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practice test - CSE 261 E1 Exercises Binary Number Systems,...

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CSE 261 E1 Exercises 1 Binary Number Systems, EDCs and ECCs 1. T F ((x + y) . z’)’ = (x’ . y’) + z 2. T F x . (x’ + y) = y + x . y 3. T F x + x.y’.z = x + x 4. T F (A’ + B) . A = A’ 5. (29) 10 = (__________________) 2 6. (29) 10 = (__________________) in BCD 7. (-29) 10 = (__________________) 2 in two’s complement. 8. (10) in two’s complement = (__________) in decimal representation. 9. (010111001)2 = (___________________) in decimal representation. 10. (29) 16 = (___________________) in decimal representation. 11. Two 2's complement 5-bit numbers are shown below. Using binary addition techniques, add these two numbers. State whether or not overflow has occurred. 01110 10110 12. Using the Hamming code, determine if there is an error in the following code; and if there is an errors, correct it: 1110010 13. Indicate if the following number has an error if it is represented using the odd parity: 110100 14. The dual function of F(A,B,C) = B + A’C can be written as a) B(A’ + C) b) B’ + AC’ c) B’(A + C’) 15. Given two 2's complement 4-bit numbers as 1111 and 1011, summation is a) 11010 b) 1010 c) 1100 d) (an overflow) 16. The gray code for the bit string (10011)2 is a) 11010 b) 01010 c) 01011 17. A code with Hamming distance 3 is guaranteed a) to detect and correct any 2 bit errors.
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This note was uploaded on 05/08/2008 for the course CSE 261 taught by Professor Ercanli during the Spring '08 term at Syracuse.

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practice test - CSE 261 E1 Exercises Binary Number Systems,...

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