The Grey Labyrinth is a collection of puzzles, riddles, mind games, paradoxes and other intellectually challenging diversions. Related topics: puzzle games, logic puzzles, lateral thinking puzzles, philosophy, mind benders, brain teasers, word problems, conundrums, 3d puzzles, spatial reasoning, intelligence tests, mathematical diversions, paradoxes, physics problems, reasoning, math, science.

   

Close the Gates

A computer engineer would recognize those diagrams as (sideways) binary logic gates.  The objective is to find the sets of inputs for which the given outcome is "closed," i.e. 1.  Reading the inputs as 5-bit numbers from left to right, the inputs that satisfy each of the diagrams are as follows:

A) 00100, 00101, 00110, 00111, 01101, 01111, 10000, 10010, 10100, 10101, 10110, 10111, 11101, 11111

B) 00000, 00001, 01000, 01001, 01010, 01100, 01101, 01110, 10000, 10001, 10010, 10100, 10110, 11000, 11001, 11010, 11100, 11110

C) 00000, 00001, 00010, 00011, 00100, 00101, 00110, 00111, 01011, 01110, 10010, 11000, 11001, 11010, 11011, 11100, 11101, 11110, 11111

D) 00000, 00010, 00101, 00110, 00111, 01110, 01111, 10110, 10111, 11110, 11111

E) 00000, 00010, 01000, 10000, 10010, 10100, 10110, 11000, 11001, 11010, 11011, 11100, 11101, 11110, 11111

 Next you must evaluate the set notation; find all of the inputs that satisfy, for example, B and C but not E for number 2.

1) 00010, 01111, 10111;  2) 00001, 01110; 3) 00100 4) 00001, 10010; 5) 10010; 6) 01111, 10111; 7) 10011

 Convert binary to decimal and decimal to letters (A=1, B=2, etc.) and you get 1) BOW; 2) AN; 3) D; 4) AR; 5) R; 6) OW; 7) S which gives the answer, BOW AND ARROWS.

2.59 stars. Votes are updated daily.


On a scale of 1 to 5, 1 being among your least favorite, 5 being among your most favorite, how would you rate this puzzle?

1 2 3 4 5

Copyright © 1996-2014 Wx3, All Rights Reserved.