# NumbersystempracticeAnswers - Number systems practice:...

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Number systems practice: Convert 180 10 to Binary: Do repeated division until /2 column is 0: Number /2 Remainder 180 90 0 90 45 0 45 22 1 22 11 0 11 5 1 5 2 1 2 1 0 1 0 1 Read the answer from bottom to top. Answer: 1011 0100 Check your answer. Convert the answer you got in the last question to decimal and see if the answer is 180. Write increasing powers of 2 over each digit, starting with 1 on the right most digit. 128 1 64 0 32 1 16 1 8 0 4 1 2 0 1 0 Add up every number over a 1. (Ignore the ones over 0’s) 128 32 16 +4 ----- 180 Fill in this table: Dec Hex Bin Dec Hex Bin Dec Hex Bin Dec Hex Bin 0 4 8 12 1 5 9 13 2 6 10 14 3 7 11 15

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For Hex, count from 0-9 and then A-F Dec Hex Bin Dec Hex Bin Dec Hex Bin Dec Hex Bin 0 0 4 4 8 8 12 C 1 1 5 5 9 9 13 D 2 2 6 6 10 A 14 E 3 3 7 7 11 B 15 F For Binary, Start with the right most digit and write a series of 0 1 Dec Hex Bin Dec Hex Bin Dec Hex Bin Dec Hex Bin 0 0 0 4 4 0 8 8 0 12 C 0 1 1 1 5 5 1 9 9 1 13 D 1 2 2 0 6 6 0 10 A 0 14 E
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