Question

Convert the following numbers to two's complement fixed point numbers assuming that a 10 bit word is used. Assume that one bit is used for the sign. Assume that the decimal point is located after the sign bit in each case. Specify the value of the exponent for the number using this assumption: 0.6071

   Convert the following numbers to two's complement fixed point numbers assuming that a 10 bit word is used. Assume that one bit is used for the sign. Assume that the decimal point is located after the sign bit in each case. Specify the value of the exponent for the number using this assumption:
0.6071

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Digital Signal Processing. Principles, Algorithms and System Design

Digital Signal Processing. Principles, Algorithms and System Design

Winser Alexander and… 1st Edition

Chapter 6, Problem 5

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Step 1

6071 to binary. To do this, we can use the method of multiplying by 2 and taking the integer part of the result. 0.6071 * 2 = 1.2142 -> 1 0.2142 * 2 = 0.4284 -> 0 0.4284 * 2 = 0.8568 -> 0 0.8568 * 2 = 1.7136 -> 1 0.7136 * 2 = 1.4272 -> 1 0.4272 * 2 = 0.8544 -> Show more…

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Convert the following numbers to two's complement fixed point numbers assuming that a 10 bit word is used. Assume that one bit is used for the sign. Assume that the decimal point is located after the sign bit in each case. Specify the value of the exponent for the number using this assumption: 0.6071

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