python - python中没有+运算符的求和

Question

需要获取没有+运算符的x和y的和。

我试图用加法器将两个数字求和，如果我们对x和y(x ^ y)进行xor，我们将得到求和而不加进位从x & y我们可以进行携带。要添加此进位求和，请再次调用add函数。但它没有给出答案。我的代码中的错误在哪里。

def add(a,b):
    if a == 0:
        return b
    return add(a^b, a&b)

x = 10
y = 20
print(add(10, 20))

错误:

File "main.py", line 4, in add

return add(a^b, a&b)                                                                                                                          File "main.py", line 4, in add                                        

return add(a^b, a&b)                                                                                                                          File "main.py", line 4, in add                                        

return add(a^b, a&b)                                                                                                                          File "main.py", line 4, in add                                        

return add(a^b, a&b)                                                                                                                          File "main.py", line 4, in add                                        

return add(a^b, a&b)                                                                                                                          File "main.py", line 4, in add                                        

return add(a^b, a&b)                                                                                                                          File "main.py", line 4, in add                                        

return add(a^b, a&b)                                                                                                                          File "main.py", line 4, in add                                        

return add(a^b, a&b)                                                                                                                          File "main.py", line 4, in add                                        

return add(a^b, a&b)                                                                                                                          File "main.py", line 2, in add                                        

if a == 0:                                                                                                                                  RuntimeError: maximum recursion depth exceeded in comparison

Answer 1

您还必须转移进位:

def add(a,b):
    if a == 0:
        return b
    if b == 0:
        return a
    return add(a^b, (a&b) << 1)

x = 3
y = 2
print(add(x, y))
# 5