# 5-M1 - Midterm 1 ECE 25 Fall 2007 Thursday November 8 Name PID Problem 1 2 3 4 5 Total 10 10 10 50 Score 1 Number representation(10 pts For each

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For each binary vector below, what does it represent if it is interpreted as a Decimal number in conventional binary form (positive only), a Decimal number in 2’s complement form (positive and negative), an Octal number, and a Hexadecimal number? Decimal conventional 2’s complement Binary form form Octal Hexadecimal 001111 100000 111111 100110 1

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F ( A, B, C, D )= X m (0 , 5 , 6 , 10 , 14 , 15) d ( A, B, C, D X m (2 , 4 , 8) 00 01 11 10 00 01 11 10 AB CD a) Identify all the prime and essential prime implicants. Prime Essential b) Find the minimum two-level logic implementation. F = 2
Given following logic equations, minimize the number of literals, e.g. by using common subexpres- sions, Boolean rules, etc. (Hint: you don’t need to introduce new intermediate equations.) H = ¯ ABC ¯ E + ¯ ABCF J = ADE + AD ¯ F + ¯ BDE + ¯ BD ¯ F + ¯ CDE + ¯ CD ¯ F K = ¯ ABC ¯ EF + ¯ EFG + ¯ G L = ¯ ABC M = ¯ 3

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Specify the truth table (i.e. output = { 0, 1, x } ) for the design problem below. mode Logic D 2 D 1 D 0 A 1 A 0 mode D 2 D 1 D 0 A 1 A 0 00 0 0 0 1 1 0 1 1 01 0 0 0 1 1 0 1 1 10 0 0 0 1 1 0 1 1 11 0 0 0 1 1 0 1 1 If mode =0 : The outputs A 1
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## This note was uploaded on 01/09/2012 for the course CSE 140 taught by Professor Rosing during the Spring '06 term at UCSD.

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5-M1 - Midterm 1 ECE 25 Fall 2007 Thursday November 8 Name PID Problem 1 2 3 4 5 Total 10 10 10 50 Score 1 Number representation(10 pts For each

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