BINARY AND OTHER NUMBERING SYSTEMS

Question 1

WHAT ARE EVERYDAY NUMBERS IN?

Answer 1

BASE 10

Question 2

HOW DO YOU COUNT UP TO THE NUMBER NINETY-NINE?

Answer 2

BY REPEATEDLY ADDING ONE TO THE UNITS COLUMN UNTIL NINE IS REACHED.
THEN BEGIN AT ZERO AGAIN
ADDING ONE TO THE TENS COLUMN

Question 3

NUMBERING SYSTEMS

WHAT IS BINARYS BASE?

Answer 3

2

Question 4

NUMBERING SYSTEMS

WHAT ARE BINARYS DIGITS?

Answer 4

0,1

Question 5

NUMBERING SYSTEMS

WHAT IS OCTALS BASE?

Answer 5

8

Question 6

NUMBERING SYSTEMS

WHAT ARE OCTALS DIGITS?

Answer 6

0,1,2,3,4,5,6,7

Question 7

NUMBERING SYSTEMS

WHAT IS DECIMALS BASE?

Answer 7

10?

Question 8

NUMBERING SYSTEMS

WHAT ARE DECIMALS DIGITS?

Answer 8

0,1,2,3,4,5,6,7,8,9

Question 9

NUMBERING SYSTEMS

WHAT IS HEXADECIMALS BASE?

Answer 9

16

Question 10

NUMBERING SYSTEMS

WHAT ARE HEXADECIMALS DIGITS?

Answer 10

0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F

Question 11

BINARY

WHAT IS BINARY?

Answer 11

A NUMBER SYSTEM THAT ONLY USES TWO DIGITS
1 AND 2

Question 12

BINARY

WHAT IS BINARY BASED ON?

Answer 12

SWITCHES AND VALVES THAT HAVE TWO STATES
ON AND OFF
OPEN OR CLOSED

Question 13

BINARY

HOW IS COMPUTER INFORMATION PROCESSED?

Answer 13

INFORMATION PROCESSED BY A COMPUTER IS IN THE FORM OF A SEQUENCE OF ONES AND ZEROS.

Question 14

BINARY

WHAT MUST WE DO FOR INFORMATION THAT IS TO BE PROCESSED BY A COMPUTER?

Answer 14

CONVERT ALL DATA INTO BINARY

Question 15

BINARY PLACE VALUES

2^7

Answer 15

128

Question 16

BINARY PLACE VALUES

2^6

Answer 16

64

Question 17

BINARY PLACE VALUES

2^5

Answer 17

32

Question 18

BINARY PLACE VALUES

2^4

Answer 18

16

Question 19

BINARY PLACE VALUES

2^3

Answer 19

8

Question 20

BINARY PLACE VALUES

2^2

Answer 20

4

Question 21

BINARY PLACE VALUES

2^1

Answer 21

2

Question 22

BINARY PLACE VALUES

2^0

Answer 22

1

Question 23

BINARY PLACE VALUES

2^-1

Answer 23

0.5

Question 24

BINARY PLACE VALUES

2^-2

Answer 24

0.25

Question 25

# OCTAL WHAT DOES BASE 8 MEAN?

Answer 25

THE SYSTEM ONLY USES 8 DIGITS FROM 0-7

Question 26

# OCTAL WHAT IS IMPORTANT TO NOTE ABOUT THE PHYSICAL MEANING OF OCTAL NUMBERS?

Answer 26

THAT THE NUMBERS FROM 0-7 HAVE THE SAME PHYSICAL MEANING AS THAT OF DECIMAL NUMBERS

Question 27

# OCTAL WHAT IS OCTAL USED BY?

Answer 27

OCTAL IS ANOTHER SYSTEM USED BY COMPUTERS WHEN THEY SENF INFORMATION.

Question 28

# OCTAL PLACE VALUES 8^7

Answer 28

2, 097, 152

Question 29

# OCTAL PLACE VALUES 8^6

Answer 29

262, 144

Question 30

# OCTAL PLACE VALUES 8^5

Answer 30

32, 768

Question 31

# OCTAL PLACE VALUES 8^4

Answer 31

4, 096

Question 32

# OCTAL PLACE VALUES 8^3

Answer 32

512

Question 33

# OCTAL PLACE VALUES 8^2

Answer 33

64

Question 34

# OCTAL PLACE VALUES 8^1

Answer 34

8

Question 35

# OCTAL PLACE VALUES 8^0

Answer 35

1

Question 36

# OCTAL HOW TO WORK OUT AN OCTAL NUMBER

Answer 36

1. 237₈ 2. 2 x 8 ² = 128 (TWO FROM THE HUNDREDS COLUMN, 8 FROM THE SUBSCRIPT AS ITS AN OCTAL NUMBER, TO THE POWER OF 2) 3. + 3 x 8 ¹ = 28 (THREE FROM THE TENS COLUMN, 8 FROM THE SUBSCRIPT AS ITS AN OCTAL NUMBER, TO THE POWER OF 1) 4. + 7 x 8⁰ = 7 (SEVEN FROM THE UNITS COLUMN, 8 FROM THE SUBSCRIPT AS ITS AN OCTAL NUMBER, TO THE POWER OF 0) 5. 128 + 24 + 7 = 159₁₀ (SUBSCRIPT 10 AS IT IS NOW IN A BASE 10 DECIMAL

Question 37

# HEXADECIMAL WHAT IS HEXADECIMAL?

Answer 37

HEXADECIMAL IS A BASE 16 NUMBERING SYSTEM.

