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CTK Exchange
Shirley Reeves (Guest)
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Mar-10-01, 11:08 PM (EST) |
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"Converting Base Numbers"
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I have a math problem for a college class that I have no idea how to do. Given the base two number 10110100 base2, give the brief explanation of how this number could be converted directly to a base eight numeral (without firsst converting to base 10 and then back to base 8) (HINT: 10 110 100 base 2= 264 base 8 ) |
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alexb
Charter Member
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Aug-03-01, 03:17 PM (EST) |
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1. "RE: Converting Base Numbers"
In response to message #0
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LAST EDITED ON Aug-03-01 AT 03:21 PM (EST)
binary | | octal |
---|
000 | | 0 |
001 | | 1 |
010 | | 2 |
011 | | 3 |
100 | | 4 |
101 | | 5 |
110 | | 6 |
111 | | 7 |
Now,
(1101011)2 = (1 101 011)2 = (011)2 + (101)2·23 + 1· 26 = (3)8 + (5)8·81 + 1· 82 = (153)8 |
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brian
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Oct-08-01, 09:39 AM (EST) |
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2. "RE: Converting Base Numbers"
In response to message #0
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You are converting to octal so each position is a power of 8 so 264 is 2X64+6+64+4 becasue of the numbering systems you can do this by counting off units of 3 from the right and converting to decimal and as the largest 3 digit binary number 111=7 this converts directly into octal. so 001000 =10 in octal = 8 in decimal 001111 =17 in octal = 15 in decimal 010000 =20 in octal = 16 in decimal etc 111000 =70 in octal = 48 in decimal |
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