2. As far we have discussed two number systems
1. Decimal
Base 10
Ten Digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Example: 104510
2. Binary
Base 2
Two Digits: 0, 1
Example: 10101102
However there is a third essential number system named as
3. Hexadecimal Number System
POINT TO PONDER
-WHY HEXADECIMAL NUMBER SYSTEM WAS NEEDED?
3. Hexadecimal Number System
Base 16
Sixteen Digits: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F
Example: EF5616
0100 4
0101 5
0110 6
0111 7
0100 4
0101 5
0110 6
0111 7
4. Binary to Hex Conversion
1.Divide binary number into 4-bit groups
2.Substitute hex digit for each group
1 1 0 0 0 0 1 1 1 0 0
61C16
0
5. Hex to Binary Conversion
1.Convert each hex digit to equivalent binary
(1 E 9 C)16
(0001 1110 1001 1100)2
6. Assignment
Check the answers of last conversion we did for decimal to binary or vice versa form the internet
All the answers must not be true
Same method is used for the conversion of hex to binary or vice versa
Now if you solve the same questions considering them base 16 to base 2 the method will work fine
and give right answers
Your task is to explain why we can’t use the similar method from both conversions
Do some brainstorming and come up with as many questions as possible tomorrow.