**Option 1 **

Question 1:

Which decimal number in binary notation is written as 1000?

1) 17

2) 13

3) 26

4) 8

Question 2:

How is the number 14 written in binary notation?

1) 1111

2) 1010

3) 1110

4) 1000

Question 3:

How many units are there in the binary notation of the number 37110?

1) 7

2) 6

3) 3

4) 4

Question 4:

A number written in the Roman number system CDX is equal to:

1) 610

2) 410

3) 510

4) 730

Question 5:

Multiply two numbers in binary notation 110112*1012

1) 10000111

2) 11111111

3) 11011101

4) 10011111

Question 6:

Add two numbers in binary number system 10112+112

1) 1000

2) 1110

3) 1101

4) 1001

Question 7:

Translate the number 101.12 into the decimal number system:

1) 5,5

2) 6,5

3) 5,2

4) 6,2

Question 8:

The set of signs by which numbers are written is called:

1) a number system

2) digits of a number system

3) alphabet of a number system

4) base of numeration system

**Option 2**

Question 1:

Which decimal number is written as 1011 in the binary number system?

1) 11

2) 13

3) 26

4) 8

Question 2:

How is the number 15 written in binary notation?

1) 1111

2) 1010

3) 1110

4) 1000

Question 3:

How many units are there in the binary notation of the number 16110?

1) 7

2) 6

3) 3

4) 4

Question 4:

The number written in the Roman numeral system DCX is equal:

Choose one of 4 answers:

1) 610

2) 410

3) 510

4) 730

Question 5:

Multiply two numbers in binary notation 10112*112

1) 100001

2) 111111

3) 110111

4) 100111

Question 6:

Add two numbers in binary notation 110112+1012

1) 100000

2) 111111

3) 110111

4) 100111

Question 7:

Select the correct number 21310 in expanded form

1) 3∙102+1∙101+2∙100

2) 2∙103+1∙102+3∙101

3) 2∙102+1∙101+3∙100

Question 8:

To convert an integer decimal number from one number system to any other number system using the following method

1) adding the number to be converted to the base of the new number system

2) dividing the converted number by the base of the new number system

3) multiplication of a converted number with the base of the new number system

4) replacement of each digit of a converted fraction with its equivalent in the new number system.

**Answers****:**

| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |

O1 | 4 | 3 | 2 | 2 | 1 | 2 | 1 | 1 |

O2 | 1 | 1 | 3 | 1 | 1 | 1 | 3 | 2 |