
- •Лабораторна робота № 6. Шифрування інформації з використанням гамування
- •1. Теоретична частина
- •2. Практична частина
- •2. Індивідуальні завдання
- •Зразок виконання роботи
- •1. Шифрування зі звичайним накладанням двійкової гамми
- •2. Шифрування з багаторазовим накладанням двійкових гамм
- •3. Шифрування з багаторазовим об'єднанням двійкових гамм
2. Шифрування з багаторазовим накладанням двійкових гамм
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На_те_й_голова,_щоб_у_ній_розум_був. |
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Клітина H5 = ДЛСТР(D5) – < Enter>
Клітина D7 = фіксоване число – < Enter>
Клітини D9:G17 = ПСТР($D$5;$D$7*$C9+D$8;1) – <Ctrl + Enter>
Клітини D21:G29 = КОДСИМВ(D9) – <Ctrl + Enter>
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Bin Т2 |
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Bin Т1 |
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11001101 |
11100000 |
01011111 |
11110010 |
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11100101 |
01011111 |
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01011111 |
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11100011 |
11101110 |
11101011 |
11101110 |
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11100010 |
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00101100 |
01011111 |
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11111001 |
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11110011 |
01011111 |
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11101001 |
01011111 |
11110000 |
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11100111 |
11110011 |
11101100 |
01011111 |
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11100001 |
11110011 |
11100010 |
00101110 |
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Ключ гама-шифру № 1 |
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m= |
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НОД(512; 127)= |
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a= |
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xi = (a*xi+b) mod m |
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b= |
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x0= |
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101011010 |
010100011 |
111011010 |
000100011 |
К1= |
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101011010010100011111011010000100011 |
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10101101 |
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00101000 |
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11111011 |
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01000010 |
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Ключ гама-шифру № 2 |
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m= |
289 |
НОД(289; 87)= |
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a= |
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xi = (a*xi+b) mod m |
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b= |
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x0= |
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010110011 |
010011000 |
001110011 |
001001011 |
К2= |
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010110011010011000001110011001001011 |
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01011001 |
