03 Binary Representation

Question 1

What is a bit?

Answer 1

A binary digit, the smallest unit of data in computing, represented by a 0 or a 1.

Question 2

What is a byte?

Answer 2

A group of 8 bits.

Question 3

What is binary?

Answer 3

A numbering system using the digits 0 and 1, also called Base-2.

Question 4

How do you convert from binary to denary?

Answer 4

By calculating the sum of powers of 2 for each bit position.

Question 5

Convert the binary number 0110 0111 to denary.

Answer 5

103

Question 6

What is denary/decimal?

Answer 6

A numbering system with 10 symbols: 0123456789, also called Base-10.

Question 7

What is hexadecimal?

Answer 7

A numbering system with 16 symbols: 0123456789ABCDEF, also called Base-16.

Question 8

What is the purpose of hexadecimal?

Answer 8

To represent very large numbers quickly, such as those used in colour representation.

Question 9

What is the truth table for AND?

Answer 9

A · B results in 1 only if both A and B are 1.

Question 10

What is the truth table for OR?

Answer 10

A + B results in 1 if at least one of A or B is 1.

Question 11

What is the truth table for NOT?

Answer 11

A’ is 1 when A is 0 and vice versa.

Question 12

What is the truth table for NAND?

Answer 12

(A · B)’ results in 1 unless both A and B are 1.

Question 13

What is the truth table for NOR?

Answer 13

(A + B)’ results in 1 only if both A and B are 0.

Question 14

What is the truth table for XOR?

Answer 14

A + B results in 1 only if A and B are different.

Question 15

Fill in the blank: Denary is also known as _______.

Answer 15

Base-10

Question 16

Fill in the blank: Hexadecimal is also known as _______.

Answer 16

Base-16

Question 17

What are the different representations of data in a computer?

Answer 17

1) String (e.g., ‘I love Java’)
2) Integer (e.g., 12, 43, 2535)
3) Characters (ASCII and Unicode)
4) Colours (Hex)

Question 18

What is the purpose of a truth table?

Answer 18

To show the function of a logic gate.

Question 19

What does the Boolean operator AND do?

Answer 19

Returns true if both operands are true.

Question 20

What does the Boolean operator OR do?

Answer 20

Returns true if at least one operand is true.

Question 21

What does the Boolean operator NOT do?

Answer 21

Inverts the truth value of the operand.

Question 22

What does the Boolean operator NAND do?

Answer 22

Returns true unless both operands are true.

Question 23

What does the Boolean operator NOR do?

Answer 23

Returns true only if both operands are false.

Question 24

What does the Boolean operator XOR do?

Answer 24

Returns true if the operands are different.