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#  Answers to Python Exerecises #2

def sum_squares(low,high):
    i = low
    subtotal = 0
    while i <= high:
        subtotal = subtotal + i**2
        i = i + 1
    return subtotal


print('sum_squares(1,3) should be 14 and is',sum_squares(1,3))

def sum_powers(low,high,power):
    i = low
    subtotal = 0
    while i <= high:
        subtotal = subtotal + i**power
        i = i + 1
    return subtotal

print('sum_powers(1,4,3) should be 100 and is', sum_powers(1,4,3))

def SUM_POWERS(a,b,power):
    if a <= b:
        return sum_powers(a,b,power)
    return sum_powers(b,a,power)

print('SUM_POWERS(4,1,3) should be 100 and is',SUM_POWERS(4,1,3))

def fizzbuzz(n):
    i = 1
    while i <= n:
        if i % 15 == 0:
            print('fizzbuzz')
        elif i % 3 == 0:
            print('fizz')
        elif i % 5 == 0:
            print('buzz')
        else:
            print(i)
        i = i + 1

#print(fizzbuzz(16))

def num_digits(n):
    ndigs = 1
    while n >= 10:
        n = n // 10
        ndigs = ndigs + 1
    return ndigs

print('num_digits(5407) should be 4 and is',num_digits(5407))

def bin_to_dec(n):
    placevalue = 1
    total = 0
    while n > 0:
        if n % 10 == 1:
            total = total + placevalue
        n = n // 10
        placevalue = placevalue * 2
    return total

print('bin_to_dec(1101) should be 13 and is',bin_to_dec(1101))