Magnitude comparator

Tags

• combinacional
• Digital
• Electronics
• physics
• Electronics formula
• physics formula
• Combinational logic

Detail

Variables

• Logic inputs and outputs $A,B,S,Y,C_{\mathrm{out}}$\{0,1\}. The Karnaugh map minimizes

Conditions

• Combinational logic with no memory; hazards depend on gate delay.

Conventions

• dimensionless (logic)

Related formulas

• Related

  Output carry

  $$C_{\mathrm{out}}=AB+C_{\mathrm{in}}(A\oplus B)$$
  Open formulaOpen in section

• Related

  Static hazard

  $$\Delta t_{\mathrm{hazard}}\approx|t_{p1}-t_{p2}|$$
  Open formulaOpen in section

• Related

  Boolean identities

  $$A+0=A;\;A1=A;\;A+1=1;\;A0=0$$
  Open formulaOpen in section

• Related

  Sum of products

  $$F=\Sigma m(i_1,\ldots,i_k)$$
  Open formulaOpen in section