Decimal to Binary Help

[KraftDinner]

172.16.30.56  = 10101100.00010000.00011110.00111000

 

The above example is equivalent in both binary and decimal. What's the best method of converting something like this without, preferably without a calculator? It's pretty simple for me, but getting numbers like 172 throws me off mainly because of their size.

 

 

[Oberon.Smite]

Google.

>>>Without a calculator.

[werto165]

00000000

76543210

 

2^0 = 1

2^1 = 2

2^2 = 4 

2^   = . 

2^7  = 128 

 

you just add them up if it's a 1 it holds that value if it's a 0 it doesn't 

[Nineshadow]

x = 0 0 1 1 1 0 0 0

      7 6 5 4 3 2 1 0 - > exponents of powers of two

x = 2⁷*0 + 2⁶*0 + 2⁵*1 + 2⁴*1 + 2³*1 + 2²*0 + 2¹*0 + 2⁰*0 = 2⁵ + 2⁴ + 2³ = 56

[KraftDinner]

00000000

76543210

 

2^0 = 1

2^1 = 2

2^2 = 4 

2^   = . 

2^7  = 128 

 

you just add them up if it's a 1 it holds that value if it's a 0 it doesn't 

 

 

x = 0 0 1 1 1 0 0 0

      7 6 5 4 3 2 1 0 - > exponents of powers of two

x = 2⁷*0 + 2⁶*0 + 2⁵*1 + 2⁴*1 + 2³*1 + 2²*0 + 2¹*0 + 2⁰*0 = 2⁵ + 2⁴ + 2³ = 56

Thank you guys for the good methods, helped a lot!

[JuztBe]

Weights method maybe
128 64 32 16 8  4 2 1 
    1 0   1    0  1  1 0 0 
Basically values you are taking 1, ones you are not 0.
128+32+8+4 

 

[KraftDinner]

Weights method maybe

128 64 32 16 8  4 2 1 

    1 0   1    0  1  1 0 0 

Basically values you are taking 1, ones you are not 0.

128+32+8+4 

 

So you basically just see which combination of numbers add up to the decimal number and put ones under them? The rest are 0's

[JuztBe]

So you basically just see which combination of numbers add up to the decimal number and put ones under them? The rest are 0's

Pretty much. Just have to start from highest ones.