Hexadecimal Numbers

       
           

Numbers having base value 16 are known as hexadecimal numbers. In other words we can say that it uses 16 symbols to represent any particular value. All 16 values are given as: 0 to 9 and after 9, they are represented by alphabets. We can write these number as:

10 – A, 11 – B, 12 – C, 13 – D, 14 – E and 15 – F

Suppose we have hexadecimal number as: 3BE4, in decimal form we can write it as:

(3 x 163) + (11 x 162) + (14 x 161) + (3 x 160), on further solving we can write this number as:

→ (3 x 4096) + (11 x 256) + (224) + (3), now add all given values we get:

→ 12288 + 2816 + 224 + 3 = 15331.

As we know that every hexadecimal number is denoted by four binary digits and one hexadecimal digit denoted by a nibble
that is half of an octet (we can say that 8 bits). Generally it is used to denote a computer memory address.
Now we will see how to convert binary number to hexadecimal number.

Suppose we have some digits i.e. (01011110101101010010)2?

Solution: To convert binary number to hexadecimal number first make pair of four terms and then directly put the value of hexadecimal number. So we can write the number as:
0101: We can write this value as 5 directly. In the same way we can write all these given values as:

1110 = E

1011 = B

0101 = 5

0010 = 2

Now combine all the terms. So we can write above values as: (5EB52)16. In this way we can convert any binary number to hex numbers. This is all about hexadecimal number system. 

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