Binary

Question 1

What are the ones and zeros called?

Answer 1

Bits

Question 2

What is P and A?

Answer 2

Presence and Absence

Question 3

What can bits be used to represent?

Answer 3

Numbers, words, images and sounds

Question 4

What is the general rule with bits?

Answer 4

In general with n bits we can represent 2^n symbols

Question 5

What are bytes?

Answer 5

A string of 8 bits (2^8)

Question 6

How many bits are required to represent our alphabet?

Answer 6

7 bits (2^7=128)

Question 7

What is ASCII?

Answer 7

American standard code for information interchange

Question 8

In ASCII with 7 bit, how can you identify a lowercase letter?

Answer 8

There is a 1 on the third bit

Question 9

How many symbols does a hexadecimal system have?

Answer 9

16

Question 10

How many bits are required in a hexadecimal system?

Answer 10

4 bits (2^4)

Question 11

How many bytes are in 1KB?

Answer 11

1024 (2^10) bytes

Question 12

How many KB are in 1MB?

Answer 12

1024(2^10)KB

Question 13

How many symbols does the denary system have?

Answer 13

10 symbols

Question 14

How does the denary system work?

Answer 14

Each place value to the left is ten times the previous place value

Question 15

How many symbols does the binary system have?

Answer 15

2

Question 16

How does the binary system work?

Answer 16

Each place value to the left is two times the previous place value

Question 17

How do you show it is a Denary number?

Answer 17

Using the subscript of 10

Question 18

What’s the method for converting denary to binary?

Answer 18

Take away the highest bit and work down

Question 19

What’s the method for subtracting binary numbers?

Answer 19

If a number is borrowed to make “10” then the subtraction equals 1

Question 20

What is ten’s compliment method?

Answer 20

Subtract the smallest value from the next highest power of ten and then add the original larger value. Then ignore the first digit

Question 21

What is two’s compliment method?

Answer 21

1. Flip every number in the second value
2. Add 1 to get twos compliment
3. Add twos compliment to the first number
4. Disregard the leading number

Question 22

How do you represent negative values with twos comp?

Answer 22

Flip the digits and add 1

Question 23

How can you tell its a negative value?

Answer 23

It begins with a 1

Question 24

How do binary fractions work?

Answer 24

Its the bit to the negative power (keep halfing it)

Question 25

What happens with decimals due to a fixed number of bits?

Answer 25

You are left with remainders

Question 26

What are the limitations of fixed point?

Answer 26

By using integer and fractional parts of a real number its limiting

Question 27

What is the sign of FPN?

Answer 27

The sign at the front of the standard form

Question 28

What is the Mantissa of FPN?

Answer 28

The number in the standard form?

Question 29

What is the Exponent of FPN?

Answer 29

The power of the standard form

Question 30

How is the Exponent affected in the binary FPN?

Answer 30

Binary instead is used for the power eg.111=7

Question 31

What does 1 as the sign represent in an 8 bit FPN?

Answer 31

-1

Question 32

How does excess 4 notation effect three bit exponent?

Answer 32

Shifts it by 4 positions

Question 33

What base is octal?

Answer 33

Base 8

Question 34

What base is hexadecimal?

Answer 34

Base 16

Question 35

How do you convert binary to octal?

Answer 35

1. Count to 7 using binary
2. Split the binary into 3 bit segments from the right
3. Count this and then multiply by the corresponding octal

Question 36

How do you convert octal to binary?

Answer 36

Convert each octal into a 3 bit binary number

Question 37

How many digits can you count to with 1 digit in hex?

Answer 37

15

Question 38

How many bits are needed to count to 15?

Answer 38

4

Question 39

How do you convert binary to hex?

Answer 39

Same as octal just use 4 bit segments instead