What's the difference between binary system and decimal system?

Answer 1

The numbering system works on the logic that after you reach a level the system resets back to the start, like a loop.

The only difference in the loop is you add a "quotient" which increments in the same number system but for each full loop of the number before it.

In decimal the number starts from 0 and goes upto 9 and after that it becomes 10. Which means 1 step above and least digit starts from 0.

However in binary, there are only two numbers 0 and 1. So the counting would be like this
0
1
10
11
100

If you observe after 0 and 1, the next level starts at 1 and once again resets to 0 as the subsequent level starts at 1.

Hope I was able to explain clearly!!

.:Fishie:.

Answer 2

Binary Vs Decimal

Answer 3

The Decimal System is the system we use. It's base number is 10 (ie. it has 10 nos). But the Binary System is a system used by the computer. It is called as Binary because it has only 2 nos (0 & 1). In Decimal system 1 + 1 = 2.
But in Binary System 1 + 1 = 11

All the input you give to the computer gets executed in Binary Form. Eg

the number 1110010101 in decimal system corresponds to 917 in Decimal System. This is done by using 8421 code.

IF YOU ARE INTERESTED IN KNOWING OF CONVERSION BETWEEN THE TWO, THEN PROCEED OR ELSE SKIP THE REST OF THE ANSWER

In this code, You name the right most (ones term) digit as 1. The next digit (tens digit) is the double of the before term. Therefore the tens digit will be named 2 and the hundredth digit as 4,etc...

Therefore the digit 10110011 will be named as

NAME 128 64 32 16 8 4 2 1

DIGIT 1 0 1 1 0 0 1 1

Now you need to add the names corresponding to the digit 1
Therefore The number given will be equal to = 128+32+16+2+1
= 179

The same rule can be used to convert any binary digit to decimal

The decimal can be converted to binary in this form:

Suppose you are given the number 9754. The first step is to split these nos into digits and divide each digit by 2

9/2 -> Q4 & Remainder 1
7/2 -> Q3 & R1
5/2 -> Q2 & R1
4/2 -> Q2 & R0
Final Result = 1

Now starting from the Final result join (not add) the digits one by one. The number formed is 10111. Therefore the number 9754 in decimal system corresponds to 10111 in decimal system.

The two ways of converting are always true for any numbers in either systems.

Answer 4

Because we are limited at this time by electronic systems that use on/off as the only way to store information. Engineers use the digital system for everything but computers, and for those they use the octal(8) and hexadecimal(16) system too. A silly example of other systems are the British/American measurements, just ask anyone how many inches and yards in a mile, teaspoons in a gallon, and why a ton is the same in metric and US standards. Nature does the binary system (male/female) along with any others it can find (DNA could be viewed numerologically) Because a person has ten fingers, the decimal system comes naturally and is easy to learn. Other number systems work as well but are a pain to learn, otherwise there is nothing wrong with them. (some code writers are able to do complex computations using either 2,8,16,or 10 based systems in their heads, it just takes practice)

Answer 5

Decimal system uses 10 digits (0 - 9)
Binary system uses 2 digits (0 and 1)

For more info:
http://www.usbyte.com/common/binarysystem.htm

use this link to convert numbers from decimal to binary and vice versa

http://mistupid.com/computers/binaryconv.htm

Answer 6

This Site Might Help You.

RE:
What's the difference between binary system and decimal system?

Answer 7

the base of binary system is 2
where as the base of decimal system is 10