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10100110 |
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00001110 |
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01100100 |
100 |
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Клітини D34:G42 = Dec2Bin(D21;8) – <Ctrl + Enter>
Клітини I34:P42 = ЗНАЧЕН(ПСТР($D34;I$33;1)) – <Ctrl + Enter>
… … … … …
Клітини AG34:AN42 = ЗНАЧЕН(ПСТР($G34;AG$33;1)) – <Ctrl + Enter>
Клітини C45:C48 = фіксовані числа – < Enter>
Клітина E45 = СЦЕПИТЬ("НОД(";ТЕКСТ(C45;"##");"; ";ТЕКСТ(C46;"##");")=") – < Enter>
Клітина G45 = НОД(C45;C46) – < Enter>
Клітина D48 = C48 – < Enter>
Клітини E48:G48 = ОСТАТ($C$46*D48+$C$47;$C$45) – <Ctrl + Enter>
Клітини D49:G49 = Dec2Bin(D48;9) – <Ctrl + Enter>
Клітина D50 = СЦЕПИТЬ(D49;E49;F49;G49) – < Enter>
Клітини I49:AN49 = ЗНАЧЕН(ПСТР($D$50;I49;1)) – <Ctrl + Enter>
Клітина I50 = СЦЕПИТЬ(ТЕКСТ(I49;"0");ТЕКСТ(J49;"0");ТЕКСТ(K49;"0");ТЕКСТ(L49;"0");…;ТЕКСТ(P49;"0")) – < Enter>
Клітина L50 = Bin2Dec(I50) – < Enter>
Клітини C53:C56 = фіксовані числа – < Enter>
Клітина E53 = СЦЕПИТЬ("НОД(";ТЕКСТ(C53;"##");"; ";ТЕКСТ(C54;"##");")=") – < Enter>
Клітина G53 = НОД(C53;C54) – < Enter>
Клітина D56 = C56 – < Enter>
Клітини E56:G56 = ОСТАТ($C$46*D48+$C$47;$C$45) – <Ctrl + Enter>
Клітини D57:G57 = Dec2Bin(D56;9) – <Ctrl + Enter>
Клітина D58 = СЦЕПИТЬ(D57;E57;F57;G57) – < Enter>
Клітини I57:AN57 = ЗНАЧЕН(ПСТР($D$58;I$48;1)) – <Ctrl + Enter>
Клітина I58 = СЦЕПИТЬ(ТЕКСТ(I57;"0");ТЕКСТ(J57;"0");ТЕКСТ(K57;"0");ТЕКСТ(L57;"0");…;ТЕКСТ(P57;"0")) – < Enter>
Клітина L58 = Bin2Dec(I58) – < Enter>
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Шифрування вхідної інформації |
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Раунд 1. Шифрування вхідної інформації |
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Bin Т2 + К1 |
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0 |
1 |
1 |
0 |
0 |
73 |
|
|
|
|
|
7 |
|
0 |
1 |
0 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
1 |
1 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
74 |
|
|
|
|
|
8 |
|
0 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
0 |
0 |
75 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
76 |
|
|
Раунд 2. Шифрування вхідної інформації |
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||
77 |
|
|
|
Bin Т1 |
|
|
|
(Bin Т2 + К1) + К2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||
78 |
|
|
1 |
2 |
3 |
4 |
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
28 |
29 |
30 |
31 |
32 |
79 |
|
0 |
00111001 |
01101110 |
10101010 |
11010100 |
|
0 |
0 |
1 |
1 |
1 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
1 |
0 |
0 |
80 |
|
1 |
00010001 |
11010001 |
00011100 |
01111001 |
|
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
81 |
|
2 |
00010111 |
01100000 |
00011110 |
11001000 |
|
0 |
0 |
0 |
1 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
82 |
|
3 |
00010110 |
01101110 |
11011001 |
01111001 |
|
0 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
83 |
|
4 |
00001101 |
01100000 |
00010100 |
01111001 |
|
0 |
0 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
84 |
|
5 |
00000111 |
11010001 |
00011000 |
10010101 |
|
0 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
0 |
1 |
85 |
|
6 |
00011101 |
11010001 |
00000101 |
11001000 |
|
0 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
