How high can we count in binary?

[dontpanicbobby]

IIOO = 2.

You got to be chittling me.

 

[mrex]

No (2) means bin and (10) means dec
1100(bin) = 12(dec)

 

[dontpanicbobby]

hmmm.

 

[psionandy]

10010011

 

[mrex]

10010100

 

[tommo47]

10010101

 

[mrex]

10010110

 

[psionandy]

10010111

 

[tommo47]

10011000

 

[Deleted User]

10011001

 

[Daniel Fernandes]

10011010
0*2^0 + 1*2^0 + 0*2^2 + 1*2^3 + 1*2^4 + 0*2^5 + 0*2^6 + 1*2^7
=
0+1+0+8+16+0+0+64=89?
There seems to be a mistake, where did I go wrong?

 

[tommo47]

2^7 = 128, 2^4 = 16, 2^3 = 8, 2^1 = 2
128 + 16 + 8 + 2 = 154

10011011

 

[mrex]

10011010
0*2^0 + 1*2^0 + 0*2^2 + 1*2^3 + 1*2^4 + 0*2^5 + 0*2^6 + 1*2^7
=
0+1+0+8+16+0+0+64=89?
There seems to be a mistake, where did I go wrong?

0*2^0 + 1*2^1 + 0*2^2 + 1*2^3 + 1*2^4 + 0*2^5 + 0*2^6 + 1*2^7
=
0+2+0+8+16+0+0+128=154

 

[mrex]

10011100

 

[Daniel Fernandes]

10011101
Thanks @mrex
1*2^0 + 0*2^1 + 1*2^2 + 1*2^3 + 1*2^4 + 0*2^5 + 0*2^6 + 1*2^7
=0+0+4+8+16+0+0+128=156

Now I get it!

 

[Daniel Fernandes]

10011110 - 157

 

[Deleted User]

10011111

 

[Daniel Fernandes]

10100000

159

 

[tommo47]

10100000

159

10100000 = 2^7 (128) + 2^5 (32) = 160

10100001

 

[Daniel Fernandes]

Now how did that happen?

10100010

 

[psionandy]

10100011

 

[Daniel Fernandes]

10100100

 

[kate]

10100101

 

[Daniel Fernandes]

10100110

 

[psionandy]

10100111