what are binary numbers.?

Question

what are binary numbers

Answer 1

Numbers in base-2 maths (as compared to the base-10 maths we are familiar with) (decimal system,)

In base-10 the highest single-digit number is 9 (one less than the base) and in base-2 the highest single digit number is 1.(one less than the base) i.e. the only digits are 0 and 1

In base-10, 10 means one ten and no units and 100 means 1 hundred (ten squared) no tens and no units. Similar positional considerations mean that In base-2, 10 means one two and no units and 100 means 1 four (two squared) no twos and no units

The various powers of 2 underpin the system: 2. 4, 8, 16, 32, 64, 128, 256, 512, 1024 etc

Base-10 Base-2
1 1
2 10
3 11
4 100
5 101
6 110
7 111
8 1000
9 1001
10 1010
11 1011
12 1100
13 1101
14 1110
15 1111
16 10000

A good way to become familiar with binary maths is to play the game Nim with matchsticks, as the winning strategy is based on being able to do binary maths in your head,

Answer 2

They are numbers written with only the digits 1 and 0. See, we use what's called a base-10 numbering system, meaning that we have 10 digits--0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. After 9, we start making 2-digit numbers, such as 42. In the number 42, the first digit is the 10's place, and the fact that there's a 4 there means that 10 goes into 42 4 times. The second digit is the 1's place and the 2 there means that after you've taken out all the 10's, 1 goes into 42 twice.

So, OK, you learned all that in preschool. What's it got to do with binary numbers? Well, in a binary system, there are only two digits: 0 and 1. After 1, you have to start writing multiple-digit numbers. The place behind the 1's place is the 2's place, and behind that is the 4's place--powers of 2 rather than powers of 10 like we're used to. For instance, 42 would be written 101010 in binary. The first number is in the 32's place. The way to interpret this is that there is one 32, one 8 and one 2. (The 16,s, 4's, and 1's places have 0's in them.) Add 32, 8 and 2 and you get 42.

Binary is important because computers use it. They operate via switches with only two positions--on and off--which correspond to 0 and 1 in binary and allow them to record numbers.

Answer 3

Binary Numbers are numbers that just use 1 and 0. It is the language that computers talk in. The numbers we usally use are called denary numbers. You might remember from English class that the prefix de means ten and bi means two. Denary uses ten digits( 0,.1,2,3,4,5,6,7,8,9) and binary two( 0,1). Now you might be wondering what a binary number represents. You might know about exponents. In the denary system, there are ones, tens , hundreds, thousands etc. and they each represent 10^0, 10^1,10^2, 10 ^3. It is the same in the binary system. Each represents 2^0, 2^1, 2^2,2^3, 2^4 etc, which each represent 1,2,4,8 and 16. Now we go into addition, we add the numbers that have base 2, example 7= 1+2+4. and 7(denary)= 111(binary). There is another way to comprehend this. Think of the place values in the binary system as lights. If it is off, it represents 0, if it is on, it represents 1. Hope this helps!.

Answer 4

Normally we use decimal numbers, where the places represent powers of 10. That is, 103.4 = 1*10^2 + 0*10^1 + 3*10^0 + 4*10^(-1). Any number can be used in place of 10. Binary uses the number 2. This means the only digits needed to write any number are 0 and 1.

So, a number like 25 can be written as the sum of powers of 2:

25 = 16 + 8 + 1 = 1*2^4 + 1*2^3 + 0*2^2 + 0*2^1 + 1*2^0 = 11001 base 2, or binary.

While computers use binary numbers internally they are hard for people to work with, so usually programmers group them together in blocks of 3 or 4, to work in base 8 (octal) or base 16 (hexadeximal) (in base 16 the letters a, b, c, d, e, f are used to represent the numbers 10 to 15).

But in fact, bases do not need to be integral. There is some interesting stuff done with base pi and base e. They have a couple of major disadvantages though - for one, integers have infinite nonrepeating expansions, and some numbers can be represented in more than one way. (the only number with more than one representation as a decimal is 1 == 0.99999..., or anything else ending with all 9s).

And finally, it is possible to use other sequences for base besides power series. For instance, some work has been done in number theory using the fibonacci series as a base using the binary digits 0 and 1 - for instance, 25 = 1000101 = 1*21 + 0*13 + 0*8 + 0*5 + 1*3 + 0*2 + 1*1.

Probably more than you wanted to know.

Answer 5

A method of representing numbers in which only the digits 0 and 1 are used. Successive units are powers of 2. Also called binary system

Binary numbers are a number system made up of 0's and 1's. It is used in computers to represent information.


Explanation:

All information is stored in a computer in binary code. Each character or symbol consists of a combination of 0's and 1's. For example, the letter "A" is stored as 01000001.

Numbers stored in pure binary form. Within one byte (8 bits), the values 0 to 255 can be held. Two contiguous bytes (16 bits) can hold values from 0 to 65,535. See numbers and binary values.

Answer 6

Well, bi- is a prefix that means two, so a binary number system would be a system with two numbers, and that's exactly what it is. The numbers in question are 1 and 0. Binary is the code of the most basic computers. Why only two numbers? Because the only two things a machine could easily realize are: on (1) and off (0), like a light switch. What is facinating is the system is set up so that when you input a certain sequence of binary code, you get a result, like a charicter, and this accounts for everything about your computer. Gates and Jobs have my respect.

Answer 7

The binary numeral system (base 2 numerals) represents numeric values using two symbols, typically 0 and 1. More specifically, the usual binary numeral system is a positional notation with a radix of 2. Owing to its straightforward implementation in electronic circuitry, the binary system is used internally by virtually all modern computers.

Answer 8

To answer you I explain you some properties decimal number:
- You need ten symbols (0,1,2,3,4,5,6,7,8,9) and a period to represent all the number
- the combination of one and zero (10) has the value of ten
- the last symbol before the period has the value of 1
- the second symbol before the period has the value of ten
- the third symbol before the period has the value of ten *ten
- the first symbol after the comma has the value of one divided by ten.

decimal means 'basis ten'.




now I copy again my text replacing 'decimal' by binary and 'ten' by 'two':

- You need two symbols (0,1) and a period to represent all the number
- the combination of one and zero (10) has the value of two
- the last symbol before the period has the value of 1
- the second symbol before the period has the value of two
- the third symbol before the period has the value of two *two
- the first symbol after the comma has the value of one divided by two.

binary means 'basis two'

example :
the binary number 11011010
is 0 + 1*2 + 0*2*2 + 1*2*2*2 + 1*2*2*2*2 +0*2*2*2*2*2 +1*2*2*2*2*2*2 +1*2*2*2*2*2*2*2
it is the value represented by the decimal number 218.

Computer use a binary representation of number for following reason : It is easy to realize an elctrical circuit detecting two level of voltage (example with a small lamp):

0 if voltage < 0.3 V nothing happens
1 if voltage > 3.0V the lamp shine

Answer 9

Binary nubers are numbers with base 2
that is 2 to he power 0 and 1 ;2;3 and so on
thepower represents the number
to understand binary numbers
u need to understand how to convert base ten numbers.i.e. decimal numbers to binary

Answer 10

It is where you count, and you only have two digits to use. They are the digit zero and one.

The reason why this is even taught is because of the transistor as the basis of the computer. In theory you could have a ten digit computer microchip but in practice for years it was extremely unreliable.
However, the two digit microchip proved itself to be extremely reliable. Therefore all computers relied on binary chips that had math based on binary numbers.