86 |
|
7 |
00010011 |
01111101 |
00011001 |
01111001 |
|
0 |
0 |
0 |
1 |
0 |
0 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
87 |
|
8 |
00010101 |
01111101 |
00010111 |
00001000 |
|
0 |
0 |
0 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
Клітини I66:AN74 = ОСТАТ(I34+I$49;2) – <Ctrl + Enter>
Клітини I79:AN87 = ОСТАТ(I66+I$57;2) – <Ctrl + Enter>
Клітини D79:D87 = СЦЕПИТЬ(ТЕКСТ(I79;"0");ТЕКСТ(J79;"0");ТЕКСТ(K79;"0");ТЕКСТ(L79;"0");…;ТЕКСТ(P79;"0")) – <Ctrl + Enter>
… … … … …
Клітини G79:G87 = СЦЕПИТЬ(ТЕКСТ(AG79;"0");ТЕКСТ(AH79;"0");ТЕКСТ(AI79;"0");…;ТЕКСТ(AN79;"0")) – <Ctrl + Enter>
89 |
B |
C |
D |
E |
F |
G |
H |
I |
J |
90 |
|
|
|
Dec |
|
|
|
|
|
91 |
|
|
1 |
2 |
3 |
4 |
|
|
|
92 |
|
0 |
57 |
110 |
170 |
212 |
|
|
|
93 |
|
1 |
17 |
209 |
28 |
121 |
|
|
|
94 |
|
2 |
23 |
96 |
30 |
200 |
|
|
|
95 |
|
3 |
22 |
110 |
217 |
121 |
|
|
|
96 |
|
4 |
13 |
96 |
20 |
121 |
|
|
|
97 |
|
5 |
7 |
209 |
24 |
149 |
|
|
|
98 |
|
6 |
29 |
209 |
5 |
200 |
|
|
|
99 |
|
7 |
19 |
125 |
25 |
121 |
|
|
|
100 |
|
8 |
21 |
125 |
23 |
8 |
|
|
|
101 |
|
|
|
|
|
|
|
|
|
102 |
|
№ п/п |
1 |
2 |
3 |
4 |
|
|
|
103 |
|
0 |
9 |
n |
Є |
Ф |
9nЄФ |
|
|
104 |
|
1 |
|
С |
|
y |
Сy |
|
|
105 |
|
2 |
|
` |
‑ |
И |
`‑И |
|
|
106 |
|
3 |
|
n |
Щ |
y |
nЩy |
|
|
107 |
|
4 |
|
` |
µ |
y |
`µy |
|
|
108 |
|
5 |
|
С |
|
• |
С• |
|
|
109 |
|
6 |
|
С |
|
И |
СИ |
|
|
110 |
|
7 |
|
} |
|
y |
}y |
|
|
111 |
|
8 |
§ |
} |
|
|
§} |
|
|
112 |
|
|
|
|
|
|
|
|
|
113 |
|
|
9nЄФСy`‑ИnЩy `µy С•СИ}y§} |
||||||
114 |
|
|
Кількість символів: |
36 |
|
|
|
|
Клітини D92:G100 = ДВ.В.ДЕС(D79) – <Ctrl + Enter>
Клітини D103:G111 = СИМВОЛ(D92) – <Ctrl + Enter>
Клітини H103:H111 = СЦЕПИТЬ(D103;E103;F103;G103) – <Ctrl + Enter>
Клітина D113 = СЦЕПИТЬ(H103;H104;H105;H106;H107;H108;H109;H110;H111) – <Enter>
Клітина А114 = ДЛСТР(D113) – <Enter>
116 |
C |
D |
E |
F |
G |
H |
I |
J |
K |
L |
M |
N |
O |
P |
Q |
R |
S |
T |
U |
V |
W |
X |
Y |
Z |
AA |
AB |
AC |
AD |
AE |
AF |
AG |
AH |
AI |
AJ |
AK |
AL |
AM |
AN |
117 |
|
ДеШифрування вхідної інформації |
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|
|||
118 |
|
Раунд 22. ДеШифрування вхідної інформації |
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|
|
|
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|
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|
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|
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|
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|
||||
119 |
|
|
|
|
|
|
((Bin Т2 + К1) + К2) + К2 |
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|
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|
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|
|
|
|
|
|
|
|
|
|
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|
|||||||
120 |
|
|
|
|
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
28 |
29 |
30 |
31 |
32 |
121 |
|
|
|
|
0 |
|
0 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
0 |
0 |
0 |
122 |
|
|
|
|
1 |
|
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
123 |
|
|
|
|
2 |
|
0 |
1 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
0 |
124 |
|
|
|
|
3 |
|
0 |
1 |
0 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
1 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
125 |
|
|
|
|
4 |
|
0 |
1 |
0 |
1 |
0 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
