The Secret Message

Use the provided information to complete the binary matrix. The binary digits when read across (left to right), or down (top to bottom), are to represent the same values as the decimal, hexadecimal and octal representations provided. You can cross check your answers with either the horizontal or vertical answers.

When you have completed the binary matrix, blacken all the squares containing 1s to obtain a secret message!

 

15

14

13

12

11

10

9

8

7

6

5

4

3

2

1

0

 

 

 

 

MSB

 

 

 

 

 

 

 

 

 

 

 

 

 

 

LSB

 

DEC

HEX

OCT

0

1

1

1

0

1

1

1

0

1

1

1

0

1

0

0

 

30580

7774

73564

0

1

0

0

0

1

0

1

0

1

0

1

0

1

0

0

 

17748

4554

42524

0

1

0

0

0

1

0

1

0

1

0

1

0

1

0

0

 

17748

4554

42524

0

1

1

1

0

1

1

1

0

1

1

1

0

1

1

1

 

30583

7777

73567

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

 

0

0

0

1

0

1

0

1

0

1

0

1

0

1

0

1

1

1

0

 

43694

AAAE

125256

1

1

1

0

1

0

1

0

1

1

1

0

0

0

1

0

 

60130

EAE2

165342

1

0

1

0

1

0

1

0

1

0

1

0

0

0

0

0

 

43680

AAA0

125240

1

0

1

0

1

1

1

0

1

0

1

0

0

1

0

0

 

44708

AEA4

127244

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

15

484

303

288

15

481

303

480

15

484

303

480

8

489

44

32

 

DEC

 

 

F

1E4

12F

120

F

1E1

12F

1E0

F

1E4

12F

1E0

8

1E9

2C

20

 

HEX

 

 

17

744

457

440

17

741

457

740

17

744

457

740

10

751

54

40

 

OCT

 

 

 

DEC

OCT

HEX

BIN

Notes

0

0

0

0

-

1

1

1

1

2^0

2

2

2

10

2^1

3

3

3

11

 

4

4

4

100

2^2

5

5

5

101

 

6

6

6

110

 

7

7

7

111

 

8

10

8

1000

2^3

9

11

9

1001

 

10

12

A

1010

 

11

13

B

1011

 

12

14

C

1100

 

13

15

D

1101

 

14

16

E

1110

 

15

17

F

1111

 

16

20

10

10000

2^4

17

21

11

10001

 

18

22

12

10010

 

19

23

13

10011

 

20

24

14

10100

 

Here are standard base conversion tables to help you

 

DEC

OCT

HEX

BIN

Notes

32

40

20

100000

2^5

64

100

40

1000000

2^6

128

200

80

10000000

2^7

256

400

100

100000000

2^8

512

1000

200

1000000000 

2^9

1,024

2000

400

10000000000 

2^10 (10^3)

2,048

4000

800

100000000000 

2^11

4,096

10000

1000

1000000000000 

2^12

8,192

20000

2000

10000000000000 

2^13

16,384

40000

4000

100000000000000 

2^14

32,768

100000

8000

1000000000000000 

2^15

65,536

200000

10000

10000000000000000 

2^16

1,048,576

4000000

100000

**

2^20 (10^6)

1,073,741,824

10000000000

40000000

**

2^30 (10^9)

2,147,483,648

20000000000

80000000

**

2^31

4,294,967,296

40000000000

100000000

**

2^32