Steven's Binary Puzzles Sample Mixed Dimensions

Page 1

Steven's Binary Puzzles Free

Difficulty

Dimensions

sample

easy

mixed

1

0 1

1 1 1

0 0

0

1

1

0 1 0 1 1

1 1 0 0

0 0 0

0

1 1 0 0

1 0 0 1

0

0 1 1

1 0

0 1

0

Zeros and ones are all you need.

Intended for personal use only, commercial use is explicitly forbidden.


Steven's binary puzzles

rules

Binary puzzles are solved when: • all rows and columns contain an equal number of ones and zeros • no two rows or two columns are exactly the same • no more than two consecutive ones or zeros occur in any row or any column

There is only one valid solution which you can reach through logical thinking. Use the following tips to solve the binary puzzles:

0 0 A B 0 1 0 1 1 0 0 1 C 0 0 D 1 G 1 0 1 0

E 1 1 F 0 H 0

I

J 0 1 0 0 1

1 0 1 0 1 1 0 0 1 0 0 1 1 0 1 0 1 K L 0 1 0 0 1

Tip 1 Complete rows and columns Every row and every column needs to have an equal number of ones and zeros, and that's why the row can be completed with two ones: A = 1 and B = 1. Tip 2 Find duos No more than two consecutive ones or zeros are allowed, so every duo of ones or zeros can be completed with the other number: C = 1 and D = 1, and E = 0 and F = 0. Tip 3 Avoid trios To avoid trios, add the other number in between two identical numbers: G = 0 and H = 1. Tip 4 Eliminate impossible combinations In the example only one zero can occur in the empty boxes (l-J).The zero cannot be on both I and J because that would lead to a trio of ones in the remaining boxes: I = 1 and J = 1. Tip 5 Rows or columns cannot be identical The rows are identical except if K = 0 and L = 1.

a word on the different difficulties starter: use tips 1, 2 and 3 easy: use tips 1, 2, 3 and sometimes 4 hard: use tips 1, 2, 3, sometimes 4 and 5 champion: use tips 1, 2, 3, 4 and 5

Intended for personal use only, commercial use is explicitly forbidden.

