1.) Decimal Binary and Octal : Write a series of functions that convert a decimal number into binary and octal.

2.) Binary and Octal Decimal: Write a series of functions that convert a binary or octal number back into decimal. For Problems 1 and 2, check your functions with the following: 10Decimal = 1010Binary = 12Octal 20Decimal = 10100Binary = 24Octal

3.) Binary Addition: Write a function that adds two binary numbers that are entered by the user. You may represent each binary number as a string of 0s and 1s. Remember that the calculations need to start at the end of the strings. For binary numbers of different length, you may pad the shorter number with 0s in the front. Also, make sure that the carry bit is implemented properly. For example, the solution of 1 + 1 = 10.

Problems In this lab, we will use Matlab (or C++) to implement a variety of problems. Note for all problems listed, the use of built-in functions or libraries is allowed and should be well commented. 1. Decimal Binary and Octal (30 points Write a series of functions that convert a decimal number into binary and octal 2. Binary and Octal Decimal (30 points) Write a series of functions that convert a binary or octal number back into decimal. For Problems 1 and 2, check your functions with the following: 10 Decimal 1010 Binary 12 Octal 20 Decimal 10100 Binary 24 Octal 3. Binary Addition (40 points) Write a function that adds two binary numbers that are entered by the user. You may represent each binary number as a string of 0's and 1's. Remember that the calculations need to start at the end of the strings. For binary numbers of different length, you may pad the shorter number with 0's in the front. Also, make sure that the carry bit is implemented properly. For example, the solution of 1 1 10