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PLEASE SHOW YOUR WORK! Thank you! 1. Solve the following problems related to binaries: a) Express the following unsigned decimal numbers in binary using 10

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PLEASE SHOW YOUR WORK!

Thank you!

1. Solve the following problems related to binaries: a) Express the following unsigned decimal numbers in binary using 10 bits: 0.7, 0.125, 6.3, 12.9 b) Express the decimal -412.8 using binary floating point notation using 11 fraction bits for the significand and 3 digits for the exponent with a bias of +3. c) Use 8-bit words to express +35 and -115 with two's complement representation, then calculate the binary addition of +35 and -115. Can the same operation be carried out using 7 bits? Explain. d) Represent the decimal number 16.1875x2-134 in single-precision IEEE 754 format. e) Calculate the sum of the following binary numbers expressed in single-precision IEEE 754 format: 0 10000000 01100000000000000000000 0 10000001 00110000000000000000000

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