MYTUTOR SUBJECT ANSWERS

305 views

How do you convert from binary to decimal?

Our conventional numbering system is based around the idea that we can represent any number with 10 different digits arranged in a specific order. Because of this, this is called a base-10 or decimal system. In binary, we can represent any number we want with only two different numbers a 1 or 0, so it is called a base-2 system. 

Let's look at an example, first in decimal.

The number 1234 can be broken down into:

1 x 4 +

10 x 3 +

100 x 2 +

1000 x 1

or alternatively

10x 4 +

10x 3 + 

102 x 2 +

103 x 1

From this we can see the evidence of a base 10 system, each time we look at the next digit, we increase the power of the multiplier.

 

So bearing this in mind, we can look at a binary number, made of just 1's and 0's, for example 0110.

Just as above, every time we look at teh next digit, we increase the power of the multiplier BUT binary is base-2...so:

2x 0 +

2x 1 +

22 x 1+

23 x 0

And adding all these numbers up lets you convert a binary number to decimal. So 0110 in decimal is 0+2+4+0 = 6!

James T. A Level Computing tutor, A Level Electronics tutor, A Level ...

2 years ago

Answered by James, an A Level Computing tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist

3 SUBJECT SPECIALISTS

£20 /hr

Kyle C.

Degree: Computer Science With Electronics (Bachelors) - Edinburgh University

Subjects offered: Computing, Physics+ 1 more

Computing
Physics
Maths

“Who am I?I am a student pursuing a Computer Science degree at the University of Edinburgh. I enjoy working on theatre lighting and am also a keen fencer which is where I initially started teaching by coaching younger fencers.Sessio...”

£20 /hr

Christopher P.

Degree: Computer Science (Bachelors) - Warwick University

Subjects offered: Computing, Maths+ 1 more

Computing
Maths
History

“About me: I am a Computer Science student currently studying at Warwick University. I've always had a passion throughout my education for Maths and Computing, as the vast array of ideas that you can bring to life through programming i...”

MyTutor guarantee

£24 /hr

Lauren G.

Degree: Technology Enhanced Learning (Masters) - Durham University

Subjects offered: Computing, Physics+ 2 more

Computing
Physics
Maths
ICT

“Hello! I'm currently a Master's student studying Technology Enhanced Learning at Durham University. I completed my undergrad last year in Natural Sciences with Maths and Computer Science, also from Durham.  I am very passionate about ...”

About the author

James T.

Currently unavailable:

Degree: Electronic Engineering (Masters) - Southampton University

Subjects offered: Computing, Physics+ 3 more

Computing
Physics
Maths
ICT
Electronics

“Enthusiastic engineer from a leading university ready to help!”

You may also like...

Posts by James

How do you convert from binary to decimal?

Why can't you hear any noise in space?

Other A Level Computing questions

What do the logical operators AND, OR, XOR and NOT do?

Describe a stack data structure.

What is Reverse Polish Notation?

What is the main difference between the Stack and the Queue abstract data types?

View A Level Computing tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok