Importance of Discrete Mathematics in Digital world

Discrete Mathematics and Digital Computers are having relation with each other. The word “Digital” is also taken from the same fact. Below you can find its explanation-

Discrete mathematics is very simple really. It just means that we’re only talking about whole numbers, or more accurately, things that can be counted.

So 0, 1, 2 and 3 are all part of discrete mathematics. The same goes for -1, -2, -3 and so on. How about 1.3, 36.9, -9.99 or 3.14? Well, they do not exist when talking about discrete mathematics. They are simply ignored. This actually makes the math much easier.

A continuous function (sine wave) may look like this:

while a discrete function (square wave) might look like this:

In the world of computers, all the information is stored in bits, units of information that can take the value of either 0 or 1. It’s not like in nature, where something can take all the values in between 0 and 1 as well. Instead, everything is binary.

Since the bits are the building blocks of everything that happens in computer software, everything becomes discrete. For instance, the hard drive on the laptop I’m using right now can store 1 845 074 329 600 bits of information. Not 1 845 074 329 599.99, but exactly that number. You can’t have half a bit.

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s