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hw1 - What is the largest negative value What are the...

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ECE 331 Spring 2009 Homework 1 Due Friday Jan 23 at the beginning These problem must be done by hand, without the use of a conversion program or calculator. Please show as much of your work as necessary to demonstrate that you have worked through these problems manually. of class. 1. Determine the Binary and Hexadecimal values for each of the following Decimal numbers. Assume all values can be represented by 4 binary bits. a. 14 b. 6 c. 11 2. Determine the Hexadecimal and Decimal values for each of the following Binary numbers. a. 10101001 b. 01110001 c. 01001101 3. Change the sign (negate) the following 8-bit, 2’s complement numbers: a. 00000000 b. 00010001 c. 11111111 4. Determine the base-10 (signed) value of the following 8-bit, 2’s complement numbers: a. 11111110 b. 01000100 c. 10111011 5. Determine the 4-bit, 2’complement equivalent of each of the following base-10 numbers: a. -2 b. 9 c. -9 6. What is the largest positive 8-bit, 2’s complement value in binary notation?
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Unformatted text preview: What is the largest negative value? What are the decimal equivalents of these values? 7. Assume the following are 4-bit, 2’s complement numbers and perform the specified arithmetic. Note if overflow has occurred. Check each problem by performing the same operations in decimal notation. a. 1011 + 0011 b. 1000 –0101 c. 0110 – 1110 8. Assume the following are 8-bit, 2’s complement numbers specified in hexadecimal and determine the result. You will probably want to convert to binary to determine the sign of each 2’s complement value. Give your answer in hexadecimal notation. Check each problem by performing the same operations in decimal notation. a. C4 + 01 b. E5 – EE c. 9A – 9B 9. Show using gate schematics that INV (NOT), OR and AND logic functions can be implemented using only NOR gates....
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