hw1_soln - Homework 1 Solutions ECE 0132 September 29, 2005...

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Homework 1 Solutions ECE 0132 September 29, 2005 1 Problem 1 Hexadecimal Decimal Octal Binary FADE 64222 175336 1111 1010 1101 1110 7D5 2005 3725 111 1101 0101 405 1029 2005 100 0000 0101 132 306 462 1 0011 0010 1.1 ( FADE ) 16 ( FADE ) 16 = 15 * 16 3 + 10 * 16 2 + 13 * 16 1 + 14 * 16 0 = (64222) 10 (1) = (1111 1010 1101 1110) 2 (2) = (175336) 8 (3) 1.2 (2005) 10 Quotient Remainder 2005 1002 1 501 0 250 1 125 0 62 1 31 0 15 1 7 1 3 1 1 1 0 1 (2005) 10 = (111 1101 0101) 2 (4) = (3725) 8 (5) = (7 D 5) 16 (6) 1
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1.3 (2005) 8 (2005) 8 = 2 * 8 3 + 0 * 8 2 + 0 * 8 1 + 5 * 8 0 = (1029) 10 (7) = (100 0000 0101) 2 (8) = (405) 16 (9) 1.4 (100110010) 2 (100110010) 2 = (462) 8 (10) = (132) 16 (11) = 1 * 16 2 + 3 * 16 1 + 2 * 16 0 = 306 (12) 2 Problem 2 2.1 (a) (2 D 0 . 9 F ) 16 = 2 * 16 2 + 13 * 16 1 + 0 * 16 0 + 9 * 16 - 1 + 15 * 16 - 2 (13) (720 . 6211) 10 (14) 2.2 (b) (364 . 1) 10 = (??) 8 (15) Integer part (divide by 8): Quotient Remainder 364 45 4 5 5 0 5 so, (364) 10 = (554) 8 (16) Fractional part (Multiply the fraction by 8 and keep the integer part of the result): 2
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This note was uploaded on 02/19/2012 for the course ENGR 361 taught by Professor Drexel during the Spring '12 term at Bloomsburg.

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hw1_soln - Homework 1 Solutions ECE 0132 September 29, 2005...

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