Computer Number Systems

Question 1

What number systems are commonly used when coding embedded systems?

Answer 1

Binary and Hexadecimal

These systems are essential for digital electronics and programming.

Question 2

What does the base of the Base Number System refer to?

Answer 2

It tells us how many unique digits there are in that number system

Question 3

What is the base value of Unsigned Binary?

Answer 3

Base 2 [0,1]

Question 4

What is the base value of Hexadecimal?

Answer 4

Base 16 [0-9 → A-F]

Question 5

What is the value of 10111?

Answer 5

16+4+2+1=23₁₀

Question 6

What is a Byte in terms of bits?

Answer 6

8 bits

Question 7

What is a Nibble in terms of bits?

Answer 7

4 bits

Question 8

What is a kB in terms of bytes and bits?

Answer 8

1024 bytes
8192 bits

Question 9

What is MB in term of bytes and bits?

Answer 9

1024x1024 bytes
8388608 bits

Question 10

What indicates an odd binary value?

Answer 10

A ‘1’ in its Least Significant Bit (LSB)

LSB is the bit at the end

Question 11

What indicates an even binary value?

Answer 11

A ‘0’ in its Least Significant Bit (LSB)

LSB is the bit at the end

Question 12

What is the process to convert Hexadecimal to Binary?

Answer 12

Divide the hex number into its digits, write the 4-bit binary value for each, and join them.

Question 13

What is the conversion of F2₁₆ to binary?

Answer 13

11110010

Question 14

How do you convert Binary to Hexadecimal?

Answer 14

Divide the binary number into 4-bit blocks, write the hex digit for each, and join them.

Question 15

What is the decimal equivalent of the hexadecimal value 3F₁₆?

Answer 15

63

Question 16

What do odd hexadecimal values have in their least significant digit position?

Answer 16

An odd hex digit (1, 3, 5, 7, 9, B, D, F)

Question 17

What do even hexadecimal values have in their least significant digit position?

Answer 17

An even hex digit (0, 2, 4, 6, 8, A, C, E)

Question 18

Is 0x4AC odd or even?

Answer 18

Even

Question 19

Is 0x4A1 odd or even?

Answer 19

Odd

Question 20

The word-length of a hexadecimal value is equal to …

Answer 20

4 x N bits, where N is the number of hexadecimal digits in the hexadecimal value

Examples:
* A3 is 4 x 2 bits = 8 bits = 1 byte
* BA4C is 4 x 4 bits = 16 bits = 2 bytes
* DDDDDDDD is 4 x 8 bits = 32 bits = 1 bytes

Question 21

How do you do binary addition?

Answer 21

Rules
1 + 0 = 1
1 + 1 = 0 carry 1
1 + 1 + carry = 1 carry 1

1011 + 0011 = 1110

Question 22

How do you do hexadecimal addition?

Answer 22

Just add the values together if it reaches F carry over 1