Number System

Question 1

There are 3 types of number systems

Answer 1

Binary(n2)
Decimal (n10)
Hexadecimal (n16)

Question 2

Define a binary system

Answer 2

It is a 2 number based system of 0 and 1 where 0 is off and 1 is on.
The word bi tells us it’s two.

Question 3

Define a decimal system

Answer 3

It’s is a 10 based system determined by the word deci=1/10, 10m=1m and decade=10. This tells us that it’s a ten based system with 10 different numbers from 0 to 9.

Question 4

Define a Hexadecimal system

Answer 4

It is a 16 based system determined by the word hexa which tells that its 6 and deci which equals 10,so 6 plus 10 equals 16. Where 10 are the numbers from 0 to 9 and 6 are the number 10 to 15 is represented with the letters A to F.

Question 5

Binary to decimal

Answer 5

Place values actual values that added when they are on

Question 6

Hexadecimal to binary

Answer 6

Divide up hexadecimal into 2 separate numbers that fall under 8 4 2 1
The numbers that make up the separate hex number are on and the rest off

Question 7

Decimal to binary

Answer 7

Place values actual numbers that make up the decimal are on and the rest are off.

Question 8

Decimal to hexadecimal

Answer 8

Convert to binary
Divde binary into 2 groups with 8 4 2 1
Numbers that are on in separate groups are added
Final number from both groups are put together however not added.

Question 9

Decimal to hexadecimal

Answer 9

Binary
8421

Question 10

Binary to hexadecimal

Answer 10

8 4 2 1

Question 11

Hexadecimal to decimal

Answer 11

Place values of 16 and not 2