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HW3 - Ryan Zanski ECE 2504 Introduction to Computer...

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Ryan Zanski ECE 2504 Introduction to Computer Engineering, Summer I 2010 Homework 3 Due date: 1 Jun 10, 11:55pm Show all work. 1. (5 pts) Convert (268.57362) 10 to 32-bit floating point representation in standard IEEE format. Represent your answer in hex. Binary: 100001100.100100101101100 Sign: 0, Exponent: 127+8 = 135 = 10000111, Mantissa: 1.00001100100100101101100 0100 0011 1000 0110 0100 1001 0110 1100= 4386496C 2. (5 pts) Convert 0xC35BC800, which is a 32-bit floating point number in IEEE 754 format, to decimal. Binary: 11000011010110111100100000000000 Sign: 1, so negative Exponent: 10000110 134-127 = 7 Mantissa: 10110111100100000000000 1.10110111100100000000000 2^7 11011011.1100100000000000 -219.78125 3. (4 pts) Represent the decimal number 5275 in BCD; excess-3 code; 2421 code; and in hex-coded binary. BCD: 0101 0010 0111 0101 Excess-3: 1000 0101 1010 1000 2421: 1011 0010 1101 1011 Hex: (binary: 0001 0100 1001 1011)- 149B 4. (10 pts) A collision avoidance system requires a vertical separation of 500 ft. The altimeter in a westbound flight reports its altitude to be 46FCD200H. Altitude values are stored in 32-bit IEEE 754 floating point format. The altimeter in an overlapping
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southbound flight reports its altitude to be 47006280H. Is the separation requirement met? Show how the calculations would be performed in binary, not in decimal.
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