126 |
|
|
|
|
5 |
|
0 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
1 |
127 |
|
|
|
|
6 |
|
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
0 |
128 |
|
|
|
|
7 |
|
0 |
1 |
0 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
1 |
1 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
129 |
|
|
|
|
8 |
|
0 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
0 |
0 |
130 |
|
Раунд 21. ДеШифрування вхідної інформації |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||
131 |
|
|
Bin Т1 |
|
|
|
(((Bin Т2 + К1) + К2) + К2) + К1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||
132 |
|
1 |
2 |
3 |
4 |
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
28 |
29 |
30 |
31 |
32 |
133 |
0 |
11001101 |
11100000 |
01011111 |
11110010 |
|
1 |
1 |
0 |
0 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
0 |
134 |
1 |
11100101 |
01011111 |
11101001 |
01011111 |
|
1 |
1 |
1 |
0 |
0 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
135 |
2 |
11100011 |
11101110 |
11101011 |
11101110 |
|
1 |
1 |
1 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
136 |
3 |
11100010 |
11100000 |
00101100 |
01011111 |
|
1 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
137 |
4 |
11111001 |
11101110 |
11100001 |
01011111 |
|
1 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
138 |
5 |
11110011 |
01011111 |
11101101 |
10110011 |
|
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
139 |
6 |
11101001 |
01011111 |
11110000 |
11101110 |
|
1 |
1 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
140 |
7 |
11100111 |
11110011 |
11101100 |
01011111 |
|
1 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
141 |
8 |
11100001 |
11110011 |
11100010 |
00101110 |
|
1 |
1 |
1 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
1 |
1 |
0 |
Клітини I121:AN129 = ОСТАТ(I79+I$57;2) – <Ctrl + Enter>
Клітини I133:AN141 = ОСТАТ(I121+I$49;2) – <Ctrl + Enter>
Клітини D133:D141 = СЦЕПИТЬ(ТЕКСТ(I133;"0");ТЕКСТ(J133;"0");ТЕКСТ(K133;"0");…;ТЕКСТ(P133;"0")) – <Ctrl + Enter>
… … … … …
Клітини G133:G141 = СЦЕПИТЬ(ТЕКСТ(AG133;"0");ТЕКСТ(AH133;"0");ТЕКСТ(AI133;"0");…;ТЕКСТ(AN133;"0")) – <Ctrl + Enter>
143 |
B |
C |
D |
E |
F |
G |
H |
144 |
|
|
|
Dec |
|
|
|
145 |
|
|
1 |
2 |
3 |
4 |
|
146 |
|
0 |
205 |
224 |
95 |
242 |
|
147 |
|
1 |
229 |
95 |
233 |
95 |
|
148 |
|
2 |
227 |
238 |
235 |
238 |
|
149 |
|
3 |
226 |
224 |
44 |
95 |
|
150 |
|
4 |
249 |
238 |
225 |
95 |
|
151 |
|
5 |
243 |
95 |
237 |
179 |
|
152 |
|
6 |
233 |
95 |
240 |
238 |
|
153 |
|
7 |
231 |
243 |
236 |
95 |
|
154 |
|
8 |
225 |
243 |
226 |
46 |
|
155 |
|
|
|
|
|
|
|
156 |
|
№ п/п |
1 |
2 |
3 |
4 |
|
157 |
|
0 |
Н |
а |
_ |
т |
На_т |
158 |
|
1 |
е |
_ |
й |
_ |
е_й_ |
159 |
|
2 |
г |
о |
л |
о |
голо |
160 |
|
3 |
в |
а |
, |
_ |
ва,_ |
161 |
|
4 |
щ |
о |
б |
_ |
щоб_ |
162 |
|
5 |
у |
_ |
н |
і |
у_ні |
163 |
|
6 |
й |
_ |
р |
о |
й_ро |
164 |
|
7 |
з |
у |
м |
_ |
зум_ |
165 |
|
8 |
б |
у |
в |
. |
був. |
166 |
|
|
|
|
|
|
|
167 |
|
|
На_те_й_голова,_щоб_у_ній_розум_був. |
|
|||
168 |
|
|
Кількість символів: |
36 |
|
|
Клітини D146:G154 = ДВ.В.ДЕС(D133) – <Ctrl + Enter>
Клітини D157:G165 = СИМВОЛ(D146) – <Ctrl + Enter>
Клітини H157:H165 = СЦЕПИТЬ(D157;E157;F157;G157) – <Ctrl + Enter>
Клітина D167 = СЦЕПИТЬ(H157;H158;H159;H160;H161;H162;H163;H164;H165) – <Enter>
Клітина F168 = ДЛСТР(D167) – <Enter>