The first option of your program will prompt the user to enter a positive binary number (base 2 -- I's and O's only) of no more than 6 digits. Read this value as an int type value and your program must make sure that it is indeed a binary number (only I's and O's). If it isn't, then the user is prompted again. If it is binary, then your program is to calculate the equivalent decimal value (base 10 -- the number system). MSB Binary Digit 254 12 32 4 4 21 Representation of a binary number So for example, converting a Binary to Decimal number would be: Decimal Digit Value 256 128 64 32 16 8 4 2 1 Binary Digit Value 1 0 11 0 0 1 o By adding together ALL the decimal number values from right to left at the positions that are represented by a "I" gives us:(256) + (64) + (32) + (4) + (1) - 35710 or three hundred and fifty-seven as a decimal number. The second option of your program will prompt the user to enter 3 positive numbers in the rangel to 10, and will tell the user whether the three inputs will form the sides of a triangle. That is, your program is to determine whether or not the three input values can possibly be the three sides of a triangle. For instance, 3, 4, and 10 cannot be sides of a triangle because the longest side is greater than the sum of the other two sides (they don't satisfy the "triangle inequality"). The third option will be Quit. Maintain a log of outputs to an output.txt file. Write three functions, menu function, this function will display menu options repeatedly, there is no returned values from this function. binary decimal _function, this function will take as input one integer (base 2) number and retum as output its equivalent decimal value. tringle_function, this function will receive as input three integer positive numbers in the range 1-10, and determine whether or not the three input values can possibly be the three sides of a triangle. Example valid/invalid inputs and the expected outputs. (D er ) te convert inary uber to its evivalent decinal (T er t) te findout wether three bers will fore tringle sides (0 er e) te Qit Inter you cheice enetra positive binary er (base a1's and e's only) or ne ere than digits arning reng input try gain z enetr a positive sinary nuber (hase a-- l's and 's aniy) of no more than digits arning..rong input try again z enetra positive binary uber (base 21's and 's only) of ne ere than igits The equivalent decinal nuber is as for the input binary uber 1 -(D or d) to convert binary number to its equivalent decinal (T or t) to findout wether three numbers will form tringle sides (Q or a) to Quit Enter you choice t Plz enter 3 positive numbers in the rangel to 100 30 90 se0 Marning....rong input try again Plz enter 3 positive numbers in the rangel to 100 30 90 se The three input values 30, 90 ,s0 can possibly be the three sides of a triangle (D or d) to convert binary nunber to its equivalent decimal -(T or t) to findout wether three numbers wil form tringle sides -(Q or a) to Quit Enter you choice t Plz enter 3 positive numbers in the rangel to 100 30 10 se The three input values 30, 10, se can NOT be the three sides of a triangle