Системы счисления. Перевод двоичной и десятичной.

Системы счисления. Перевод двоичной и десятичной.

7th Grade

10 Qs

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Системы счисления. Перевод двоичной и десятичной.

Системы счисления. Перевод двоичной и десятичной.

Assessment

Quiz

Computers

7th Grade

Hard

Created by

Анастасия Каштакова

Used 1+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Maya пытается преобразовать число 101 из двоичной в десятичную систему. Каков результат?

3

7

5

9

Answer explanation

Число 101 в двоичной системе счисления эквивалентно 5 в десятичной. Чтобы преобразовать, вы умножаете каждую цифру справа налево на 2, возведенные в степень ее положения, а затем суммируете результаты: (1*2^2) + (0*2^1) + (1*2^0) = 5.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Переведите число 13 в двоичную систему счисления

1110

1001

1011

1101

Answer explanation

The correct binary equivalent of 13 in decimal is 1101. Each digit in binary represents a power of 2, starting from the right with 2^0. Therefore, 1*2^3 + 1*2^2 + 0*2^1 + 1*2^0 = 13.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the decimal equivalent of the binary number 1101?

13

14

16

15

Answer explanation

The number 1101 in binary is equivalent to 13 in decimal. To convert from binary to decimal, you multiply each digit by 2 raised to the power of its position from right to left, then sum the results.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Convert the binary number 1111 to decimal.

13

17

19

15

Answer explanation

To convert 1111 from binary to decimal, we use the formula: (1 * 2^3) + (1 * 2^2) + (1 * 2^1) + (1 * 2^0) = 8 + 4 + 2 + 1 = 15. Therefore, the correct answer is 15.

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the binary equivalent of the decimal number 25?

11100

10101

11001

10011

Answer explanation

The correct binary equivalent of 25 in decimal is 11001, which matches the option '11001'.

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the value of the number 10001 in the decimal number system?

11

15

17

23

Answer explanation

The number 10001 in decimal system equals 17. This is the correct choice among the options provided.

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Convert the number 0101 from binary to decimal.

11

5

100

10

Answer explanation

To convert 0101 from binary to decimal, we use the formula: (1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (0 * 2^0) = 10

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