#digital ?? Number System?? someone explain???

Question

Find equivalent decimal value for (E3)₁₆

_{Ans given :-227 explain someone ??}

Answer 1

In base 16,

Digit	Value
0	0
1	1
2	2
3	3
4	4
5	5
6	6
7	7
8	8
9	9
A	10
B	11
C	12
D	13
E	14
F	15

So, E3 = 14*16^1 + 3*16^0 = 14*16 + 3*1 = 224 + 3 = 227

^ is exponentiation.

Answer 2

for hexadecimal number range of valid number is 0-9 after for 10-15 it wil be treated as A,B,C,D,E,F respectivley.

so using this we simply convert given number that is (E3) base 16 into binary number as group of 4 digit which is;

(E3)base 16= 1110 0011

while coverting it into decimal it simply give 227