Mathematics
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OpenStudy (haleyright):
Please help.
How would you properly represent the number 56 in 8-bit binary code?
Question 1 options:
111000
101100
100110
101010
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OpenStudy (misty1212):
HI!!
OpenStudy (misty1212):
what is the largest power of 2 that goes in to 56? and do you have any idea what i mean?
OpenStudy (haleyright):
I have no idea what you're talking about. Lol. Hi c:
OpenStudy (misty1212):
powers of 2
\[2^0=1,2^1=2,2^2=4,2^3=8,2^4=16,2^5=32,2^6=64\]
OpenStudy (misty1212):
which is the biggest one less than 56?
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OpenStudy (haleyright):
2 with the power of 5?
OpenStudy (misty1212):
|dw:1477581690169:dw|
OpenStudy (misty1212):
yes so put a 1 there |dw:1477581752571:dw|
OpenStudy (misty1212):
now what is \(56-32\)?
OpenStudy (haleyright):
24
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OpenStudy (misty1212):
yes, and now what is the biggest power of 2 that is less than 24?
OpenStudy (haleyright):
16?
OpenStudy (misty1212):
yes
OpenStudy (misty1212):
|dw:1477581945115:dw|
OpenStudy (misty1212):
now what is \(24-16\)?
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OpenStudy (haleyright):
yay. :3
Whats next? o.o
OpenStudy (misty1212):
24 - 16 is next
OpenStudy (misty1212):
did i lose you?
OpenStudy (haleyright):
ok, 8
OpenStudy (misty1212):
ok so now we are done
the largest power of 2 that goes in to 8 is 8 and nothing is left |dw:1477582714034:dw|
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OpenStudy (misty1212):
\[54=1\times 32+1\times 16+1\times 8+0\times 4+0\times 2+0\times 1\] or in base 2, \[111000\]
OpenStudy (haleyright):
thank you c: