CC Blog Test Your EQ (Engineering Quotient)

EQ #54

What common function does the following truth table represent?

A B C  X Y Z
0 0 0 → 0 0 0
0 0 1 → 0 0 1
0 1 0 → 0 1 0
0 1 1 → 0 0 1
1 0 0 → 1 0 0
1 0 1 → 0 0 1
1 1 0 → 0 1 0
1 1 1 → 0 0 1

The truth table implements a form of priority encoder:

  • Z is set if C is set, otherwise
  • Y is set if B is set, otherwise
  • X is set if A is set

In other words, C has the highest priority and A has the lowest. However, unlike conventional priority encoders that produce a binary output, this one produces a “one hot” encoding.

The logic is quite straightforward:

  • Z = C
  • Y = B & !C
  • X = A & !B & !C

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EQ #54

by Circuit Cellar Staff time to read: <1 min