Question 38

# HEXADECIMAL WHAT IS THE HEXADECIMAL SYSTEM MADE UP OF?

Answer 38

* 16 DIGITS * 0-9 * AND LETTERS * A-F

Question 39

# HEXADECIMAL WHY DOES THE HEXADECIMAL SYSTEM USE LETTERS?

Answer 39

* THE TEN DIGITS USED IN THE DECIMAL SYSTEM ARE NOT SUFFICIENT * LETTERS ARE USED TO REPRESENT THE VALUES * 10,11,12,13,14,15

Question 40

WHAT DOES ₁₀ MEAN?

Answer 40

DECIMAL

Question 41

WHAT DOES ₈ MEAN?

Answer 41

OCTAL

Question 42

WHAT DOES ₁₆ MEAN?

Answer 42

HEXADECIMAL

Question 43

WHAT DOES ₂ MEAN?

Answer 43

BINARY

Question 44

WHAT ARE THE 4 NUMBERING SYSTEMS?

Answer 44

* BINARY * OCTAL * DECIMAL * HEXADECIMAL

Question 45

# HEXADECIMAL PLACE VALUES 0

Answer 45

0

Question 46

# HEXADECIMAL PLACE VALUES 1

Answer 46

1

Question 47

# HEXADECIMAL PLACE VALUES 2

Answer 47

2

Question 48

# HEXADECIMAL PLACE VALUES 3

Answer 48

3

Question 49

# HEXADECIMAL PLACE VALUES 4

Answer 49

4

Question 50

# HEXADECIMAL PLACE VALUES 5

Answer 50

5

Question 51

# HEXADECIMAL PLACE VALUES 6

Answer 51

6

Question 52

# HEXADECIMAL PLACE VALUES 7

Answer 52

7

Question 53

# HEXADECIMAL PLACE VALUES 8

Answer 53

8

Question 54

# HEXADECIMAL PLACE VALUES 9

Answer 54

9

Question 55

# HEXADECIMAL PLACE VALUES 10

Answer 55

A

Question 56

# HEXADECIMAL PLACE VALUES 11

Answer 56

B

Question 57

# HEXADECIMAL PLACE VALUES 12

Answer 57

C

Question 58

# HEXADECIMAL PLACE VALUES 13

Answer 58

D

Question 59

# HEXADECIMAL PLACE VALUES 14

Answer 59

E

Question 60

# HEXADECIMAL PLACE VALUES 15

Answer 60

F

Question 61

# HEXADECIMAL WHEN IS HEXADECIMAL NUMBERING SYSTEM USED?

Answer 61

BY PROGRAMMERS TO SIMPLIFY THE BINARY NUMBERING SYSTEM

Question 62

# HEXADECIMAL HOW IS 16 EQUIVALENT TO 2⁴?

Answer 62

* 2√16=4 * 4 X 4 = 16 * THERE IS A LINEAR RELATIONSHIP BETWEEN 2 AND 16

Question 63

# HEXADECIMAL WHAT IS THE RELATION BETWEEN HEXADECIMAL AND BINARY?

Answer 63

* EACH PLACE IN A HEXADECIMAL NUMBER REPRESENTS UP TO FOUR PLACES IN A BINARY NUMBER * THE BINARY NUMBERS 0 - 1111 ARE REPRESENTED BY 0 TO F

Question 64

# HEXADECIMAL WHAT PROGRAMMES ARE HEXADECIMAL USED IN?

Answer 64

* COLOUR REFERENCES * ASSEMBLY LANGUAGE PROGRAMMES * ERROR MESSAGES

Question 65

# HEXADECIMAL PLACE VALUES 16⁷

Answer 65

268, 435, 456

Question 66

# HEXADECIMAL PLACE VALUES 16⁶

Answer 66

16 777 216

Question 67

# HEXADECIMAL PLACE VALUES 16⁵

Answer 67

1 048 576

Question 68

# HEXADECIMAL PLACE VALUES 16⁴

Answer 68

65 536

Question 69

# HEXADECIMAL PLACE VALUES 16³

Answer 69

4096

Question 70

# HEXADECIMAL PLACE VALUES 16²

Answer 70

256

Question 71

# HEXADECIMAL PLACE VALUES 16¹

Answer 71

16

Question 72

# HEXADECIMAL PLACE VALUES 16⁰

Answer 72

1

Question 73

# HEXADECIMAL HEXADECIMAL IS A PLACE VALUE SYSTEM; WHAT DOES THAT MEAN?

Answer 73

* EACH PLACE REPRESENTS A POWER OF 16 * THE PLACE REPRESENTS A POWER OF 10 IN THE DECIMAL SYSTEM