Skip to content

Commit ad714ce

Browse files
sijanonlysijanonly
committed
Implements decimal to binary conversion using stack
1 parent 0c886a0 commit ad714ce

File tree

2 files changed

+373
-14
lines changed

2 files changed

+373
-14
lines changed

‎data structure and algorithm/.ipynb_checkpoints/Stack Implementation-checkpoint.ipynb‎

Lines changed: 232 additions & 11 deletions
Original file line numberDiff line numberDiff line change
@@ -9,7 +9,7 @@
99
},
1010
{
1111
"cell_type": "code",
12-
"execution_count": 31,
12+
"execution_count": 1,
1313
"metadata": {
1414
"collapsed": true
1515
},
@@ -305,13 +305,15 @@
305305
"collapsed": true
306306
},
307307
"source": [
308-
"#### 2. Check Balanced parentheses of a mathematical expression (checking only for parentheses)"
308+
"#### 2. Check Balanced parentheses of a mathematical expression (checking only for small parentheses)"
309309
]
310310
},
311311
{
312312
"cell_type": "code",
313-
"execution_count": 34,
314-
"metadata": {},
313+
"execution_count": 37,
314+
"metadata": {
315+
"collapsed": true
316+
},
315317
"outputs": [],
316318
"source": [
317319
"def checkBalancedSmallBraces(expression):\n",
@@ -345,7 +347,7 @@
345347
},
346348
{
347349
"cell_type": "code",
348-
"execution_count": 35,
350+
"execution_count": 38,
349351
"metadata": {},
350352
"outputs": [
351353
{
@@ -354,18 +356,18 @@
354356
"True"
355357
]
356358
},
357-
"execution_count": 35,
359+
"execution_count": 38,
358360
"metadata": {},
359361
"output_type": "execute_result"
360362
}
361363
],
362364
"source": [
363-
"checkBalancedParentheses('()')"
365+
"checkBalancedSmallBraces('()')"
364366
]
365367
},
366368
{
367369
"cell_type": "code",
368-
"execution_count": 36,
370+
"execution_count": 39,
369371
"metadata": {},
370372
"outputs": [
371373
{
@@ -374,13 +376,13 @@
374376
"False"
375377
]
376378
},
377-
"execution_count": 36,
379+
"execution_count": 39,
378380
"metadata": {},
379381
"output_type": "execute_result"
380382
}
381383
],
382384
"source": [
383-
"checkBalancedParentheses('(((())))))')"
385+
"checkBalancedSmallBraces('(((())))))')"
384386
]
385387
},
386388
{
@@ -390,6 +392,225 @@
390392
"#### 3. Check Balanced parentheses of a mathematical expression (checking for all symbols '({[' "
391393
]
392394
},
395+
{
396+
"cell_type": "code",
397+
"execution_count": 47,
398+
"metadata": {
399+
"collapsed": true
400+
},
401+
"outputs": [],
402+
"source": [
403+
"\n",
404+
"\n",
405+
"def matchSymbol(open_sym, close_sym):\n",
406+
" \"\"\"Check if the open symbol and close symbol are of same kind.\n",
407+
"\n",
408+
" Args:\n",
409+
" open_sym (string): Opening mathematical expression\n",
410+
" close_sym (string): Closing mathematical expression\n",
411+
"\n",
412+
" Returns:\n",
413+
" bool: If the open_sym and close_sym are similar kind,\n",
414+
" it will return True otherwise False.\n",
415+
" \"\"\"\n",
416+
" open_expression = '({['\n",
417+
" close_expression = ']})'\n",
418+
" return open_expression.index(open_sym) == close_expression.index(close_sym)\n",
419+
"\n",
420+
"\n",
421+
"def checkBalancedSymbols(expression):\n",
422+
" \"\"\"Check if the given expression is balanced mathematical expression or not.\n",
423+
"\n",
424+
" Args:\n",
425+
" expression (string): Expression to be checked.\n",
426+
"\n",
427+
" Returns:\n",
428+
" bool: If the given mathematical expression is balanced,\n",
429+
" it will return True otherwise False.\n",
430+
" \"\"\"\n",
431+
" i = 0\n",
432+
" balanced = True\n",
433+
" stack_symbol = Stack()\n",
434+
" for elm in expression:\n",
435+
" if elm in '({[':\n",
436+
" stack_symbol.push(elm)\n",
437+
" else:\n",
438+
" if stack_symbol.isEmpty():\n",
439+
" balanced = False\n",
440+
" else:\n",
441+
" open_symbol = stack_symbol.pop()\n",
442+
" close_symbol = elm\n",
443+
" if matchSymbol(open_symbol, close_symbol):\n",
444+
" balanced = True\n",
445+
" if stack_symbol.isEmpty() and balanced:\n",
446+
" return True\n",
447+
" else:\n",
448+
" return False\n"
449+
]
450+
},
451+
{
452+
"cell_type": "code",
453+
"execution_count": 48,
454+
"metadata": {},
455+
"outputs": [
456+
{
457+
"data": {
458+
"text/plain": [
459+
"True"
460+
]
461+
},
462+
"execution_count": 48,
