Question

Identify the number system for the following numbers
1. (1010)₁₀
2. (1010)₂
3. (989)₁₆
4. (750)₈
5. (926)₁₀

Answer 1

The number system for each option is as following:

1) Decimal Number System

2) Binary Number System

3) Hexadecimal Number System

4) Octal Number System

5) Decimal Number System


Explanation for every number system:

Binary Number System

A Binary number system has only two digits that are 0 and 1. Every number (value) represents with 0 and 1 in this number system. The base of binary number system is 2, because it has only two digits.

Octal number system

Octal number system has only eight (8) digits from 0 to 7. Every number (value) represents with 0,1,2,3,4,5,6 and 7 in this number system. The base of octal number system is 8, because it has only 8 digits.

Decimal number system

Decimal number system has only ten (10) digits from 0 to 9. Every number (value) represents with 0,1,2,3,4,5,6, 7,8 and 9 in this number system. The base of decimal number system is 10, because it has only 10 digits.

Hexadecimal number system

A Hexadecimal number system has sixteen (16) alphanumeric values from 0 to 9 and A to F. Every number (value) represents with 0,1,2,3,4,5,6, 7,8,9,A,B,C,D,E and F in this number system. The base of hexadecimal number system is 16, because it has 16 alphanumeric values. Here A is 10, B is 11, C is 12, D is 13, E is 14 and F is 15.

Answer 2

The first one is decimal number system.

The second option comes under binary number system.

The third option falls under hexadecimal number system.

The fourth comes in octal number system.

And the last one comes under decimal number system.

A decimal number system as 10 digits that start from 0 and ends with 9.

Therefore, 1st and 5th falls under that category.