I have value of the type bytes that need to be converted to BIT STRING

bytes_val = (b'\x80\x00', 14)

the bytes in index zero need to be converted to bit string of length as indicated by the second element (14 in this case) and formatted as groups of 8 bits like below.

expected output => '10000000 000000'B

Another example

bytes_val2 = (b'\xff\xff\xff\xff\xf0\x00', 45) #=> '11111111 11111111 11111111 11111111 11110000 00000'B

What about some combination of formatting (below with f-string but can be done otherwise), and slicing:

def bytes2binstr(b, n=None):
    s = ' '.join(f'{x:08b}' for x in b)
    return s if n is None else s[:n + n // 8 + (0 if n % 8 else -1)]

If I understood correctly (I am not sure what the B at the end is supposed to mean), it passes your tests and a couple more:

func = bytes2binstr
args = (
    (b'\x80\x00', None),
    (b'\x80\x00', 14),
    (b'\x0f\x00', 14),
    (b'\xff\xff\xff\xff\xf0\x00', 16),
    (b'\xff\xff\xff\xff\xf0\x00', 22),
    (b'\x0f\xff\xff\xff\xf0\x00', 45),
    (b'\xff\xff\xff\xff\xf0\x00', 45),
)
for arg in args:
    print(arg)
    print(repr(func(*arg)))
# (b'\x80\x00', None)
# '10000000 00000000'
# (b'\x80\x00', 14)
# '10000000 000000'
# (b'\x0f\x00', 14)
# '00001111 000000'
# (b'\xff\xff\xff\xff\xf0\x00', 16)
# '11111111 11111111'
# (b'\xff\xff\xff\xff\xf0\x00', 22)
# '11111111 11111111 111111'
# (b'\x0f\xff\xff\xff\xf0\x00', 45)
# '00001111 11111111 11111111 11111111 11110000 00000'
# (b'\xff\xff\xff\xff\xf0\x00', 45)
# '11111111 11111111 11111111 11111111 11110000 00000'

---

Explanation

• we start from a bytes object
• iterating through it gives us a single byte as a number
• each byte is 8 bit, so decoding that will already give us the correct separation
• each byte is formatted using the b binary specifier, with some additional formatting: 0 zero fill, 8 minimum length
• we join (concatenate) the result of the formatting using ' ' as "separator"
• finally the result is returned as is if a maximum number of bits n was not specified (set to None), otherwise the result is cropped to n + the number of spaces that were added in-between the 8-character groups.

---

In the solution above 8 is somewhat hard-coded. If you want it to be a parameter, you may want to look into (possibly a variation of) @kederrac first answer using int.from_bytes(). This could look something like:

def bytes2binstr_frombytes(b, n=None, k=8):
    s = '{x:0{m}b}'.format(m=len(b) * 8, x=int.from_bytes(b, byteorder='big'))[:n]
    return ' '.join([s[i:i + k] for i in range(0, len(s), k)])

which gives the same output as above.

Speedwise, the int.from_bytes()-based solution is also faster:

for i in range(2, 7):
    n = 10 ** i
    print(n)
    b = b''.join([random.randint(0, 2 ** 8 - 1).to_bytes(1, 'big') for _ in range(n)])
    for func in funcs:
        print(func.__name__, funcs[0](b, n * 7) == func(b, n * 7))
        %timeit func(b, n * 7)
    print()
# 100
# bytes2binstr True
# 10000 loops, best of 3: 33.9 µs per loop
# bytes2binstr_frombytes True
# 100000 loops, best of 3: 15.1 µs per loop

# 1000
# bytes2binstr True
# 1000 loops, best of 3: 332 µs per loop
# bytes2binstr_frombytes True
# 10000 loops, best of 3: 134 µs per loop

# 10000
# bytes2binstr True
# 100 loops, best of 3: 3.29 ms per loop
# bytes2binstr_frombytes True
# 1000 loops, best of 3: 1.33 ms per loop

# 100000
# bytes2binstr True
# 10 loops, best of 3: 37.7 ms per loop
# bytes2binstr_frombytes True
# 100 loops, best of 3: 16.7 ms per loop

# 1000000
# bytes2binstr True
# 1 loop, best of 3: 400 ms per loop
# bytes2binstr_frombytes True
# 10 loops, best of 3: 190 ms per loop