Add print binary challenge

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Donne Martin 2017-03-30 05:44:27 -04:00
parent 907f75d0d0
commit dc4c01c690
4 changed files with 418 additions and 0 deletions

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This notebook was prepared by [Donne Martin](https://github.com/donnemartin). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Challenge Notebook"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Problem: Given a real number between 0 and 1, print the binary representation. If the length of the representation is > 32, return 'ERROR'.\n",
"\n",
"* [Constraints](#Constraints)\n",
"* [Test Cases](#Test-Cases)\n",
"* [Algorithm](#Algorithm)\n",
"* [Code](#Code)\n",
"* [Unit Test](#Unit-Test)\n",
"* [Solution Notebook](#Solution-Notebook)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Constraints\n",
"\n",
"* Is the input a float?\n",
" * Yes\n",
"* Is the output a string?\n",
" * Yes\n",
"* Is 0 and 1 inclusive?\n",
" * No\n",
"* Does the result include a trailing zero and decimal point?\n",
" * Yes\n",
"* Is the leading zero and decimal point counted in the 32 char limit?\n",
" * Yes\n",
"* Can we assume the inputs are valid?\n",
" * No\n",
"* Can we assume this fits memory?\n",
" * Yes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Test Cases\n",
"\n",
"* None -> 'ERROR'\n",
"* Out of bounds (0, 1) -> 'ERROR'\n",
"* General case\n",
" * 0.625 -> 0.101\n",
" * 0.987654321 -> 'ERROR'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Algorithm\n",
"\n",
"Refer to the [Solution Notebook](). If you are stuck and need a hint, the solution notebook's algorithm discussion might be a good place to start."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Code"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"class Bits(object):\n",
"\n",
" def print_binary(self, num):\n",
" # TODO: Implement me\n",
" pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Unit Test"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**The following unit test is expected to fail until you solve the challenge.**"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# %load test_print_binary.py\n",
"from nose.tools import assert_equal\n",
"\n",
"\n",
"class TestBits(object):\n",
"\n",
" def test_print_binary(self):\n",
" bit = Bits()\n",
" assert_equal(bit.print_binary(None), 'ERROR')\n",
" assert_equal(bit.print_binary(0), 'ERROR')\n",
" assert_equal(bit.print_binary(1), 'ERROR')\n",
" num = 0.625\n",
" expected = '0.101'\n",
" assert_equal(bit.print_binary(num), expected)\n",
" num = 0.987654321\n",
" assert_equal(bit.print_binary(num), 'ERROR')\n",
" print('Success: test_print_binary')\n",
"\n",
"\n",
"def main():\n",
" test = TestBits()\n",
" test.test_print_binary()\n",
"\n",
"\n",
"if __name__ == '__main__':\n",
" main()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Solution Notebook\n",
"\n",
"Review the [Solution Notebook]() for a discussion on algorithms and code solutions."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.0"
}
},
"nbformat": 4,
"nbformat_minor": 0
}

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This notebook was prepared by [Donne Martin](https://github.com/donnemartin). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Solution Notebook"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Problem: Given a real number between 0 and 1, print the binary representation. If the length of the representation is > 32, return 'ERROR'.\n",
"\n",
"* [Constraints](#Constraints)\n",
"* [Test Cases](#Test-Cases)\n",
"* [Algorithm](#Algorithm)\n",
"* [Code](#Code)\n",
"* [Unit Test](#Unit-Test)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Constraints\n",
"\n",
"* Is the input a float?\n",
" * Yes\n",
"* Is the output a string?\n",
" * Yes\n",
"* Is 0 and 1 inclusive?\n",
" * No\n",
"* Does the result include a trailing zero and decimal point?\n",
" * Yes\n",
"* Is the leading zero and decimal point counted in the 32 char limit?\n",
" * Yes\n",
"* Can we assume the inputs are valid?\n",
" * No\n",
"* Can we assume this fits memory?\n",
" * Yes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Test Cases\n",
"\n",
"* None -> 'ERROR'\n",
"* Out of bounds (0, 1) -> 'ERROR'\n",
"* General case\n",
" * 0.625 -> 0.101\n",
" * 0.987654321 -> 'ERROR'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Algorithm\n",
"\n",
"* Set the result to '0.'\n",
"* Start with a fraction of 0.5, which is 0.1 in base 2\n",
"* Loop while num > 0\n",
" * Check num versus fraction\n",
" * If num > fraction, add a 1 to the result, num -= fraction\n",
" * Else, add a 0 to the result\n",
" * If the len(result) > 32, return 'ERROR'\n",
" \n",
"Complexity:\n",
"* Time: O(1)\n",
"* Space: O(1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Code"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from __future__ import division\n",
"\n",
"\n",
"class Bits(object):\n",
"\n",
" MAX_BITS = 32\n",
"\n",
" def print_binary(self, num):\n",
" if num is None or num >= 1 or num <= 0:\n",
" return 'ERROR'\n",
" result = ['0', '.']\n",
" fraction = 0.5\n",
" while num:\n",
" if num >= fraction:\n",
" result.append('1')\n",
" num -= fraction\n",
" else:\n",
" result.append('0')\n",
" if len(result) > self.MAX_BITS:\n",
" return 'ERROR'\n",
" fraction /= 2\n",
" return ''.join(result)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Unit Test"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Overwriting test_print_binary.py\n"
]
}
],
"source": [
"%%writefile test_print_binary.py\n",
"from nose.tools import assert_equal\n",
"\n",
"\n",
"class TestBits(object):\n",
"\n",
" def test_print_binary(self):\n",
" bit = Bits()\n",
" assert_equal(bit.print_binary(None), 'ERROR')\n",
" assert_equal(bit.print_binary(0), 'ERROR')\n",
" assert_equal(bit.print_binary(1), 'ERROR')\n",
" num = 0.625\n",
" expected = '0.101'\n",
" assert_equal(bit.print_binary(num), expected)\n",
" num = 0.987654321\n",
" assert_equal(bit.print_binary(num), 'ERROR')\n",
" print('Success: test_print_binary')\n",
"\n",
"\n",
"def main():\n",
" test = TestBits()\n",
" test.test_print_binary()\n",
"\n",
"\n",
"if __name__ == '__main__':\n",
" main()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Success: test_print_binary\n"
]
}
],
"source": [
"%run -i test_print_binary.py"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.0"
}
},
"nbformat": 4,
"nbformat_minor": 0
}

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from nose.tools import assert_equal
class TestBits(object):
def test_print_binary(self):
bit = Bits()
assert_equal(bit.print_binary(None), 'ERROR')
assert_equal(bit.print_binary(0), 'ERROR')
assert_equal(bit.print_binary(1), 'ERROR')
num = 0.625
expected = '0.101'
assert_equal(bit.print_binary(num), expected)
num = 0.987654321
assert_equal(bit.print_binary(num), 'ERROR')
print('Success: test_print_binary')
def main():
test = TestBits()
test.test_print_binary()
if __name__ == '__main__':
main()