Number Systems

Question 1

What is the difference between analogue and digital signals

Answer 1

Analogue is continuous
Digital is descrete

Question 2

Advantage of Digital and Analogue

Answer 2

Analogue - better resolution
Digital - less affected by noise

Question 3

How many numbers can be reprented with 3 bits?

Answer 3

8 numbers.

2^N

Question 4

How many bits in a byte?

Answer 4

8 bits per byte.

Question 5

In the Signed Magnitude System, what indicates a positive number?

Answer 5

0 indicates a positive number.

1 indicates a negative number.

Question 6

Calculate the 1’s Complement of 00100110

Answer 6

11011001

Question 7

Calculate the 2’s Complement of 00100110

Answer 7

11011010

Question 8

Find the 2’s Complement of 01110110

Answer 8

10001010

Question 9

Find the 2’s Complement of 11111111

Answer 9

00000001

Question 10

Find the 2’s Complement of 00111110

Answer 10

11000010

Question 11

Find the 2’s Complement of 00000000

Answer 11

00000000

Question 12

How do you add two binary numbers?

Answer 12

Add in their original form.

Question 13

How do you subtract two binary numbers?

Answer 13

Convert the number you are subtracting to 2’s complement and add.

Question 14

Define Fixed Point Number Representation

Answer 14

A specific number of bits is reserved to represetna a ragne of values with a certain precision.

Question 15

What is the advantage of Floating Point Representation over Fixed Point?

Answer 15

Wider range of numbers due to the exponent part.

Question 16

What is the largest exponent which can be represnted with Floating Point Representation?

Answer 16

255 - 127 = 128

Question 17

What is the smallest exponent that can be represented with Floating Point representation?

Answer 17

-127

Question 18

Convert 7.8125 to floating point

Answer 18

0 10000001 11110100000000000000000

Question 19

Convert 1 10010000 11100000000000000000000 to decimal.

Answer 19

-245 760

Question 20

Can 299 792 459 be represented within 2 decimals of precision in floating point?

Answer 20

1 00011101 11100111100001001010

The mantissa is 23 digits. This requires 28. The last 5 are cut off. Within 2 decimals.

Question 21

Convert 23 base 10 to binary.

Answer 21

10111

Question 22

Convert 73 base 10 to binary.

Answer 22

1001001

Question 23

Convert 1001001 to decimal.

Answer 23

73

Question 24

Convert 10111 to decimal.

Answer 24

23

Question 25

Convert 92 base 10 to Octal

Answer 25

134

Question 26

Convert 134 base 8 to decimal.

Answer 26

92

Question 27

Convert 92 base 10 to Hex

Answer 27

2D6

Question 28

Convert 2D6 to Decimal

Answer 28

92

Question 29

Convert 392 to Coded Binary Decimal

Answer 29

0011 1001 0010

Question 30

Convert 0011 1001 0010 to Decimal

Answer 30

392

Question 31

What is ASCII

Answer 31

7 bit alphanumeric code to represent alphabet and specials.

Question 32

Convert 1A53 base 16 to decimal

Answer 32

6739

Question 33

Convert 11011 to decimal

Answer 33

27

Question 34

Convert 12D base 16 to binary

Answer 34

100101101

Question 35

Convert 21 base 8 to binary

Answer 35

10001

Question 36

Convert 101101 base 2 to Octal

Answer 36

55

Question 37

Convert 67 base 10 to Octal

Answer 37

103

Question 38

Convert 1111001 to Hex

Answer 38

79

Question 39

Convert 87 base 10 to hex

Answer 39

57

Question 40

Solve the following:
0110 + 1010

Answer 40

00010000

Question 41

Solve the following:
1100 + 1101

Answer 41

1001

Question 42

Convert decimal to floating point: 129.5625

Answer 42

0 10000110 00000011001000000000000

Question 43

Convert 9D to binary

Answer 43

1001 1101