TTL Voltage Levels LOW HIGH 0 0.8 2 2.4 5 8 Power Supply Range 0 0.8 2 2.4 5 8 Typical choice Power Supply Range Ideal: LOW = 0V and HIGH = Power Supply A non-ideal input will not degrade the output.
The Simplest “Gates” useless BUF NOT (INV) A Q In = A Out = Q T F Q = F In = A Out = Q T F Q = A BUF NOT (INV) In = A Out = Q T F Q = opposite of A In = A Out = Q T F Q = T
Multiple Gates: Known Inputs 1
Multiple Gates: Known Inputs B C D E 1 Z
Multiple Gates: Expressions Q C B A
Multiple Gates: Expressions Q C B A
Green are just like number algebra Boolean Algebra Rules Green are just like number algebra Rules with Constants Idempotent Complementary Involution Commutative Associative “distribute &” “factor &” “distribute |” “factor |” Distributive & FOIL | FOIL
Not at all like numbers… Boolean Algebra Rules Not at all like numbers… extra & extra OR extra NOT in OR extra NOT in & DeMorgan’s Theorems
DeMorgan Relationships
DeMorgan Relationships
Calling All NANDs B A C A B C A B C
Calling All NANDs B A C B A C B A C
Calling All NORs? Sometimes all NORs is better, sometimes all NANDs is better