ECE 320

# ECE 320 - number system Determine the possible bases of...

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EE 320 Dr. N. El Naga SHEET #1 1. Convert the following numbers: (a) (1431) 8  to base 10, (b) (11001010.0101) 2  to base 10, (c) (11001101.0101) 2  to base 8 and to base 4, (d) (1984) 10  to base 8, (e) (1776) 10  to base 6, (f) (53.1575) 10  to base 2, (g) (3.1415) 9  to base 3. 2. (a) Given that (16) 10  = (100) b , determine the value of b. (b) Given that (292) 10  = (1204) b , determine the value of b. 3. Represent the decimal number 8620 (a) in BCD, (b) in excess-3 code, (c)  in 2,4,2,1 code, and (d) as a binary number. 4. Each of the following arithmetic operations is correct in at least one
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Unformatted text preview: number system. Determine the possible bases of the numbers in each operation. (a) 1234 + 5432 = 6666 (b) 41/3 = 13 (c) 33/3 = 11 (d) 23 + 44 + 14 + 32 = 223 (e) 302/20 = 12.1 (f) = 5 5. a. Construct a weighted binary code for each of the following weight sets: a) 6 3 1-1 b) 7 3 2-1 c) 5 4-2-1 d) 8 7-4-2 b. Determine which of these codes is self-complementing. 1...
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