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# convert decimal 3 200 000 to binary

9 replies to this topic

### #1 txn41655

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Posted 18 November 2016 - 02:32 AM

Hi,

could anyone tell me how to convert decimal 3 200 000 to binary ? I can convert smaller decimal number to binary using the binary positions like   128 64 32 8 4 1 2 ...... but how could I convert decimal 3 200 000 to binary without writing the long binary position until that number? is there a way to calculate it? Thanks.

### #2 richcbro

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Posted 18 November 2016 - 02:43 AM

There is a way to convert decimal to binary without using a calculator or computer.

3200000 / 2 = 1600000....0

1600000 / 2 = 800000....0

800000 / 2 = 400000....0

400000 / 2 = 200000....0

200000 / 2 = 100000....0

100000 / 2 = 50000....0

50000 / 2 = 25000....0

25000 / 2 =12500....0

12500 / 2 = 6250....0

6250 / 2 = 3125....0

3125 / 2 = 1562....1

1562 / 2 = 781....0

781 / 2 = 390....1

390 / 2 = 195....0

195 / 2 = 97....1

97 / 2 = 48....1

48 / 2 = 24....0

24 / 2 = 12....0

12 / 2 = 6....0

6 / 2 =3....0

3 / 2 =1....1

1 / 2 =0....1

Look at the remainder after you divide, then read the remainders from the last to the first, you get:

1100001101010000000000 -> this is the answer

This is what I know, maybe there is a easier way, you can search the web for help.

Edited by batman1234, 18 November 2016 - 02:44 AM.

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### #3 txn41655

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Posted 18 November 2016 - 02:48 AM

### #4 opera

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Posted 18 November 2016 - 02:50 AM

### #5 richcbro

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Posted 18 November 2016 - 02:57 AM

The easiest way is to use online calculator to help you calculate, like opera said. If you want to calculate it by hand I only know this method, you can search the internet for an easier way.

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### #6 Trikein

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Posted 18 November 2016 - 11:00 AM

### #7 Sneakycyber

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Posted 18 November 2016 - 06:31 PM

Thanks for the Tip batman1234, lol I am taking my CCNA exam in 2 weeks
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### #8 Chris Cosgrove

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Posted 19 November 2016 - 06:20 PM

There is a perfectly good calculator built into Windows. chose 'Programmer view' and you can convert numbers to your heart's content between decimal, binary, hex and even octal.

Batman is cleverer than I am - I was probably exposed to his method once upon a time but promptly forgot it. But his answer is exactly the same as the one the Windows calculator just produced, so the calculator must be right.

Chris Cosgrove

### #9 Sneakycyber

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Posted 19 November 2016 - 08:40 PM

You can't use a calculator in ICND 1 and ICND 2 for Cisco CCNA Exams

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### #10 richcbro

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Posted 20 November 2016 - 07:38 AM

Thanks for the Tip batman1234, lol I am taking my CCNA exam in 2 weeks

CPU: Intel i7-8700K 5.3 GHz ------ RAM: 32GB TridentZ 3600 MHz CL16 ----- Motherboard: Asus ROG Maximus X Formula ----- GPU: Zotac GTX 1080 Ti Amp! Extreme ----- Storage: Samsung 960 Pro 1TB -- Samsung 850 Pro 2TB x4

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