Pseudocode: Constructing Base b Expansions 1 procedure base b expansion (n, b: positive integers with b > 1) 2 3 := n 4 5 k = 0 6 7 while 9+0 8 9 ax:=qmodb 10 q:qdivb 12 13 k:=k+1 14 15 return (base b expansion of n) 11 Use the pseudocode above to write a C++ program that implements and tests the base conversion algorithm. The program should allow the user to enter a positive integer for n (the decimal value) and a positive integer greater than 1 for b (the base). Finally the program should print on the screen the result of the conversion. Sample output: Enter a positive integer: 52 Enter a value for the base: 2 52 = 110100 base 2