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B2 - Les entiers naturels en binaire

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Décimal vers binaire

\n", "Ecrire une fonction `decbin` qui prend comme argument un entier `n` et qui renvoie une liste `l` qui correcpond à l'écriture de n en binaire.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Des méthodes utiles :\n", "
`a%b` renvoie le reste de la division de a par b\n", "
`a//b` renvoie le quotient de la division de a par b\n", "
\n", " `l.append(a)` ajoute à la liste l l'élément a\n", "
\n", " `l.reverse()` inverse les élements d'une liste\n", "
essayer dans la cellule suivante" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "l=[-15,-20,2.2,100,9]\n", "#l.append(...)\n", "print(l)\n", "#l.reverse(...)\n", "print(l)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def decbin(n:int)->list:\n", " " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "decbin(22611)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Binaire vers Decimal

\n", "Ecrire une fonction `bindec` qui a pour argument une liste `l` correspond à un entier écrit en binaire et qui renvoie l'entier en décimal" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def bindec(" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "26" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bindec([1,1,0,1,0])" ] } ], "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": "3.6.4" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": true, "title_cell": "B2 - Les entiers naturels en binaire", "title_sidebar": "Contents", "toc_cell": true, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "165px" }, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }