http://www.math.ucla.edu/~dinov/10a.3.01s/ |

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**HW_6_1.cpp/exe**) Ais a number or a text phrase that reads the same backwards as forwards. For example, each of the following five-digit integers is a palindrome:**palindrome****{12321, 55555, 45554, 11611}**. Write a program that reads in a*five-digit*integer and determines whether it is a palindrome. (__Hint__: Use the**division**and**modulus**operators to separate the number into its individual digits. E.g., the left-most**1**in 12321, could be extracted by: 12321/10^{4}= 1, and the remaining 4 digits are obtained by: 12321%10^{4}= 2321. This remainder is then processed in a similar fashion.)

**Sample Run:**

%> (Palindrome Test) Enter a five-digit integer:

%> 12321

%> This number is a**Palindrome**

%> Try another one (y/n)?

%> y

%> (Palindrome Test) Enter a five-digit integer:

%> 12341

%> This number is**NOT a Palindrome**

%> Try another one (y/n)?

%> n

%> Bye!

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**HW_6_2.cpp/exe**) (**Binary-to-decimal**conversion) Collect from the user an integer containing only 0's and 1's (i.e., a__binary__integer) and print its decimal equivalent. (Hint: Use the**modulus**and**division**operators to pick off the__binary__number's digits one at a time from right to left. Just as in the**decimal number system**where the rightmost digit has a positional value of 1 and the next digit left has a positional value of 10, then 100, then 1000, etc., in the**binary number system**, the rightmost digit has a positional value of 1, the next digit left has a positional value of 2, then 4, then 8, etc. (powers of 2, Why?) Thus, the decimal number 234 can be interpreted as 4*1 + 3*10 + 2*100. The decimal equivalent of the binary 1101 is: 1*1 + 0*2 + 1*4 + 1*8 = = 1 + 0 + 4 + 8 = 13. Note that you should be able to convert a binary number of**any**length less than 9 digits. Here is a bit more about interpreting binary numbers.)

**Sample Run:**

%>**(Binary-to-decimal-Converter)**Please enter a binary number (e.g., 10010):

%> 10010111

%>**10010111**(2) <-->**151**(10).

%> Would you like to convert another number from (2)-base --> (10)-base (y/n)?

%> y

%>**111**(2) <-->**7**(10).

%> Would you like to convert another number from (2)-base --> (10)-base (y/n)?

%> n

%> Goodbye!