CodiodeCodiode
Home
Problem Solving
Skill Tracks
My Assignments
Contests
Leaderboard
Community
Settings
Codiode/Problems/Combinational Logic

From Expression to Minterm List Without a Truth Table

MediumLogic CircuitAnalyze

Modern logic synthesis tools expand optimized Boolean equations into canonical forms to verify structural equivalence against original specifications. The expression F = A'B + AB'C defines a three-variable logic function with inputs A, B, and C. Determine the minterm indices covered by each product term directly from the expression structure. Produce the full minterm list and represent the function in standard sigma notation without constructing a truth table.

Constraints

  • Assume standard binary weighting where A is the most significant bit and C is the least significant bit.
  • Evaluate the expression exactly as written.
  • Formatting for lists must be comma-separated integers in ascending order.

Topics

Boolean AlgebraMintermsCanonical FormSum of Products

Solve this problem

Place the gates, wire them up and watch the signals settle. Every submission runs on the same simulation engine that grades it.

This problem is part of Codiode Pro. The statement above is free to read.

Sign in to solveSee what Pro unlocks

The circuit builder and code editor need a desktop screen. On a phone, read the problem here and open it on a laptop to solve.

Related problems

  • Binary to HexEasy
  • 1-to-4 Demultiplexer from AND and NOT GatesEasy
  • 2-to-4 Line Decoder with Active-High EnableEasy
  • Hex Nibble to BinaryEasy
  • Odd Parity Bit Generator for 3-bit DataEasy
  • Full Adder from Half AddersEasy
  • Modulo ArithmeticMedium
  • Two's Complement: Encode a Negative DecimalEasy

Browse all problems · Learning tracks