MECH 262 Study Guide - Final Guide: Binary Number

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From the remainders, we get the 8-bit number as follows: From the remainders, we get the 12-bit number as follows: Note that the msb must be zero since we have only eleven remainders. 4. 5 we first find the 8-bit number for +121: To find the 8-bit number for -121, we first invert the 8-bit number for +121: Then we add 1 to obtain the 8-bit number for -121: 10000111. 4. 11 the following table presents the maximum decimal number versus the number of bits for simple binary: Consequently, 15 bits are needed to represent 27541 in simple binary. For a two"s complement binary number, the msb will be zero so 16 bits will be required. The quantization error (as a percent reading) for an input of 1. 36v is: The quantization error (as a percent reading) for an input of 2. 45v is: The quantization error (as a percent reading) for an input of -4. 16v is: