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# Understanding Data Types

As we have already seen in the previous lesson, the computer only understands binary i.e. the data stored in the Memory (RAM) is in binary form.

Here’s how we can imagine the Memory in a computer to be like the following.

We can see that each of the bytes has got a unique address.

Each digit of a byte is called a bit. A bit can only have two values either 0 or 1. Also  1 byte = 8 bits

When we declare a variable we reserve some amount of memory to store some data. The amount of memory to be reserved depends on the Data Type , The compiler and the machine architecture.  Now let’s look at the types of Data Type which are present and the amount of memory which is reserved for them.

The data types are basically divided into 3 types.

1.  Primitive data type:

• The data types which are built in data types and a user can use them directly to define a variable directly are called Primitive data types.
• Examples: Integer , Character, Boolean , Floating Point , Double , Void ( Valueless) , Wide Character.

2. Derived data type:

• The data types which are derived from primitive data types are known as Derived data types.
• Examples:Function , Array , Pointer , Reference

3. Abstract or User defined data type:

• The data types which are defined by the user itself are known as Abstract data types
• Examples: Class , Structure , Union , Enumeration , Typedef defined Datatype.

The below table shows the size and range of primitive data types.

Using the above table we can pretty much calculate the size of any program. Here are some of the examples.

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## Bit Manipulation Problems

Bit play
Problem Score Companies Time Status
Number of 1 Bits 200 8:47
Trailing Zeroes 200 14:49
Reverse Bits 225 23:50
Divide Integers 250 68:04
Different Bits Sum Pairwise 300 51:29
Bit tricks
Problem Score Companies Time Status
Min XOR value 200 37:42
Count Total Set Bits 200 63:58
Palindromic Binary Representation 200 60:55
XOR-ing the Subarrays! 200 33:32
Bit array
Problem Score Companies Time Status
Single Number 275 11:53
Single Number II 275 39:22

Problem Score Companies Time Status
Bit Flipping 200 21:31
Swap Bits 150 26:18
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