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EECS270-W08-HW1-Solutions

EECS270-W08-HW1-Solutions - EECS 270 Winter 2008 Homework 1...

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EECS 270 Winter 2008 Homework 1 Solutions 1) (10 points) – Vahid 1.7 Convert the following binary numbers to decimal numbers: a) 1010 b) 1000000 c) 11001100 d) 11111 e) 10111011001 a) 1*2 1 + 1*2 3 = 12 b) 1*2 6 = 64 c) 1*2 2 + 1*2 3 + 1*2 6 + 1*2 7 = 204 d) 1*2 0 + 1*2 1 + 1*2 2 + 1*2 3 + 1*2 4 = 31 e) 1*2 0 + 1*2 3 + 1*2 4 + 1*2 6 + 1*2 7 + 1*2 8 + 1*2 10 = 1497

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3) (8 points) – Vahid 1.13 Convert the following decimal numbers to binary using the divide-by-2 method (show your work): a) 19 b) 30 c) 64 d) 128 a) 9 19 2 R1 1 4 9 2 R1 11 2 4 2 R0 011 1 2 2 R0 0011 0 1 2 R1 10011 b) 15 30 2 R0 0 7 15 2 R1 10 3 7 2 R1 110 1 3 2 R1 1110 0 1 2 R1 11110
c) 32 64 2 R0 0 16 32 2 R0 00 8 16 2 R0 000 4 8 2 R0 0000 2 4 2 R0 00000 1 2 2 R0 000000 0 1 2 R1 1000000 d) 64 128 2 R0 0 32 64 2 R0 00 16 32 2 R0 000 8 16 2 R0 0000 4 8 2 R0 00000 2 4 2 R0 000000 1 2 2 R0 0000000 0 1 2 R1 10000000

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3) (8 points) Convert the following decimal numbers to binary using the divide-by-2 and multiply-by- 2 methods (show your work):
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EECS270-W08-HW1-Solutions - EECS 270 Winter 2008 Homework 1...

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