpans += binaryMul
dData += binaryMul + "\n"
await sleep(delay)
// console.log(Pnpans);
Pnpans += "<br/>"
}
else if (m_neg === n_neg) {
while (binaryMul.length != (2 * bigger_length)) {
binaryMul = "0" + binaryMul;
}
Pnpans += binaryMul
dData += binaryMul + "\n"
await sleep(delay)
// console.log(Pnpans);
Pnpans += "<br/>"
}
PnP.innerHTML = Pnpans;
dData += "\n\n\n"
var booth = document.getElementById("Booth Solution");
m = save_m
n = same_n
dData += "BOOTHS ALGORITHM: \n"
var bAns = ""
bAns += "Multiplicand: "
bAns += m
dData += bAns + "\n"
bAns += "<br/>"
let extended_n = n + "0"
bAns += "Extended Multiplier: "
bAns += extended_n
dData += "Extended Multiplier: " + extended_n
bAns += "<br/>"
booth.innerHTML = bAns
await sleep(delay)
bAns += "------------------------------------------------------ <br/>"
bAns += "BOOTHS EQUIVALENT: <br/>"
dData += "\n------------------------------------------------------\n"
dData += "BOOTHS EQUIVALENT: \n"
temp = m[0].repeat(bigger_length)
bAns += temp
bAns += m;
bAns += "<br/>"
dData += temp
dData += m
dData += "\n"
booth.innerHTML = bAns
await sleep(delay)
let multiplier_list = []
for (let i = 0; i < bigger_length; i++) {
if (extended_n[i]+extended_n[i+1] === "00") multiplier_list.push("0");
else if (extended_n[i]+extended_n[i+1] === "01") multiplier_list.push("1");
else if (extended_n[i]+extended_n[i+1] === "10") multiplier_list.push("-1");
else if (extended_n[i]+extended_n[i+1] === "11") multiplier_list.push("0");
}
for (let i = 0; i < multiplier_list.length; i++) {
// process.stdout.write("(" + multiplier_list[i] + ")")
bAns += "("
bAns += multiplier_list[i]
bAns += ")";
dData += "(" + multiplier_list[i] + ")"
}
booth.innerHTML = bAns
await sleep(delay)
bAns += "<br/>"
bAns += "------------------------------------------------------ <br/>"
bAns += "INTERMEDIATE STEPS:<br/>"
dData += "\n------------------------------------------------------ \n"
dData += "INTERMEDIATE STEPS:\n"
await sleep(delay)
for (let i = multiplier_list.length; i > 0; i--) {
if (multiplier_list[i-1] === "0") {
// console.log(multiString("0", i+bigger_length));
temp = multiChar("0", i+bigger_length)
bAns += temp
bAns += "<br/>"
dData += temp + "\n"
booth.innerHTML = bAns
await sleep(delay)
}
else if (multiplier_list[i-1] === "1") {
// process.stdout.write(m[0].repeat(i));
// console.log(m);
temp = m[0].repeat(i)
bAns += temp
bAns += m;
bAns += "<br/>";
dData += temp
dData += m
dData += "\n"
booth.innerHTML = bAns
await sleep(delay)
}
else if (multiplier_list[i-1] === "-1") {
let twos_m = get_twos_comp(m);
// process.stdout.write(twos_m[0].repeat(i));
// console.log(twos_m)
temp = twos_m[0].repeat(i);
bAns += temp
bAns += twos_m
bAns += "<br/>";
dData += temp
dData += twos_m
dData += "\n"
booth.innerHTML = bAns
await sleep(delay)
}
}
bAns += "------------------------------------------------------ <br/>"
bAns += "PRODUCT = "
dData += "------------------------------------------------------ \n"
dData += "PRODUCT = "
m_neg = false
n_neg = false
if (m[0] === "1") m_neg = true
if (n[0] === "1") n_neg = true
if (m_neg) m = get_twos_comp(m)
if (n_neg) n = get_twos_comp(n)
result = parseInt(m, 2) * parseInt(n, 2)
binaryMul = result.toString(2)
if (m_neg !== n_neg) {
binaryMul = get_twos_comp(binaryMul);
while (binaryMul.length !== (2 * bigger_length)) {
binaryMul = "1" + binaryMul;
}
// console.log(binaryMul);
bAns += binaryMul
dData += binaryMul + "\n"
bAns += "<br/>"
}
else if (m_neg === n_neg) {
while (binaryMul.length != (2 * bigger_length)) {
binaryMul = "0" + binaryMul;
}
// console.log(binaryMul);
bAns += binaryMul
dData += binaryMul + "\n"
bAns += "<br/>"
}
booth.innerHTML = bAns
dData += "\n\n\n\n"
// -----------------------------------------------------------------------------------------------
// start of extended booths
var ebooth = document.getElementById("Extend Solution");
var ebAns = ""
m = save_m
n = same_n
dData += "Extended Booth's ALGORITHM: \n"
ebAns += "Multiplicand: "
ebAns += m
ebAns += "<br/>"
dData += "Multiplicand: " + m + "\n"
extended_n = n + "0"
ebAns += "Extended Multiplier: "
ebAns += extended_n
ebAns += "<br/>"
dData += "Extended Multiplier: " + extended_n + "\n"
ebooth.innerHTML = ebAns
await sleep(delay)
ebAns += "------------------------------------------------------ <br/>"
ebAns += "BOOTHS EQUIVALENT: <br/>"
dData += "------------------------------------------------------\n"
dData += "BOOTHS EQUIVALENT: \n"
console.log(temp)
temp = m[0].repeat(bigger_length)
ebAns += temp
ebAns += m;
ebAns += "<br/>"
dData += temp + m + "\n"
multiplier_list = []
ebooth.innerHTML = ebAns
await sleep(delay)
for (let i = 0; i < bigger_length; i += 2) {
