arrow
arrow
arrow
What does a Quad in a K-map represent?
Question

What does a Quad in a K-map represent?

A.

Difference

B.

Sum

C.

Product

D.

Don’t care

Correct option is C

In a Karnaugh Map (K-map), a Quad refers to a group of four adjacent 1s (minterms). Each group in a K-map represents a product term (ANDed variables) in simplified Boolean algebra. These product terms are then ORed together to form the simplified expression — hence each Quad contributes one product term to the final expression.

Important Key Points:

  1. A Quad contains 4 adjacent cells with value 1, representing 4 minterms.
  2. Each Quad corresponds to a single simplified product term in the final Boolean expression.
  3. Grouping in powers of 2 (1, 2, 4, 8, etc.) helps eliminate variables and simplify the logic.

Knowledge Booster:

  • Difference: A mathematical operation that represents subtraction, not used in K-map simplification.
  • Sum: In Boolean algebra, the final expression is a sum of products, but individual groups (like Quads) represent product terms, not the sum.
  • Don’t care: These are special entries in a K-map marked as X or –, used optionally in groupings to aid simplification — they are not themselves group types like Quad.

Free Tests

Free
Must Attempt

Unit & Measurement - 1

languageIcon English
  • pdpQsnIcon10 Questions
  • pdpsheetsIcon10 Marks
  • timerIcon5 Mins
languageIcon English
Free
Must Attempt

States of Matter

languageIcon English
  • pdpQsnIcon10 Questions
  • pdpsheetsIcon10 Marks
  • timerIcon5 Mins
languageIcon English
Free
Must Attempt

Classification of Plants

languageIcon English
  • pdpQsnIcon10 Questions
  • pdpsheetsIcon10 Marks
  • timerIcon5 Mins
languageIcon English
test-prime-package

Access ‘UPSSSC’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
353k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow