binary to Hexa conversion

1. Number
System
HEXADECIMAL

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.