mirea-projects/First term/Informatics/IT-1.md

Рабочая тетрадь № 1

Задачи № 1

№ 1

4 mb = 4 * 1024 * 1024 * 8 bit = 33554432 bit

№ 2

2 gb = 2 * 1024 * 1024 * 1024 byte = 2147483648 byte

№ 3

6291456 byte = 6291456 / 1024 / 1024 mb = 6 mb

Задачи № 2

№ 1

log2(26) = 5 bit

№ 2

log2(5) = 3 bit

№ 3

log2(21) = 5 bit

Задачи № 3

№ 1

-0.5 * log2(0.5) = 0.5
-0.5 * log2(0.5) = 0.5

H = 0.5 + 0.5 = 1

№ 2

-1/6 * log2(1/6) = 0.431
-1/6 * log2(1/6) = 0.431
-1/6 * log2(1/6) = 0.431
-1/6 * log2(1/6) = 0.431
-1/6 * log2(1/6) = 0.431
-1/6 * log2(1/6) = 0.431

H = 0.431 + 0.431 + 0.431 + 0.431 + 0.431 + 0.431 = 2586

№ 3

-0.6 * log2(0.6) = 0.442
-0.4 * log2(0.4) = 0.529

H = 0.442 + 0.529 = 0.971

Задачи № 4

№ 1

77

№ 2

u

№ 3

73 74 75 64 65 6E 74

Задачи № 5

№ 1

110010010

№ 2

101000011

№ 3

Да

Задачи № 6

№ 1

00111011

000 000 111 111 111 000 111 111

№ 2

001 011 010 110 011 010 001 111 

01011001

№ 3

CCz oYo mdm ppS uRu tpt wee Qrr __* Rss acc iBi eee nn% Fcc jee

Computer_science

Задачи № 7

№ 1

B 1010100
C 0011110
  0110101

3

№ 2

A 0101010
B 1010100
C 0011110

ρ(A,B)

A 0101010
B 1010100
  0000001

6

ρ(A,C)

A 0101010
C 0011110
  1001011

3

ρ(B,C)

B 1010100
C 0011110
  0110101

3

ρ(A,B) ≤ ρ(A,C) + ρ(C,B) - Да
ρ(A,C) ≤ ρ(A,B) + ρ(B,C) - Да
ρ(B,C) ≤ ρ(B,A) + ρ(A,C) - Да

Да

№ 3

d = min(6, 3, 3) = 3

3 >= 2n + 1

n = 1

Тест

1. 1
2. 3
3. 2
4. 4
5. 4
6. 2
7. 3
8. 1
9. 3
10. 4

Задачи № 8

№ 1

print("Калинин Никита Викторович ЭФБО-09-23")

№ 2

a = int(input())
b = int(input())

print(a + b)

№ 3

a = float(input())

print(x ** 5 - 2 * x ** 3 + 1)

Задачи № 9

№ 1

strange = [[], 1]

print(type(strange))

№ 2

for x in 0, 1:
    for y in 0, 1:
        if (x or y)  and  (not(x) or y)  and  not(x and y):
            print(x, y)

№ 3

some_list = []

for i in range(4):
    some_list.append(i)

for i in some_list[::-1]:
    print(i)

Задачи № 10

№ 1

from math import log, ceil

def hartly(n: int) -> float:
    return ceil(log(n, 2))

print(hartly(int(input())))

№ 2

from math import log

def entropy(p1, p2: float) -> float:
    h1 = -1 * p1 * log(p1, 2)
    h2 = -1 * p2 * log(p2, 2)
    
    return h1 + h2

a = float(input())
b = float(input())

print(entropy(a, b))

№ 3

from math import tan, cos, sin, e, log

def some_func(x: float) -> float:
    return tan(cos(x) * sin(2 * x) / x * e**x) ** log(x, 7)

x = float(input())
print(some_func(x))

№ 4

def parity_bit(string: str) -> str:
    if string.count("1") % 2 == 0:
        return string + "0"

    return string + "1"

s = input()

print(parity_bit(s))