Homework01-sol - 1/24/03 5:33 PM Homework #01 Solution...

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1/24/03 5:33 PM ECSE-2660 Computer Architecture, Networks, & Operating Systems, Spring 2003 Page 1 of 5 Homework #01 Solution (Individual work, due Friday 01-24-03) Last Name First Name Student ID Number 1 2 3 4 5 6 7 8 Total Grader’s Initials 20 15 10 5 20 10 10 10 100 A. Review of pre-requisite material 1a. (5 points) Express the following decimal integer in hexadecimal notation for 20-bit two's complement representation. -4707 10 = FED9D 16 Grading: 5 pts for correct answer, 2pts trying, 0 for no answer 1b. (5 points) The following signed numbers in 16-bit two’s complement form are given in hexadecimal notation. Give the answer in normal base-10 notation, including sign. E0C7 16 + 0F70 16 = - 4041 10 Grading: 5 points for correct decimal, 2 trying, 0 for no answer. 1c. (5 points) Convert the following base-10 number to binary form. Use precision of 12 bits for the fraction. 204.7 10 = 1100 1100.1011 0011 0011 2 Grading: 3 points for correct fraction, 2 for correct integer, 0 for no answer 1d (5 points) Convert the following binary number to base-10 form. Use precision of 3 digits for the fraction. 1111.1101 1001 2 = 15.847 10 Grading: 3 points for correct fraction, 2 for correct integer, 0 for no answer 2a. (5 points) From the following circuit, find F in terms of A and B. A B F B B A A B A F ) ( ) ( + + + = Grading: 5 points for correct, 2 for trying, 0 for no answer
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1/24/03 5:33 PM ECSE-2660 Computer Architecture, Networks, & Operating Systems, Spring 2003 Page 2 of 5 2b. (5 points) Simplify F as much as possible, showing all work. What type of single gate would give equivalent results? (AND, OR, NAND, etc.)? F = AA’+BA’ + AB’ + BB’ = A’B + AB’. So, an XOR gate would be sufficient. Grading: 5 points for correct, else 0 2c. (5 points) Assume that delay for OR and NOR gates is 3 ns, and the delay for the inverted AND gates is 2.5 ns. What is the overall circuit delay for the circuit shown?
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This note was uploaded on 04/25/2010 for the course ECSE ecse-2340 taught by Professor Wozny during the Spring '09 term at Rensselaer Polytechnic Institute.

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Homework01-sol - 1/24/03 5:33 PM Homework #01 Solution...

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