Question

Create a program that converts an integer to the specified base. in Matlab

----The program should ask for 3 inputs. The number to convert. The base the number is in.

And the base to convert the number to.

----The program should accept a base that is in the range of 2 to 16 inclusive.

----Display the result to the user and ask if they want to exit or convert another number.

 Sub-goals:

o Do not display leading zero's in the result.

o Validate that the number entered is valid for the specified base

Answer 1

Code

T = 1;
while T == 1

% prompt user for different things
% asking user to enter the number
prompt = 'Enter the number \n';
num = input(prompt);
% asking user to enter the source base
prompt = 'Source Base \n';
base = input(prompt);
% asking user to enter the target base
prompt = 'Target base \n';
target = input(prompt);

% conversion from base number to decimal number
% multiplying corresponding digit with its power to convert it to
% decimal
  
% 4 6 0 1
% * * * *
% 8^3 8^2 8^1 8^0
summation = 0;
i = 0;
while num > 0
% extracting last digit and multiplying with correponding power
summation = summation + mod(num,10)*( base^i) ;
% removing last digit by dividing number with 10;
num = fix(num/10);
i = i+1;
end

% conversion from decimal number to target number
y = [];
% converting decimal to target base by dividing the number untill it is
% greater then 0
% storing the number in array so to convert it to string
while summation > 0
val = mod(summation,target);
y = [val y];
summation = fix(summation/target);
end

% to remove leading zeros from vector if any
g = find(y == 0);
for i=1:length(g)
if g(i)==i
y(1) = [];
end
end

% to display it as string
y = string(y);
str = '';

% concatenating each digit
for i = 1:length(y)
str = strcat(str,y(i));
end

disp(str)
  
prompt = 'Want to exit, press any number other than 1 \n';
T = input(prompt);
end

OUTPUT

>> HomeworkLib Enter the number 34647 Source Base 345 Target base 678 136607370592 Want to exit, press any number other than 1 Enter the number 34465 Source Base Target base 11100100110101 Want to exit, press any number other than 1

Answer 2

CODE:

initiate = 'Y'; %initially user input taken as default

function [b] = base2base(num, base_in, base_out) %function to convert from one base to another
x = base2dec(num, base_in);
d = floor(log10(x) / log10(base_out));
y = zeros(1, d+1);
for i=0:d;
b(1+d-i) = mod(floor(x/(base_out^i)),base_out);
end
end

function [] = userPrompt(in) %function for taking user input
if in == 'Y' %if Y then take input otherwise exit
prompt1 = 'Enter integer to be converted: ';
prompt2 = 'Input base: ';
prompt3 = 'Output base: ';
num = input(prompt1, 's');
base_in = input(prompt2);
base_out = input(prompt3);
if base_in<2 || base_in>16 || base_out<2 || base_out>16
fprintf('base is not in range, Try again!\n');
userPrompt('Y');
else
disp(base2base(num, base_in, base_out)); %display the converted number
userPrompt(input('Want to convert another number? Y/N: ', 's')); %ask for another conversion
end
else
fprintf('Exiting!');
end
end

userPrompt(initiate);

OUTPUT:

Enter integer to be converted: 15 Input base: 10 Output base: 2 1 1 1 1 Want to convert another number? Y/N: Y Enter integer to be converted: 101011 Input base: 2 Output base: 8 5 3 Want to convert another number? Y/N: Y Enter integer to be converted: 65 Input base: 7 Output base: 12 3 11 Want to convert another number? Y/N: Y Enter integer to be converted: 15 Input base: 18 Output base: 5 base is not in range, Try again! Enter integer to be converted: T

Code screenshot in online Matlab Octave online: