Number System | MCQs

Explanation

Solution

• 13 ÷ 2 = 6, remainder 1

• 6 ÷ 2 = 3, remainder 0

• 3 ÷ 2 = 1, remainder 1

• 1 ÷ 2 = 0, remainder 1

Reading the remainders from bottom to top: 1101

So, 13 in binary = 1101.

Explanation

The binary numbering system is used in computing.

Binary system is used because it's the simplest counting method available. 

Explanation

Binary numbers are made up of only two digits: 0 and 1.

Only 1001 consists solely of 0s and 1s, making it a binary number.

Explanation

A number system that has eight different symbols to represent any quantity is known as Octal.

The Octal number system uses digits from 0 to 7.

It is often used in computing as a simpler alternative to binary representation.

Explanation

 Computers store data and instructions using binary digits, also known as bits.

Binary digits are represented as 0s and 1s

They are the fundamental building blocks of all data and instructions in digital computing.

Explanation

Octal numbers are base 8, meaning they use 8 distinct symbols: 0, 1, 2, 3, 4, 5, 6, and 7.

Explanation

• This is because 101.10111 is a decimal number in scientific notation, whereas the other options (101, 1011, and 0) are all binary numbers.
• In binary, the only digits used are 0 and 1, and there is no decimal point or scientific notation.

Explanation

To convert the hexadecimal number 1D7F₁₆ to a decimal number, we can break it down as follows:

• 1 in hexadecimal = 1 × (16^3) = 1 × 4096 = 4096
• D in hexadecimal = 13 × (16^2) = 13 × 256 = 3328
• 7 in hexadecimal = 7 × (16^1) = 7 × 16 = 112
• F in hexadecimal = 15 × (16^0) = 15 × 1 = 15

Now, sum these values:

4096 + 3328 + 112 + 15 = 7551

So, the decimal equivalent of 1D7F₁₆ is 7551.

Explanation

Hexadecimal is the name of the numbering system that is base 16