Table 1 The entropy values and LF based entropy values of example sequences

10000000

11111111

3

10000000

11111111

3

00000001

00000001

0

$0000000\frac{1}{8}$

$0000000\frac{1}{8}$

0

10000001

11111112

2.9477

$1000000\frac{1}{7}$

$1111111\frac{8}{7}$

2.9985

10000010

11111122

2.9219

$100000\frac{1}{6}0$

$111111\frac{7}{6}\frac{7}{6}$

2.9966

10000100

11111222

2.6186

$10000\frac{1}{5}00$

$11111\frac{6}{5}\frac{6}{5}\frac{6}{5}$

2.9942

10001000

11112222

2.5546

$1000\frac{1}{4}000$

$1111\frac{5}{4}\frac{5}{4}\frac{5}{4}\frac{5}{4}$

2.9911

10010000

11122222

2.5388

$100\frac{1}{3}0000$

$111\frac{4}{3}\frac{4}{3}\frac{4}{3}\frac{4}{3}\frac{4}{3}$

2.9868

10100000

11222222

2.6154

$10\frac{1}{2}00000$

$11\frac{3}{2}\frac{3}{2}\frac{3}{2}\frac{3}{2}\frac{3}{2}\frac{3}{2}$

2.9808

11000000

12222222

2.9736

11000000

12222222

2.9736