Number Systems

Question 1

What is the base of the decimal number system?

Answer 1

10

Question 2

What is the base of the binary number system?

Answer 2

2

Question 3

What is the base of the octal number system?

Answer 3

8

Question 4

What is the base of the hexadecimal number system?

Answer 4

16

Question 5

What digits are used in the hexadecimal number system?

Answer 5

0–9 and A–F

Question 6

What digits are used in the octal number system?

Answer 6

0–7

Question 7

What is the 1’s complement of a binary number?

Answer 7

It is the binary number obtained by flipping all bits (0 to 1 and 1 to 0)

Question 8

What is the 1’s complement of 1010?

Answer 8

0101

Question 9

What is the 2’s complement of a binary number?

Answer 9

It is the 1’s complement plus 1

Question 10

What is the 2’s complement of 0010?

Answer 10

1110 (if using 4 bits)

Question 11

What is the main use of 2’s complement in binary systems?

Answer 11

To represent negative numbers

Question 12

What does BCD stand for?

Answer 12

Binary Coded Decimal

Question 13

What is the BCD representation of the decimal number 7?

Answer 13

111

Question 14

What is the BCD representation of the decimal number 59?

Answer 14

0101 1001

Question 15

What is the purpose of using BCD in digital systems?

Answer 15

To simplify the display of decimal digits on digital devices

Question 16

What is the number system most commonly used in digital electronics?

Answer 16

Binary

Question 17

What is the difference between binary and BCD?

Answer 17

Binary represents whole numbers in base 2, while BCD represents each decimal digit in binary separately