Binary Visualising Puzzle Book
01000010 1
American Standard Code Information Interchange (ASCII) Table
2
Decimal Value
Character
Decimal Value
Character
Decimal Value
Character
65
A
83
S
106
j
66
B
84
T
107
k
67
C
85
U
108
l
68
D
86
V
109
m
69
E
87
W
110
n
70
F
88
X
111
o
71
G
89
Y
112
p
72
H
90
Z
113
q
73
I
97
a
114
r
74
J
98
b
115
s
75
K
99
c
116
t
76
L
100
d
117
u
77
M
101
e
118
v
78
N
102
f
119
w
79
O
103
g
120
x
80
P
104
h
121
y
81
Q
105
i
122
z
82
R
3
Coordinates of Square
(0,1)
(0,0)
(1,1)
Symbol to Binary Example This symbol represents the character a.
(1,0)
Coordinates of each circle.
1st coordinate (0,1)
2nd coordinate (1,0)
3rd coordinate (0,0)
4th coordinate (0,1)
Circle Size Key Size of circle indicated order of coordinates.
a To find this symbol’s binary digits: Write down the coordinates of each circle in size order, from the smallest circle to the largest circle. 1st coordinate
2nd coordinate
(0,1) (1,0) (0,0) (0,1) Then take the numbers from their coordinate brackets to find the binary digits.
01
10
00
01100001
01
So the symbol;
4
3rd coordinate
4th coordinate
Represents the binary digits;
01100001
5
Symbol to Binary Example
Circle Value Key
This symbol represents the character a. To find this symbol’s decimal value:
0
0
64
16
128
32
Find the corresponding circles in the key.
192 64
32
0
1
48
a Add each of the 4 circles’ values together.
64 0
4
8
12
32 0 1
97
0
6
1
2
3
So the symbol; Represents the decimal value;
97
7
Convert these symbols into binary digits.
8
Draw the symbols to represent these binary digits.
01101111
01010101
01110001
01110101
9
Find the decimal value of these symbols.
10
11
Find the decimal value of these symbols, and then use the ASCII table to find the corresponding character values.
12
13
Find the character that these binary digits represent.
Find the character that these binary digits represent.
01010010
01110010
Draw the symbol that represents these digits.
Draw the symbol that represents these digits.
Equate this symbol to a decimal value.
Equate this symbol to a decimal value.
Use the ASCII table to find this number’s character value.
Use the ASCII table to find this number’s character value.
14
15
Decipher the letter from these symbols and then find the anagram.
16
17
Decipher the letter from these symbols and then find the anagram.
18
19
Decipher the letter from these symbols and then find the anagram.
20
21
Decipher the letter from these symbols and then find the anagram.
22
23
Rotate this symbol 180 degrees and find the new symbol’s binary digits.
Rotate this symbol 180 degrees and find the new symbol’s binary digits.
Rotate this symbol 180 degrees and find the new symbol’s decimal value.
Rotate this symbol 180 degrees and find the new symbol’s decimal value.
24
25
Draw the symbol to represent the binary digits
Draw the symbol to represent the binary digits
Draw the symbol to represent the binary digits
Draw the symbol to represent the binary digits
10110001
10110110
10111100
10111010
Now rotate this symbol by 180 degrees, and find the new symbol’s character value.
26
Now rotate this symbol by 180 degrees, and find the new symbol’s character value.
Now rotate this symbol by 180 degrees, and find the new symbol’s character value.
Now rotate this symbol by 180 degrees, and find the new symbol’s character value.
27
Complete the symbol so it represents H.
Complete the symbol so it represents p.
Complete the symbol so it represents j.
Complete the symbol so it represents T.
28
29
Convert these symbols into binary digits.
Convert these symbols into binary digits.
Now subtract the smallest from the largest.
Now subtract the smallest from the largest.
Take this decimal value and find which character it equates to in the ASCII table.
Take this decimal value and find which character it equates to in the ASCII table.
30
31
Reflect this symbol vertically and find the new symbol’s binary digits.
Reflect this symbol vertically and find the new symbol’s binary digits.
Reflect this symbol vertically and find the new symbol’s decimal value.
Reflect this symbol vertically and find the new symbol’s decimal value.
32
33
Convert these symbols into their character equivalent to find the odd one out.
34
35
Convert these symbols into their character equivalent to find the odd one out.
36
37
Translate this binary message.
01100011
01101111
01101001
01110011
38
01100100
01101001
01101110
01100111
01100110
01110101
01101110
39
Translate this binary message.
01010000
01110101
01111010
01111010
01101100
01100101
01110011
01000011
01101111
01101101
01110000
01101100
01100101
01110100
40
01100101
41
A-Z Symbol Key
42
A
B
C
D
Q
R
S
T
E
F
G
H
U
V
W
X
I
J
K
L
Y
Z
M
N
O
P
43
a-z Symbol Key
44
a
b
c
d
q
r
s
t
e
f
g
h
u
v
w
x
i
j
k
l
y
z
m
n
o
p
45
Answers p.6 p.7
p.27 01100101, 01001101, 01100011, 01110101
p.28 e p.29 n p.30 01011010, 121 p.31 01001001, 88 p.32
p.8-9 102, 104, 78, 81 p.10-11 72 - H, 68 - D, 120 - x, 106 - j p.12 R p.13 r p.14 Binary Code p.16 Computer Processor p.18 two hundred and fifty six p.20 symbol system p.22 01001110, 103 p.23 01000011, 76 p.24-25 N, I, C, E p.26
46
p.34
p.36 p.38
coding is fun Puzzles Complete
47
Visualising Binary Puzzle Book The number system naturally used by humans, the decimal system, has ten bases, 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The binary number system, used by computers, only uses two bases, 0 and 1. All computer information is stored in 8 digit binary numbers. Each number mathematically equates to a decimal number and each decimal number equates to a character or computer command. These characters are converted using the American Standard Code Information Interchange (ASCII) Table, a character-encoding system. Though some are more commonly used than others, there are 256 possible 8 digit binary numbers, hence 256 different characters in the full ASCII table. While computers can record extensive lengths of information by recording everything as 0s and 1s, humans prefer to remember smaller lengths of information using various characters. For example, humans struggle to remember the difference between the numbers ‘01001011’ and ‘01001001’, but can easily remember the difference between the letters ‘K’ and ‘I’. These puzzles use a symbol system created to visualise how a computer reads information, in a way humans are more likely to understand.
Issue 01. £1.50
48