Number of digital levels

Tags

• conversion
• A/D–D/A conversion and sampling
• Digital
• Electronics
• physics
• Electronics formula
• physics formula

Detail

Variables

• $f_s,f_{\max},f_N$Hz
• $n$bits
• $V_{\mathrm{FS}}$V
• $\Delta$V
• $\delta$dimensionless
• $t_{\mathrm{on}},T$s.

Conditions

• Ideal converter, band-limited in-range signal.

Conventions

• Hz, V or dimensionless

Related formulas

• Related

  Least-significant-bit weight

  $$\mathrm{LSB}=\frac{V_{\mathrm{FS}}}{2^n}$$
  Open formulaOpen in section

• Related

  Flash-ADC comparators

  $$N_{\mathrm{comp}}=2^n-1$$
  Open formulaOpen in section

• Related

  Angular frequency

  $$\omega=2\pi f$$
  Open formulaOpen in section

• Related

  RC low-pass filter

  $$H(j\omega)=\frac{1}{1+j\omega RC}$$
  Open formulaOpen in section