THE PRACTICE STUDIO

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PRACTICE · MEMBERSAdvanced · Single correct

PRACTICE / Logic gates and truth tables

Recognize a combined logic condition

An ideal circuit computes X = A OR B, Z = A AND B, and final output Y = X AND (NOT Z).

For how many of the four binary input pairs is Y = 1?

Organize the givens & assumptions
  • X = A OR B
  • Z = A AND B
  • Y = X AND (NOT Z)
  • Four possible input pairs

Inclusive OR, ordinary AND and ideal NOT with stable binary inputs. Ignore delays.

  1. A11
  2. B33
  3. C00
  4. D22

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