Exploring Number Systems

What is the base of the binary number system?

• 16

• 2

• 8

• 10

Convert the decimal number 10 to binary.

• 1001

• 1100

• 1010

• 1011

What is the base of the hexadecimal number system?

• 12

• 10

• 8

• 16

What is the binary representation of the decimal number 255?

• 11111111

• 11111100

• 11111110

• 11111000

Explain what a logical shift is in binary numbers.

• A logical shift is a method to convert binary numbers to decimal format.

• A logical shift adds one to the binary number without changing its position.

• A logical shift is an operation that reverses the bits in a binary number.

• A logical shift is an operation that moves bits left or right in a binary number, filling with zeros.

What is the result of a left logical shift on the binary number 1010?

• 1011

• 1100

• 10100

• 10010

How do you convert a binary number to its 2's complement?

• Invert the bits and add 1.

• Reverse the order of the bits.

• Subtract 1 from the binary number.

• Add 1 to the binary number directly.

What is the 2's complement of the binary number 1101?

• 1100

• 0011

• 0010

• 1110

Perform binary addition on 1011 and 1100.

• 10011

• 1110

• 1010

• 10111

What is the result of adding the binary numbers 111 and 101?

• 1110

• 1001

• 1011

• 1100