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Mathematics 21 Online
OpenStudy (haleyright):

Please help. How would you properly represent the number 56 in 8-bit binary code? Question 1 options: 111000 101100 100110 101010

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?

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

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 \(24-16\)?

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|

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:

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