if (extended_n[i]+extended_n[i+1]+extended_n[i+2] === "000") multiplier_list.push("0")
else if (extended_n[i]+extended_n[i+1]+extended_n[i+2] === "001") multiplier_list.push("1")
else if (extended_n[i]+extended_n[i+1]+extended_n[i+2] === "010") multiplier_list.push("1")
else if (extended_n[i]+extended_n[i+1]+extended_n[i+2] === "011") multiplier_list.push("2")
else if (extended_n[i]+extended_n[i+1]+extended_n[i+2] === "100") multiplier_list.push("-2")
else if (extended_n[i]+extended_n[i+1]+extended_n[i+2] === "101") multiplier_list.push("-1")
else if (extended_n[i]+extended_n[i+1]+extended_n[i+2] === "110") multiplier_list.push("-1")
else if (extended_n[i]+extended_n[i+1]+extended_n[i+2] === "111") multiplier_list.push("0")
}
for (let i = 0; i < multiplier_list.length; i++) {
// process.stdout.write("(" + multiplier_list[i] + ")")
ebAns += "("
ebAns += multiplier_list[i]
ebAns += ")";
dData += "(" + multiplier_list[i] + ")"
}
ebooth.innerHTML = ebAns
await sleep(delay*2)
ebAns += "<br/>"
ebAns += "------------------------------------------------------ <br/>"
ebAns += "INTERMEDIATE STEPS:<br/>"
dData += "\n------------------------------------------------------\n"
dData += "INTERMEDIATE STEPS: \n"
let current_max_length = bigger_length * 2
await sleep(delay*3)
for (let i = multiplier_list.length; i > 0; i--) {
// if curr is 0
if (multiplier_list[i-1] === "0") {
// console.log(multiString("0", current_max_length))
temp = multiChar("0", current_max_length)
ebAns += temp
ebAns += "<br/>"
dData += temp + "\n"
ebooth.innerHTML = ebAns
await sleep(delay)
}
// if curr is 1
else if (multiplier_list[i-1] === "1") {
let fullstring = m
while (fullstring.length !== current_max_length) {
fullstring = fullstring[0] + fullstring
}
// console.log(fullstring)
ebAns += fullstring
ebAns += "<br/>"
dData += fullstring + "\n"
ebooth.innerHTML = ebAns
await sleep(delay)
}
// if curr is -1
else if (multiplier_list[i-1] === "-1") {
let fullstring = get_twos_comp(m)
while (fullstring.length !== current_max_length) {
fullstring = fullstring[0] + fullstring
}
// console.log(fullstring)
ebAns += fullstring
ebAns += "<br/>"
dData += fullstring + "\n"
ebooth.innerHTML = ebAns
await sleep(delay)
}
// if curr is 2
else if (multiplier_list[i-1] === "2") {
let fullstring = m + "0"
while (fullstring.length !== current_max_length) {
fullstring = fullstring[0] + fullstring
}
// console.log(fullstring)
ebAns += fullstring
ebAns += "<br/>"
dData += fullstring + "\n"
ebooth.innerHTML = ebAns
await sleep(delay)
}
// if curr is -2
else if (multiplier_list[i-1] === "-2") {
let fullstring = get_twos_comp(m) + "0"
while (fullstring.length !== current_max_length) {
fullstring = fullstring[0] + fullstring
}
// console.log(fullstring)
ebAns += fullstring
ebAns += "<br/>"
dData += fullstring + "\n"
ebooth.innerHTML = ebAns
await sleep(delay)
}
current_max_length -= 2
}
ebAns += "------------------------------------------------------ <br/>"
ebAns += "PRODUCT = "
dData += "------------------------------------------------------ \n"
dData += "PRODUCT = "
m_neg = false
n_neg = false
if (m[0] === "1") m_neg = true
if (n[0] === "1") n_neg = true
if (m_neg) m = get_twos_comp(m)
if (n_neg) n = get_twos_comp(n)
result = parseInt(m, 2) * parseInt(n, 2)
binaryMul = result.toString(2)
if (m_neg !== n_neg) {
binaryMul = get_twos_comp(binaryMul);
while (binaryMul.length !== (2 * bigger_length)) {
binaryMul = "1" + binaryMul;
}
// console.log(binaryMul);
ebAns += binaryMul
ebAns += "<br/>"
dData += binaryMul + "\n"
ebooth.innerHTML = ebAns
await sleep(delay)
}
else if (m_neg === n_neg) {
while (binaryMul.length != (2 * bigger_length)) {
binaryMul = "0" + binaryMul;
}
// console.log(binaryMul);
ebAns += binaryMul
ebAns += "<br/>"
dData += binaryMul + "\n"
ebooth.innerHTML = ebAns
await sleep(delay)
}
ebooth.innerHTML = ebAns
}
function reverseString(str) {
return (str === '') ? '' : reverseString(str.substr(1)) + str.charAt(0);
}
function multiChar(x, y) {
let z = x.repeat(y);
// console.log(z);
return z
}
function multiString(str, num, x) {
// console.log(str);
// console.log(x)
let z = str.repeat(num)
z = z + x
// console.log(z)
return z
}
function get_twos_comp (x) {
let found_one = false;
let final_str = "";
for (let i = x.length; i > 0; i--) {
if (found_one == true) {
if (x[i-1] == "0") {
final_str += "1"
}
else if (x[i-1] == "1") {
final_str += "0"
}
}
else {
if ((x[i-1] == "1") && (found_one == false)) {
found_one = true;
final_str += x[i-1];
}
else {
final_str += x[i-1]
}
}
}
final_str = reverseString(final_str);
return final_str;
}
function sleep(ms) {
return new Promise(resolve => setTimeout(resolve, ms));
}