hw4solutions

# hw4solutions - GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of...

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Unformatted text preview: GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL and COMPUTER ENGINEERING ECE 2030 Fall 2005 Problem Set #4 Assigned: 53—Oct—05 Due Date: 12-Oct-05 ——-—————-——.—____—_ This assignment is due at the beginning of class on Wednesday, October 12. Remember to check the class web page http://users.ece.gatech.edu/dva/ece2030/ regularly for up— dates; handouts, and other resources. ——-———————_——_———_ Problem 1 (2 pts): Convert the following numbers: FE FE FE FF FF 80 80 -35.5625 10000111 10000111 unsigned hexadecimal: unsigned hexadecimal=> signed hexadecimal => unsigned hexadecimal=> signed hexadecimal : unsigned hexadecimal=> signed hexadecimal => decimal signed binary => unsigned binary => //// ///0 [ZS ‘lZS’ => (oz/100.0!” => IOIIIOOJ -/2_-L /3.\$T binary decimal decimal decimal decimal decimal decimal 3.5", \$625: [coal/Jaw W binary (8—bit) decimal decimal Problem 2 (2 pts): Add the following unsigned, 5 bit, binary numbers; indicate if there has been an overﬂow error: 1 1 I 1 l l l 1011 11011 1000 1110 +0110 +10110 +110 +0111 (“0 1 l (000/ (Imam [mo overﬂow? N overﬂow? I overﬂow? overﬂow? N Problem 3 (2 pts): Add the following 5 bit, 2’s complement binary numbers, indicate if there has been an overﬂow error: I a i I; l | 1010 (+) 11010 (~> 1110 (+3 +0110 m +10110 (-3 +0111 m (0000 ~ I oo — mo: - ( ) 1 00 lC ) I ( 5 overﬂow? L overﬂow? A overﬂow? _Y (H N 11010 <-) 10001 (-3 10110 H +0111 m +10110 (c) +00111 (+) (00051 (4,) (00-!!! (+) (no: (-) overﬂow? overﬂow? I overﬂow? A! Problem 4 (2 pts): (a) Implement the following function using a 8-to—1 Multiplexor (216. Show how to connect up the mux to realize the function). F: abc—i—aEc-l-abc +abc (b) Implement the following function using a 4-to-1 Multiplexor. F: Ebc+a5c+abc +abc Problem 5 (2 pts): Implement the following function using a 3—to-8 Decoder, NOT functions and an OR gate. F = 6bc+a50+ab5 +abc Bc+aEC +455+0~g¢ _. a —- Ct (Emblem LII 0 (7.37‘5‘7 k3“. 33\$ mtm 12 .7. cl ...
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## This note was uploaded on 06/17/2008 for the course ECE 2030 taught by Professor Wolf during the Fall '07 term at Georgia Tech.

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hw4solutions - GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of...

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