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Information Representation in a Computer

Information Representation in a Computer

Understand how information is represented in a computer.

All the data in a computer, such as numbers, text, and images, is stored in binary. Binary is a number system. It has two digits: one and zero.

A binary digit is called a bit.

We will now explain how a computer stores different forms of data in binary.

Representing numbers in binary

A bit can have two values: zero or one. A bit is said to be on if it has a value of one, and it is said to be off if it has a value of zero. To represent a number greater than one, you can use a collection of bits.

In the illustration below, notice that each number is twice the number to its right.

Each number in the boxes above is represented by a bit. Suppose we have 1001 in binary. 1001 in binary means that the bit corresponding to 8 is on, the bits corresponding to 4 and 2 are off, and the bit corresponding to 1 is on. When you add all the numbers for which the bit value is 1, you get 9 in the decimal system!

In general, to find the decimal equivalent of a binary number, add all the numbers whose corresponding bits are one.

We can also convert numbers in the decimal system to binary. The illustration below explains how we can find the binary equivalent of twelve.

In general, to convert a number from decimal to binary, express it as a sum of powers of 2 (e.g. 27=2 ...