HW3_solution - ECE 2504 Introduction to Computer...

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ECE 2504 Introduction to Computer Engineering, Fall 2008 Homework 3 Due date: 17 Sep 08, 11:59pm Show all work. 1. (5 pts) Complete the tutorial in Chapter 4 of the Logicworks manual: The Five-Minute Schematic and Simulation. Show the completed circuit diagram and timing window. 9 8 1 2 3 4 5 6 10 11 12 13 A CLK 164 B CLR QA QB QC QD QE QF QG QH 0 1 1 1 FEEDBK D6 D7 CLK 2. (10 pts) A collision avoidance system requires a vertical separation of 500 ft. The altimeter in a westbound flight reports its altitude to be 47000E00H. Altitude values are stored in 32-bit IEEE 754 floating point format. The altimeter in an overlapping southbound flight reports its altitude to be 46FC5100H. Is the separation requirement met? Show how the calculations would be performed in binary, not in decimal. 47000E00 0100 0111 0000 0000 0000 1110 0000 0000 0 10001110 00000000000111000000000 S=0 E=142 F=00000000000111000000000 1.000000000001110 x 2 15 1000000000001110.0 Note: FYI this is (32782.0) 10 46FC5100 0100 0110 1111 1100 0101 0001 0000 0000 0 10001101 11111000101000100000000 S=0 E=141 F=11111000101000100000000 1.111110001010001 x 2 14 111111000101000.1 Note: FYI this is (32296.5) 10
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1000000000001110.0 - 0111111000101000.1 0000000111100101.1 OR in 2’s complement: 1000000000001110.0 1000000000001110.0 - 0111111000101000.1 + 1000000111010111.1 0000000111100101.1 (485.5) 10 No, the requirement is not met. 3. (5 pts) Write the logic equation for the variable F in the circuit below. Complete the truth table. ((A'B)' + (C D')) ' Note that there are multiple correct answers here, including ((A'B)' + CD + C'D') ' (A + B' + CD + C'D') ' A'B(CD)'(C'D')' A'B(C'+D')(C+D) (A'BC'+A'BD')(C+D) A'BCD'+A'BC'D A B C D F 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 A' B F C D'
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4. (5 pts) Write the logic equation for the variable G in the circuit below. Complete the truth table. ((A'+B)' (C D'))' Note that there are multiple correct answers here, including (AB' (C D'))' ((A'+B)' (CD+C'D'))' (AB'CD+ AB'C'D')' (AB'CD)' (AB'C'D')' (A'+B+C'+D') (A'+B+C+D) A B C D G 0 0 0 0 1 0 0 0 1 1 0
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