Logic & Boolean Algebra

NAND

NAND is the negation of AND and is false only when all inputs are true.

Meaning

What Is NAND?

NAND is the negation of AND and is false only when all inputs are true.

NAND is the negation of AND and is false only when all inputs are true.

Examples

Examples of NAND

11 NAND 1 = 0.
Understand

Formula and Key Points

Formula / rule
¬(p ∧ q)
  • Know the definition and standard notation for NAND.
  • Be able to recognise or compute nand in a small example.
  • Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
CSE Connection

Why This Matters in Computer Science

Used in program conditions, digital circuits, database queries, formal verification, search and decision logic. NAND is functionally complete, so any Boolean circuit can be built using only NAND gates.

FAQ

NAND: Frequently Asked Questions

What is NAND?

NAND is the negation of AND and is false only when all inputs are true.

Why is NAND useful in computer science?

Used in program conditions, digital circuits, database queries, formal verification, search and decision logic. NAND is functionally complete, so any Boolean circuit can be built using only NAND gates.