sample_test2_sol - CoCO Exam 1 Answers - Spring 2000 1. (20...

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CoCO Exam 1 Answers - Spring 2000 1. (20 points) Number Systems, Codes, Computer Arithmetic A. (8 points) (1) Convert 10101010 2 to [a] its 2s-complement negative [number]._____01010110______ (1) Convert 10101010 2 to a decimal number. ________170________ (1) Convert 10101010 2 to a hexadecimal number. ________AA________ (1) Convert 10101010 2 to a Gray code number. ______11111111_____ (1) Convert 10101010 Gray code to a binary number. ______11001100_____ (1) Convert A3 16 to a binary number. ______10100011_____ (1) Convert 70 10 to a binary number. ______01000110_____ (1) Convert 70 10 to a BCD number. _____0111 0000_____ B. (5 points) Add using 2s-complement arithmetic 01100101 2 + 10101010 2 . Does this result in an overflow? Explain your answer. Sum = _____00001111________ no overflow 1 1 100 000 = carries Overflow result = None. Adding a positive and a negative number can never result in overflow C. (2 points) Convert the 2s-complement numbers of part (b) to decimal and add them. What answer do you get? Sum = ______15____________ 101 - 86 = 15 Overflow result = Same as part B, none____________________________________________ D. (5 points) Add using BCD arithmetic 0011 0101 BCD + 0101 0110 BCD . Show corrections and digit carries. Sum in BCD = ______________________ 0011 0101 0101 0110 1000 1011 not BCD 000 1 0110 carry and correction 1001 0001
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2. (20 points) Logic Functions, Gates, PLAs
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sample_test2_sol - CoCO Exam 1 Answers - Spring 2000 1. (20...

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