Number Systems

Question 1

Explain why computers process data in binary format.

Answer 1

Computers process data using logic gates that can only have two states (1/0)

Question 2

What is Denary?

Answer 2

Denary is a number system that is made up of 10 digits (0-9) and is referred to as a base-10 number system.

Question 3

What is binary?

Answer 3

Binary is a number system that is made up of two digits (1 and 0) and is referred to as a base-2 number system.

Question 4

What is hexadecimal?

Answer 4

Hexadecimal is a number system that is made up of 16 digits, 10 numbers (0-9) and 6 letters (A-F) and is referred to as a base-16 number system.

Question 5

3 Advantages of Hexadecimal

Answer 5

It takes fewer digits to represent a given value in hexadecimal than in binary.

The more bits there are in a binary number, the harder it makes for a human to read

Numbers with more bits are more prone to errors when being copied

Question 6

Uses of Hexadecimal

Answer 6

MAC addresses, Colour code, URLs, Error codes and IP Addresses

Question 7

0 + 0 =

Answer 7

0

Question 8

1 + 1 =

Answer 8

1 0

Question 9

1 + 1 + 1 =

Answer 9

1 1

Question 10

1 + 0 =

Answer 10

1

Question 11

0 + 1 =

Answer 11

1

Question 12

What is an overflow error?

Answer 12

An overflow error occurs when the result of a binary addition exceeds the available bits.

Question 13

What does a binary logical left shift do?

Answer 13

Double a number.

Question 14

What does a binary logical right shift do?

Answer 14

Half a number.

Question 15

What is two’s complement?

Answer 15

A method of using signed binary values to represent negative numbers.