• Write a function setbit that takes three arguments: an integer \(n\) (int, \(0 \leq n < 256\)), an integer \(i\) (int, \(0 \leq i < 8\)) and a Boolean value \(b\) (bool). The integer \(n\) is used to store Boolean values: each bit either represents True (1) or False (0). The bits of \(n\) are numbered as the convention indicates, with the rightmost bit having number zero, the bit next to that number 1, etcetera. If the Boolean value that is passed to the function is True, the function must the bit of \(n\) at position \(i\) to 1. If the Boolean value that is passed to the function is False, the function must the bit of \(n\) at position \(i\) to 0. The function must return the value that is obtained in this way.

• Write a function getbit that takes two arguments: an integer \(n\) (int, \(0 \leq n < 256\)) and an integer \(i\) (int, \(0 \leq i < 8\)). These arguments have the same meaning as with the function setbit. The function must return a Boolean value (bool) that indicates if the bit of \(n\) at position \(i\) is 1.

• Write a function bitstring that takes an integer \(n\) (int, \(0 \leq n < 256\)). The function must return the representation of \(n\) as a bitstring (str).

Example

>>> store = setbit(0, 0, True)
>>> store
1
>>> getbit(store, 0)
True
>>> bitstring(store)
'00000001'
>>> store = setbit(store, 1, True)
>>> store
3
>>> getbit(store, 1)
True
>>> bitstring(store)
'00000011'
>>> store = setbit(store, 2, False)
>>> store
3
>>> getbit(store, 2)
False
>>> bitstring(store)
'00000011'
>>> store = setbit(store, 3, True)
>>> store
11
>>> getbit(store, 3)
True
>>> bitstring(store)
'00001011'
>>> store = setbit(store, 4, False)
>>> store
11
>>> getbit(store, 4)
False
>>> bitstring(store)
'00001011'
>>> store = setbit(store, 5, True)
>>> store
43
>>> getbit(store, 5)
True
>>> bitstring(store)
'00101011'
>>> store = setbit(store, 1, False)
>>> store
41
>>> getbit(store, 1)
False
>>> bitstring(store)
'00101001'