Chapter 1 Exploring Number Systems and Codes

Explain the binary number system and its significance in computing.

• The binary number system uses letters A-F to represent values.

• The binary number system is a base-2 system using 0s and 1s, crucial for computing as it represents the on/off states of electronic circuits.

• The binary number system is irrelevant to modern computing technologies.

• The binary number system is a base-10 system using digits 0-9.

How do you convert the octal number 17 to decimal?

• 12

• 14

• 16

• 15

What is the hexadecimal equivalent of the decimal number 255?

• FE

• FF0

• FF

• F0

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

• 1110

• 0010

• 1100

• 0011

How do you convert the octal number 25 to binary?

• 010101

• 001010

• 100101

• 010010

What is the binary equivalent of the decimal number 10?

• 1001

• 1100

• 1110

• 1010

How do you convert the hexadecimal number 1A to decimal?

• 24

• 26

• 28

• 30

Convert the binary number 111000 to decimal.

• 48

• 60

• 56

• 32

How do you convert the octal number 34 to binary?

• 011100

• 100110

• 001110

• 011110

What is the two's complement of the binary number 1010?

• 1110

• 0110

• 0101

• 1010