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Compute the addition and multiplication of the following 2 binary floating numbers:
1.101 *2^(1)
1.1 * 2^(-1)
Solution
Given 2 numbers:
1.101 *2^(1) = 1.101 * 10 =
0000
1101
11.010 = 11.012 = 2.210
1.1 * 2^(-1) = 1.1 * 0.1
11
00
0.112 = 0.7510
Now, the addition is: 11.012 + 0.112= 100.002 = 3.010
Now, the multiplication is: 11.012 * 0.112 =
1101
1101
10.01112 = 2.410

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Compute the addition and multiplication of the following 2 binary fl.pdf

  • 1. Compute the addition and multiplication of the following 2 binary floating numbers: 1.101 *2^(1) 1.1 * 2^(-1) Solution Given 2 numbers: 1.101 *2^(1) = 1.101 * 10 = 0000 1101 11.010 = 11.012 = 2.210 1.1 * 2^(-1) = 1.1 * 0.1 11 00 0.112 = 0.7510 Now, the addition is: 11.012 + 0.112= 100.002 = 3.010 Now, the multiplication is: 11.012 * 0.112 = 1101 1101 10.01112 = 2.410