2


Steven's binary puzzles

easy

12

x

12

12 x 12

0

0 0

1 0 0

0 1

1

0 0

0 0

0

1 1

0

1 1

0

1 1 0 0 0

0

1

1 1

1 1 1

0

0

1 1 0

0 0 0

0 0 0 1

1

0

1 0

1

1 0

1 1 1 1

0 1

1

0 0 0

0

0 1

0

2

0 0

1 1 1

1 1

1 0

0

0 0

0

0 1

1 1 1

0 1 0 0 1

0 1 1

1 0

1 0

1 1

3

3


Steven's binary puzzles

easy

14

x

14

14 x 14

0

0

0

0

1 1

1 0 0 0

1 1

0 0 0

0 1

1

0 0 0

1

0

0

1 0

0

1 0 0

1 1 1

1

1

1 1

0 0 0

1 1

0 1 1

0

0 1 0

4

1

1

1

1

1 0

0 0 0

0 0

1 0 0

0

0 0

1 1

0 0

0

1

0

0

0

0 1

1

0

1

0

1 0

1

0

1

1 1

0 1 1

0 1

1 1

0

5

4


Steven's binary puzzles

easy

14

x

12

12 x 14

1 1 0 0

1 1 0

0 0

1 1

0

0 0 0 0 1

0 1

0 0 0 0

1

1 0

0 0 0

1

1 1

1 6

0 0 0

1 1 1

0 0

0 1

1

1

1

0 1 1

0

0 1 0 0 1

0

0 0

0

1

1 1

0

0

0 0 0

1 1

1

0

7

1

1 0

0 0

0 0

0 1 0

0

1 1

1 0

0 0 0 0

1 0

0 1

1 0

1 0 0

0

0 1

1

0 1

1 1 1

1

1 1 0

1 1 8

5


Steven's binary puzzles

easy

16

x

12

12 x 16

0 0

0

1

1

1

1 1

1 1

1

0 0

0

1

1 0 0

1 0 0

0 1

1 1 1

1 0 0

1 0 0

1

1 1

1

0

0

1 1

1

1 9

0 0

0

0 0

1 1 1

0

1

1 0 0

1 1 1 1 1 0

0 0 0

0 0 0 0 0

1 1 1

0 0

0 0

1

0 0

1 1 1

0 0 0

0 1 0

1 0

10

0

1 0 0

1 1 0 1

0

0 1

0

0

0

0

0

1 1 1

1 1

1

0 0

0 0 1 1

0 0

0 1

0 0

1 0 0

0 1

0

1

1 0 1

0 1 1

11

6


Steven's binary puzzles

easy

12

x

14

14 x 12

0

0 1

0

1

0

0 1

1

0

1 1

1 1 1

0 0 1

0

1 1

0

0

0

1

0 1

0 0

0 0

1

1

1

0 1

1

12

0

1

0 1

0 1

0 1

0

1 0 1 0 1

1 1 0

0 0 1

1

0 0

1 1

0

0

1

0

0 1

0

1

0 1 1 1 1

1

1 1

1

13

7


Steven's binary puzzles

easy

12

x

16

16 x 12

0 1 1 1 1

0 0 0

1 0 1

0

1

1

0

1 0 1 1 1 1

1 0 0

1 1 1

0 0

0

0 0

0 0 0

0

1 0

1

0

0

1

1

14

0 1

0 0 1 0

1

0 1 1

1 1 1

1 1

1

1

0 0

0

1

0 1 1

1

1 1

0 0 0

1

0 1

1 0

0 1 0 0 0

15

8


Steven's binary puzzles

easy

14

x

16

16 x 14

1 1 1

1 0

1 1 1

1

1

1 1 1

1 1

0 0

1

0

1

1 1 1

0 0 0

0

1

1

0

1 0 0 0 0

1

0 0

1 1 1

0 0

1

1 1

0 1

0

1 0

0

16

1 1

1

0

0 0 0 0 0 1 0 1 1 1

0 0

1 1

0 1

1 0

0

0

1 0 0 0

0

0 1

0

0

0 0 1

1

0

0

0

1 1 1 1

0 0 0

0

0 0

1

0 0 0

17

9


Steven's binary puzzles

easy

16

x

16

16 x 16

0 1 1

0

0

0 0 0

1 1

1 0 0

1

0

1 0 0

0 0

1 1

1 0

0

1 1 0

1

0 1 0 0

0 1 0

1

0 0

0

1

1 1

0 0

1 0 0

0

0

0 0

0 0

1

1

1 0

1 0 0

1

0

0 1

0 1

0

18

0

0 0

1 1 1 1

0 0

1 1 0

0 0 0

0 0

1 1 0 1 1 1

0 0 1

0

1 1

1 1

0 1

1

0 0 1

0

1

1

1 0 0 1 0 1

1 1 1

0

1 0 0 1 0 0 1 1

1

0 0 1

1

1

0

19

10


Steven's binary puzzles

easy

20

x

20

20 x 20

0 0 1 0 0 0

0

1

1

0 0

1 1 1

1

0

1

1

1 0

0 1 0

0 1 1 1

0 0

1

0

0

0

0 0 0 0 0

0

1 1 1

1

1 0 0 0

0 1

1

1 1 1

0 0

0 1

0

0 0

1

0

1 1

0

1

0 0 1

1 1

0

0

1 0 0

1 1 1

0 0

0 0 0

1

1

0 0

1 0

1

0 1

1 20

11


Steven's binary puzzles

solutions

1

0

0

1

0

1

0

0

1

0

1

1

0

0

1

0

0

1

1

0

1

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1

0

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1

0

1

1

0

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1

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1

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1

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1

1

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1

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5

6

7

0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0

0 1 1 0 0 1 0 1 0 1 1 0 1 0 0 1

0 1 0 1 0 1 1 0 1 0 1 0 0 1 0 1

0

0

1

1

0

1

0

1

1

0

0

1

0 0 1 1 0 1 0 0 1 1 0 0 1 1 0 1

0 1 0 1 1 0 1 0 1 0 1 0 1 1 0 0

1 0 1 1 0 0 1 1 0 0 1 1 0 0 1 0

1

1

0

0

1

0

1

1

0

0

1

0

1 1 0 0 1 0 1 1 0 1 0 1 0 0 1 0

1 0 1 1 0 1 1 0 0 1 0 1 0 0 1 0

1 1 0 0 1 0 0 1 0 1 0 0 1 1 0 1

1

1

0

1

0

1

0

0

1

1

0

0

0 1 1 0 1 0 1 0 1 0 1 0 0 1 0 1

1 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1

0 0 1 0 0 1 1 0 1 1 0 1 1 0 1 0

0

0

1

0

1

0

1

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1 0 0 1 0 1 0 1 0 1 0 1 1 0 0 1

0 1 1 0 1 0 1 1 0 0 1 0 0 1 1 0

0 1 0 1 1 0 0 1 1 0 1 1 0 0 1 0

0

1

0

1

1

0

1

0

0

1

1

0

0 1 1 0 0 1 1 0 1 1 0 1 0 0 1 0

1 0 0 1 0 1 0 0 1 1 0 1 0 1 1 0

1 0 1 0 0 1 0 1 0 1 0 0 1 1 0 1

1

0

1

1

0

0

1

1

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0

1

0

1 0 0 1 1 0 0 1 1 0 1 0 0 1 1 0

1 0 0 1 0 1 1 0 1 1 0 0 1 0 0 1

0 1 0 1 1 0 1 0 0 1 0 1 1 0 1 0

0

0

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1

1

0

1

1 0 1 0 1 0 1 1 0 0 1 0 1 0 0 1

0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1

1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 0

1

1

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0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 1

1 0 0 1 0 1 0 1 1 0 0 1 1 0 1 0

0 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1

0

0

1

1

0

1

0

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1

0

1 1 0 1 0 0 1 1 0 0 1 0 0 1 1 0

0 0 1 0 0 1 1 0 0 1 1 0 1 1 0 1

0 0 1 0 1 1 0 1 1 0 1 0 1 0 0 1

1

1

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0 0 1 0 1 1 0 0 1 0 1 0 1 1 0 1

0 1 1 0 1 0 1 0 1 0 0 1 0 0 1 1

1 0 1 1 0 0 1 0 0 1 1 0 1 0 1 0

0

1

0

0

1

0

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1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 0

1 0 0 1 1 0 0 1 0 1 0 1 0 1 1 0

1 1 0 0 1 1 0 0 1 0 0 1 0 1 0 1

1

1

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9

10

11

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20

12


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