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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#1: Numbers"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 1.1, Page number 1.12"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"quotient is 381.097560976\n",
"remainder is 4\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"D=41; #divisor\n",
"d=15625; #dividend\n",
"\n",
"#Calculation\n",
"q=d/D; #quotient\n",
"r=d%D; #remainder\n",
"\n",
"#Result\n",
"print \"quotient is\",q\n",
"print \"remainder is\",r"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 1.2, Page number 1.12"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"divisor is 459.0\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"D=397246; #dividend\n",
"r=211; #remainder\n",
"q=865; #quotient\n",
"\n",
"#Calculation\n",
"d=(D-r)/q; #divisor\n",
"\n",
"#Result\n",
"print \"divisor is\",d"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 1.4, Page number 1.13"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"least number to be subtracted is 125\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"d=87375; #dividend\n",
"D=698; #divisor\n",
"\n",
"#Calculation\n",
"r=d%D; #remainder\n",
"\n",
"#Result\n",
"print \"least number to be subtracted is\",r"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 1.5, Page number 1.13"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"least number to be added is 58\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"d=49123; #dividend\n",
"D=263; #divisor\n",
"\n",
"#Calculation\n",
"r=d%D; #remainder\n",
"l=D-r; #least number to be added\n",
"\n",
"#Result\n",
"print \"least number to be added is\",l"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 1.6, Page number 1.13"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"required number is 980\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration \n",
"d=999; #dividend\n",
"D=35; #divisor\n",
"\n",
"#Calculation\n",
"r=d%D; #remainder\n",
"rn=d-r; #required number\n",
"\n",
"#Result\n",
"print \"required number is\",rn"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 1.7, Page number 1.13"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"required number is 112\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration \n",
"d=100; #dividend\n",
"D=14; #divisor\n",
"\n",
"#Calculation\n",
"r=d%D; #remainder\n",
"rn=d+D-r; #required number\n",
"\n",
"#Result\n",
"print \"required number is\",rn"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 1.8, Page number 1.13"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"required remainder is 8\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration \n",
"d=602; #dividend\n",
"D=14; #divisor\n",
"rl=36; #remainder\n",
"\n",
"#Calculation\n",
"k=d/D; #quotient\n",
"rs=rl-(2*D); #required remainder\n",
"\n",
"#Result\n",
"print \"required remainder is\",rs"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 1.9, Page number 1.13"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"required remainder is 39\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration \n",
"d=357; #dividend\n",
"D=17; #divisor\n",
"rs=5; #remainder\n",
"\n",
"#Calculation\n",
"k=d/D; #quotient\n",
"rl=(2*D)+rs; #required remainder\n",
"\n",
"#Result\n",
"print \"required remainder is\",rl"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 1.11, Page number 1.25"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"binary equivalent of 30 is 0b11110\n",
"binary equivalent of 27 is 0b11011\n",
"binary equivalent of 41 is 0b101001\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration \n",
"a=30;\n",
"b=27;\n",
"c=41; #numbers in decimal form\n",
"\n",
"#Calculation\n",
"ba=bin(a); #binary equivalent of 30\n",
"bb=bin(b); #binary equivalent of 27\n",
"bc=bin(c); #binary equivalent of 41\n",
"\n",
"#Result\n",
"print \"binary equivalent of 30 is\",ba\n",
"print \"binary equivalent of 27 is\",bb\n",
"print \"binary equivalent of 41 is\",bc"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 1.12, Page number 1.26"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"result of 10110-1011 is 0b1011\n",
"result of 1001+1010 is 0b10011\n",
"result of 101*100 is 0b10100\n",
"result of 1100/11 is 0b100\n",
"result of 101+1100/10 is 0b1011\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration \n",
"a='10110'\n",
"b='1011'\n",
"c='1001'\n",
"d='1010'\n",
"e='101'\n",
"f='100'\n",
"g='1100'\n",
"h='11'\n",
"i='101'\n",
"j='1100'\n",
"k='10'\n",
"\n",
"#Calculation\n",
"a_b=bin(int(a,2)-int(b,2)); #result of 10110-1011\n",
"c_d=bin(int(c,2)+int(d,2)); #result of 1001+1010\n",
"e_f=bin(int(e,2)*int(f,2)); #result of 101*100\n",
"gh1=int(g,2);\n",
"gh2=int(h,2);\n",
"gh=int(gh1/gh2); \n",
"g_h=bin(gh); #result of 1100/11\n",
"j_k=bin(int(int(j,2)/int(k,2))); #result of 1100/10\n",
"i_j_k=bin(int(i,2)+int(j_k,2)); #result of 101+1100/10\n",
"\n",
"#Result\n",
"print \"result of 10110-1011 is\",a_b\n",
"print \"result of 1001+1010 is\",c_d\n",
"print \"result of 101*100 is\",e_f\n",
"print \"result of 1100/11 is\",g_h\n",
"print \"result of 101+1100/10 is\",i_j_k"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.9"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
|
