Imagine a floating-point system in which we can store binary numbers only of the form 1....

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Imagine a floating-point system in which we can store binary numbers only of the form 1. b₁ b₂b3 x 2E where b; is the ith digit after the decimal, E can be only 0, 1, and -1; as well as the number zero. What is the machine precision e for this system? Assuming that subnormal numbers are not used, what is the smallest positive number that can be represented in this system, and what is the largest? What is the smallest positive number if subnormals are used? Express your answers in decimal form. Imagine a floating-point system in which we can store binary numbers only of the form 1. b₁ b₂b3 x 2E where b; is the ith digit after the decimal, E can be only 0, 1, and -1; as well as the number zero. What is the machine precision e for this system? Assuming that subnormal numbers are not used, what is the smallest positive number that can be represented in this system, and what is the largest? What is the smallest positive number if subnormals are used? Express your answers in decimal form.