In this kata, you have to define a function named **func** that will take a list as input.

You must try and guess the pattern how we get the output number and return list - **[output number,binary representation,octal representation,hexadecimal representation]**, but **you must convert that specific number without built-in : bin,oct and hex functions.**

Examples : 

```python
func([12,13,6,3,6,45,123]) returns - [29,'11101','35','1d']

func([1,9,23,43,65,31,63,99]) returns - [41,'101001','51','29']

func([2,4,6,8,10,12,14,16,18,19]) returns - [10,'1010','12','a']
```

Difficulty: EASY
Tags: Ad-hoc

Starter code:
def func(l):
	

Solutions:
def func(l):
	n = sum(l) // len(l)
	return [n] + [format(n, f) for f in 'box']


from statistics import mean
DIGITS = '0123456789abcdef'

def to(n, base):
	result = []
	while n:
		(n, r) = divmod(n, base)
		result.append(DIGITS[r])
	return ''.join(reversed(result))

def func(l):
	n = int(mean(l))
	return [n, to(n, 2), to(n, 8), to(n, 16)]


def func(l):
	n = sum(l) // len(l)
	return [n] + '{:b} {:o} {:x}'.format(n, n, n).split()


from builtins import bin, oct, hex

def func(l):
	l = sum(l) // len(l)
	return [l, bin(l)[2:], oct(l)[2:], hex(l)[2:]]


def func(l):
	a = sum(l) // len(l)
	al = [a]
	for q in [2, 8, 16]:
		(s, te) = (al[0], [])
		for i in range(0, 20):
			if s > q - 1:
				te.append(str(s % q))
				s = s // q
			else:
				te.append(str(s))
				break
		if q != 16:
			al.append(''.join((x for x in te[::-1])))
		else:
			d = {'10': 'a', '11': 'b', '12': 'c', '13': 'd', '14': 'e', '15': 'f'}
			al.append(''.join((d.get(x) if int(x) > 9 else x for x in te[::-1])))
	return al


def base(n, b):
	a = '0123456789abcdef'
	r = ''
	while n:
		(n, i) = divmod(n, b)
		r = a[i] + r
	return r or '0'

def func(l):
	n = sum(l) // len(l)
	return [n, base(n, 2), base(n, 8), base(n, 16)]


def func(l):
	a = int(sum(l) / len(l))
	return [a, '{:b}'.format(a), '{:o}'.format(a), '{:x}'.format(a)]


from math import floor

def func(arr):
	x = floor(sum(arr) / len(arr))
	return [x] + [format(x, f'{i}') for i in 'box']


from statistics import mean

def func(l):
	m = int(mean(l))
	return [m, ''.join(('1' if m & 2 ** i else '0' for i in range(99, -1, -1))).lstrip('0'), f'{m:o}', f'{m:x}']


def binary(x):
	result = []
	while True:
		remainder = x % 2
		result.append(str(remainder))
		x = x // 2
		if x == 0:
			break
	result.reverse()
	return ''.join(result)

def octal(x):
	result = []
	while True:
		remainder = x % 8
		result.append(str(remainder))
		x = x // 8
		if x == 0:
			break
	result.reverse()
	return ''.join(result)

def hexadecimal(x):
	result = []
	while True:
		remainder = x % 16
		if remainder == 10:
			result.append('a')
		elif remainder == 11:
			result.append('b')
		elif remainder == 12:
			result.append('c')
		elif remainder == 13:
			result.append('d')
		elif remainder == 14:
			result.append('e')
		elif remainder == 15:
			result.append('f')
		else:
			result.append(str(remainder))
		x = x // 16
		if x == 0:
			break
	result.reverse()
	return ''.join(result)
import math

def func(l):
	average = math.floor(sum(l) / len(l))
	result = [average, binary(average), octal(average), hexadecimal(average)]
	return result