463+
"metadata": {},
464+
"output_type": "execute_result"
465+
}
466+
],
467+
"source": [
468+
"checkBalancedSymbols('({{[]}})')"
469+
]
470+
},
471+
{
472+
"cell_type": "code",
473+
"execution_count": 49,
474+
"metadata": {},
475+
"outputs": [
476+
{
477+
"data": {
478+
"text/plain": [
479+
"False"
480+
]
481+
},
482+
"execution_count": 49,
483+
"metadata": {},
484+
"output_type": "execute_result"
485+
}
486+
],
487+
"source": [
488+
"checkBalancedSymbols('[{]')"
489+
]
490+
},
491+
{
492+
"cell_type": "markdown",
493+
"metadata": {
494+
"collapsed": true
495+
},
496+
"source": [
497+
"#### 4. Convert Decimal to binary numbers"
498+
]
499+
},
500+
{
501+
"cell_type": "code",
502+
"execution_count": 4,
503+
"metadata": {
504+
"collapsed": true
505+
},
506+
"outputs": [],
507+
"source": [
508+
"def decimalToBinary(decimal_number):\n",
509+
" \"\"\"Convert given decimal number to binary number.\n",
510+
"\n",
511+
" Here, we use remainder operator to store the rem. to our stack.\n",
512+
" And, at the same time the given decimal number is being\n",
513+
" reduced to half since '2' act as a base value for\n",
514+
" binary conversion.\n",
515+
" '//' is being used to performs integer division.\n",
516+
"\n",
517+
" Args:\n",
518+
" decimal_number (int): Decimal number to be converted to binary\n",
519+
"\n",
520+
" Returns:\n",
521+
" str: Binary representation of given decimal number.\n",
522+
" \"\"\"\n",
523+
" binary_string = \"\"\n",
524+
" stack_bin = Stack()\n",
525+
" while decimal_number:\n",
526+
" remainder = decimal_number % 2\n",
527+
" stack_bin.push(remainder)\n",
528+
" decimal_number = decimal_number // 2\n",
529+
" while not stack_bin.isEmpty():\n",
530+
" binary_string += str(stack_bin.pop())\n",
531+
" return binary_string\n"
532+
]
533+
},
534+
{
535+
"cell_type": "code",
536+
"execution_count": 5,
537+
"metadata": {},
538+
"outputs": [
539+
{
540+
"data": {
541+
"text/plain": [
542+
"'100'"
543+
]
544+
},
545+
"execution_count": 5,
546+
"metadata": {},
547+
"output_type": "execute_result"
548+
}
549+
],
550+
"source": [
551+
"decimalToBinary(4)"
552+
]
553+
},
554+
{
555+
"cell_type": "code",
556+
"execution_count": 6,
557+
"metadata": {},
558+
"outputs": [
559+
{
560+
"data": {
561+
"text/plain": [
562+
"'1101111'"
563+
]
564+
},
565+
"execution_count": 6,
566+
"metadata": {},
567+
"output_type": "execute_result"
568+
}
569+
],
570+
"source": [
571+
"decimalToBinary(111)"
572+
]
573+
},
574+
{
575+
"cell_type": "code",
576+
"execution_count": 12,
577+
"metadata": {},
578+
"outputs": [
579+
{
580+
"ename": "SyntaxError",
581+
"evalue": "invalid syntax (<ipython-input-12-d89f2bb3b4bb>, line 14)",
582+
"output_type": "error",
583+
"traceback": [
584+
"\u001b[0;36m File \u001b[0;32m\"<ipython-input-12-d89f2bb3b4bb>\"\u001b[0;36m, line \u001b[0;32m14\u001b[0m\n\u001b[0;31m for i random.sample(range(min_value, max_value),k=incr):\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n"
585+
]
586+
}
587+
],
588+
"source": [
589+
"%matplotlib inline\n",
590+
"from matplotlib import pyplot\n",
591+
"\n",
592+
"import random\n",
593+
"import timeit\n",
594+
"from functools import partial\n",
595+
"def plot_time_complexity(fn, min_value, max_value, incr, no_of_tests):\n",
596+
" \"\"\"\n",
597+
" Plotting time complexity based on given function.\n",
598+
" \"\"\"\n",
599+
" x = []\n",
600+
" y = []\n",
601+
" my_randoms = random.sample(range(min_value, max_value),k=incr)\n",
602+
"# for i random.sample(range(min_value, max_value),k=incr):\n",
603+
"# N = i\n",
604+
"# timer = timeit.Timer(partial(fn, N))\n",
605+
"# t = timer.timeit(number=no_of_tests)\n",
606+
"# x.append(i)\n",
607+
"# y.append(t)\n",
608+
"# p1 = pyplot.plot(x, y, 'o', label = fn.__name__)\n",
609+
"# pyplot.legend(loc='upper left')\n",
610+
"# pyplot.xlabel('data size', fontsize=18)\n",
611+
"# pyplot.ylabel('execution time', fontsize=16)"
612+
]
613+
},
393614
{
394615
"cell_type": "code",
395616
"execution_count": null,
@@ -398,7 +619,7 @@
398619
},
399620
"outputs": [],
400621
"source": [
401-
"def CheckBalanced"
622+
"decimalToBinary(concatenation, 1, 10, 100000, 1000)"
402623
]
403624
}
404625
],

0 commit comments

Comments
 (0)