## Binary - Decimal Conversion

on Tue Aug 07, 2018 9:51 am

**Steps in converting binary number to Decimal number**

1. Write down the

__binary number__.

2. List the powers of two from

__right to left__.

(256 128 64 32 16 2 1)

3.

__Write__the digits of the

**binary number**below their corresponding powers.

4.

__Connect__the digits in the binary number with their corresponding powers.

5. Write down the final value of each power of two.

6. Add the final values.

7. Write the answer along with its base subscript.

Example:

We have the value of

**100100101**nd we need to change it in decimal value

Decimal Digit Value 256 128 64 32 16 8 4 2 1

Binary Digit Value 1 0 0 1 0 0 1 0 1

We just simply add all the digit value number that has a 1 binary digit number.

256 + 32 + 4 +1 =

**293**

and that's it the equivalent of 100100101 in decimal is 293.

## Re: Binary - Decimal Conversion

on Tue Aug 07, 2018 9:57 am

Is there any shortcut in converting binary to decimals ?

## Re: Binary - Decimal Conversion

on Tue Aug 07, 2018 10:03 am

Admin wrote:Steps in converting binary number to Decimal number

1. Write down thebinary number.

2. List the powers of two fromright to left.

(256 128 64 32 16 2 1)

3.Writethe digits of thebinary numberbelow their corresponding powers.

4.Connectthe digits in the binary number with their corresponding powers.

5. Write down the final value of each power of two.

6. Add the final values.

7. Write the answer along with its base subscript.

Example:

We have the value of100100101nd we need to change it in decimal value

Decimal Digit Value 256 128 64 32 16 8 4 2 1

Binary Digit Value 1 0 0 1 0 0 1 0 1

We just simply add all the digit value number that has a 1 binary digit number.

256 + 32 + 4 +1 =293

and that's it the equivalent of 100100101 in decimal is 293.

why do we need to convert binary to decimal ?

## Re: Binary - Decimal Conversion

on Tue Aug 07, 2018 10:08 am

althea faye wrote:Is there any shortcut in converting binary to decimals ?

The shortcut is based on your own strategy.

## Re: Binary - Decimal Conversion

on Tue Aug 07, 2018 10:10 am

ok , i'll try finding shortcut in converting . thankyouheyhey wrote:althea faye wrote:Is there any shortcut in converting binary to decimals ?

The shortcut is based on your own strategy.

## Re: Binary - Decimal Conversion

on Tue Aug 07, 2018 10:11 am

I think there is no shortcut way in converting binary.althea faye wrote:Is there any shortcut in converting binary to decimals ?

## Re: Binary - Decimal Conversion

on Tue Aug 07, 2018 10:17 am

Admin wrote:I think there is no shortcut way in converting binary.althea faye wrote:Is there any shortcut in converting binary to decimals ?

it sad to read that . i hope they find any shortcut in converting to make it easily for the students. and they will not consume much time converting . HAHAHAH SKL

## Re: Binary - Decimal Conversion

on Tue Aug 07, 2018 10:23 am

althea faye wrote:Admin wrote:I think there is no shortcut way in converting binary.althea faye wrote:Is there any shortcut in converting binary to decimals ?

it sad to read that . i hope they find any shortcut in converting to make it easily for the students. and they will not consume much time converting . HAHAHAH SKL

I hope so but for now we just need to use the available steps in converting. hehe

## Re: Binary - Decimal Conversion

on Tue Aug 07, 2018 10:33 am

Admin wrote:althea faye wrote:Admin wrote:althea faye wrote:Is there any shortcut in converting binary to decimals ?

it sad to read that . i hope they find any shortcut in converting to make it easily for the students. and they will not consume much time converting . HAHAHAH SKL

I hope so but for now we just need to use the available steps in converting. hehe

I feel bad too

## Re: Binary - Decimal Conversion

on Tue Aug 07, 2018 10:36 am

heyhey wrote:Admin wrote:althea faye wrote:althea faye wrote:Is there any shortcut in converting binary to decimals ?

it sad to read that . i hope they find any shortcut in converting to make it easily for the students. and they will not consume much time converting . HAHAHAH SKL

I hope so but for now we just need to use the available steps in converting. hehe

I feel bad too

It's okay. we all need to go for the long method before the short method. hehehe.

## Re: Binary - Decimal Conversion

on Tue Aug 07, 2018 10:38 am

Admin wrote:heyhey wrote:Admin wrote:althea faye wrote:Is there any shortcut in converting binary to decimals ?

it sad to read that . i hope they find any shortcut in converting to make it easily for the students. and they will not consume much time converting . HAHAHAH SKL

I hope so but for now we just need to use the available steps in converting. hehe

I feel bad too

It's okay. we all need to go for the long method before the short method. hehehe.

okay admin. thank you

## Re: Binary - Decimal Conversion

on Tue Aug 07, 2018 7:47 pm

Can you help me to convert this one 1001 0011 1101 ? You only gave the corresponding value until bit 7 only. I dont know what is next after that so please help me.

## Re: Binary - Decimal Conversion

on Wed Aug 08, 2018 1:15 pm

Annexx wrote:Can you help me to convert this one 1001 0011 1101 ? You only gave the corresponding value until bit 7 only. I dont know what is next after that so please help me.

you just simply multiply the value of the latest bit in two.

For example the value of bit 7 is 256 so multiply it by 2 the answer is 512

so we have

b11 b10 b9 b8 b7 b6 b5 b4 b3 b2 b1 b0

2048 1024 512 256 128 64 32 16 8 4 2 1

1 0 0 1 0 0 1 1 1 1 0 1

2048 +256 + 32 +16 + 8 + 4 + 1 = 2365

so the equivalent of 1001 0011 1101 in decimal is 2365

## Re: Binary - Decimal Conversion

on Thu Aug 09, 2018 7:34 pm

What is the importance of binary in our life today?

## Re: Binary - Decimal Conversion

on Mon Aug 13, 2018 11:52 am

I think we must study this Binary - Decimal

## Re: Binary - Decimal Conversion

on Mon Aug 13, 2018 6:46 pm

now i know how to convert binary to decimal+

## Re: Binary - Decimal Conversion

on Fri Aug 17, 2018 11:46 pm

binary to decimal has some shortcuts to follow which is easier

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