## Count binary numbers and find the range of bit system?

In this post, you will learn about how to count binary numbers and how to find the range of different type of operating system.basic programming |

**F**irst of all, you need to know that we also called 0 and 1 to an off or on. So how do a 125 number representing in base two number in the bit system?

How we calculate it.

So let find it.

**F**irst of all, we need to know how many bits we working with. and how is our system? like 8,16,32 and 64 bit system.

**l**ets on an example we working with the 8-bit system.

so, first of all, we need to draw 8 columns. and by simple addition, we get binary data.

lets I explain step by step

### How to find the range of the operating system?

**STEP 1:-**

**D**raw the boxes with the help of your system. like draw 8 columns in the 8-bit system and draw 64 column in a 64-bit system.

**STEP 2:-**

**S**tore with least significant bits on the right-hand side. and in every column, we need to double up our number. like 1 and next 2, next 4, next 8, next 16, next 32, next 64, and soon. and also give the name to the columns as shown in figure 2.

fig. 2 |

**STEP 3:-**

First of all, add all the number given in the column.

**1+2+4+8+16+32+64+128=255**

and put all the numbers into the columns equal to the zero as shown in the fig3.

fig. 3 |

and add all the number.

0+0+0+0+0+0+0+0=0

so we get the range of 8 bit systems. which is 0 to 255.

**STEP 4:-**

first of all, we need to draw the separate 8 columns parallel to the 8 columns and also gives separate names to each column. as shown in fig 4.

fig. 4 |

so let's find the binary values of each column.

to find binary values for each column follow step five.

to find binary values for each column follow step five.

**STEP 5:-**

To find the binary values of each column starting from left to right with substrating by 125.

####
**can we subtract 125-128?**

the answer is 0(zero). remember that we have only answered 0 and 1. but we get -2 which is not in the range of 0 to 255.

then can we get 64 from 125 and the answer is yes 1.

125-64=61. and then can we get 61-32=29. and the answer is yes 1. and then can we get 16 from 29 which means yes 1. so we get

A=125-128= -2=0

B=125-64=61=1

C=61-32=29=1

D=29-16=1

E=13-8=5=1

F=5-4=1=1

G=1-2=-1=0

and the remainder is H=1. and put the all eight values in all the eight columns left to right and we get the binary representation of 125 number in the 8-bit system.

**You can also find out your own answer and then match it**.
so by this method, you can find out the range of all the systems which we can use.

So try on your base and get the base two number of 45 in the 8-bit system. and also find out the range of all the 8,16,32 and 64-bit system. and then send to me via comment.

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**Continue learning:**- how do the binary data works on the computer?
- Evolution of 8, 16, 32 and 64 bit systems.
- Learn about firmware and bios.
- Temporary and Persistent memory.
- How does the sound is recorded and produced?
- How does the sound produce?
- What is the operating system?
- What are API and console?
- Execution of programming language.
- What is the ARPA network?

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