{
"cells": [
 {
		   "cell_type": "markdown",
	   "metadata": {},
	   "source": [
       "# Chapter 7: Logic circuits"
	   ]
	},
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.1: example_1.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clc\n",
"//ex7.1\n",
"N=343;      //decimal integer\n",
"N2=dec2bin(N);      //binary equivalent of N\n",
"disp(N2,'Binary equivalent of 343 is')"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.2: example_2.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clc\n",
"//ex7.2\n",
"N=0.392;      //decimal\n",
"DP=N;      //decimal part(no integer part)\n",
"i=1;\n",
"x=1;\n",
"//Each decimal digit is stored in D(x)\n",
"while (x<=9)\n",
"DP=DP*2;\n",
"D(x)= floor (DP);\n",
"x=x+1;\n",
"DP= modulo (DP ,1);\n",
"end\n",
"DP=0;\n",
"for j=1: length (D)\n",
"//bits of decimal part are multiplied with their position values and adding them\n",
"    DP=DP+(10^(-1*j)*D(j));\n",
"end\n",
"disp(DP,'Binary form of 0.392 is')"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.3: example_3.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clc\n",
"//ex7.3\n",
"N=343.392;\n",
"//convert the integer and decimal parts into binary form separately\n",
"B_1='101010111';      //for 343 from ex7.1\n",
"B_2='0.011001';      //for 0.392 from ex7.2\n",
"//combining these two\n",
"B='101010111.011001';      //for N, given number\n",
"disp(B,'binary form of 343.392')"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.4: example_4.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//ex7.4\n",
"N_1=1000.111;\n",
"N_2=1100.011;\n",
"//Adding these two according to the rules of binary addition in fig7.6, we get\n",
"disp('The result of addition of given two binary numbers is')\n",
"disp('10101.010')"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.5: example_5.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clc\n",
"//ex7.5\n",
"//Given 317.2 (octal)and F3A.2 (hexadecimal)\n",
"//From table 7.1 in text, corresponding octal forms of 3,1,7 and 2 are 011,001,111 and 010\n",
"disp('The binary representation of 317.2(octal) is ')\n",
"disp('011001111.010')\n",
"disp('')\n",
"//From table 7.1 in text, corresponding hexadecimal forms of F,3,A and 2 are 1111,0011,1010 and 0010\n",
"disp('The binary representation of F3A.2(hexadecimal) is ')\n",
"disp('111100111010.0010')"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 7.6: example_6.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clc\n",
"//ex7.6\n",
"//Given 11110110.1(binary)\n",
"//Working outward from the binary point, we form three-bit groups ==> 11110110.1=011 110 110. 100(we have appended leading and trailing zeros so that each group contains 3 bits)\n",
"//And the corresponding numbers for 011,110,110 and 100 in octal system are 3,6,6 and 4\n",
"disp('The octal representation of 11110110.1(binary) is 366.4')\n",
"//Now we form four-bit groups appending leading and trailing zeros as needed ==> 11110110.1=1111 0110. 1000\n",
"//The corresponding numbers for 1111,0110 and 1000 in hexadecimal system are F,6 and 8\n",
"disp('The hexadecimal representation of 11110110.1(binary) is F6.8')"
   ]
   }
],
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		   "help_links": [
			{
			 "text": "MetaKernel Magics",
			 "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
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