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HW1_S - 0306-250 Assembly Language Programming Fall 2009...

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Page 1 of 3 0306-250 Assembly Language Programming Fall 2009 Homework One Solution 1. Convert each of the following decimal integers into its natural binary equivalent. a. 13 Use division-remainder method. 2: Quotient Remainder 6 1 LSB 3 0 1 1 0 1 MSB Therefore, 13 in binary is 1101. (The last remainder is the most significant bit, and the first remainder is the least significant bit). Remember that this process works for all radices —not just binary. b. 44 Again, use division-remainder method. 2: Quotient Remainder 22 0 LSB 11 0 5 1 2 1 1 0 0 1 MSB Therefore, 44 in binary is 101100. 2. Convert the following natural binary integer into its decimal equivalent: 1010110. Add the decimal contribution from each binary digit. 1010110 2 = 1 · 2 6 + 0 · 2 5 + 1 · 2 4 + 0 · 2 3 + 1 · 2 2 + 1 · 2 1 + 0 · 2 0 1010110 2 = 64 + 16 + 0 + 4 + 2 + 0 1010110 2 = 86 10 Alternatively, use the double-dabble method to convert to decimal. 1 0 1 0 1 1 0 x 2 2 +0 = 2 x 2 4 + 1 = 5 x 2 10 +0 = 10 x 2 20 +1 = 21 x 2 42 +1 = 43 x 2 86 +0 = 86
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0306-250 20091 Homework One Solution Page 2 of 3 3. Perform the following binary addition:
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