Fan-out: one signal driving twelve inputs — buffer gate

corewhy the gate exists at all

Answer

load 1 column 01, load 12 column 01

Why this example is worth doing

A gate output can only drive so many inputs before its edges slow and its noise margin collapses. Inserting a buffer restores the drive without touching the logic, which is the primary industrial reason the part exists. The page gives a typical fan-out figure and notes that a buffer is usually built as two inverters in series — the double inversion from the NOT page, put to work rather than optimised away.

Try your own input in the Buffer. Truth table, symbol and algebraic form for the non-inverting buffer, and what it is for.

How the answer is reached

Output table

Output table — columns A, load 1, load 12
Aload 1load 12
000
111

Compare with

Open the Buffer

This input is entered in the tool itself — it is too rich for a link to carry.

Note:

Notation this page assumes

  • Symbols: · is AND, + is OR, ⊕ is XOR, a prime or an overline is NOT. The field also takes ∧ ∨ ¬ ~ ! & | and the words.
  • Operator precedence, tightest first: NOT, then AND (including juxtaposition), then XOR/XNOR, then NAND/NOR, then OR, then IMPLIES, then IFF.
  • Gate symbols follow whichever standard the header toggle is set to: ANSI/IEEE Std 91-1984 distinctive shapes, or IEC 60617-12 rectangles.

Sources

  • ANSI/IEEE Std 91-1984, Graphic Symbols for Logic Functions
  • IEC 60617-12, Graphical Symbols for Diagrams — Binary Logic Elements