Table 1 Approximations of \(\pi\).

From: Integration of multiple coinflip devices for high-quality random sampling

Bitstream

Mean approx. of \(\mathbf {\pmb {\pi }}\)

Std. dev. of approx.

TD0

2.8635

0.1680

TD0, 1 XOR

3.4201

0.1393

TD0, 2 XOR

3.2610

0.1234

TD0, 3 XOR

3.2027

0.1099

XOR(TD0,TD1)

3.1619

0.0702

XOR(TD0,TD1,TD2)

3.1461

0.0541

Pipelined

3.1499

0.0541