Solved Problem - Application of Truth Tables


Question

The executive board of a small company consists of

In order for a decision to be made A requires the support of one other board member, similarly B requires the support of two other board members. Construct a truth table for the decision-making strategies and indicate clearly where voting results in the decision going

  1. against A
  2. against B


Answer

In the truth table below, A=1 means that A voted in favour of a decision, etc. etc.

ABCDY ABCDY
00000 10000A
00010 10011B
00100 10101B
00110 10111B
01000B 11001
01010B 11011
01100B 11101
01111A 11111


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