consider the floating point system: f=[a=2,k−=−6,k+=6,t=4] he largest positive element (m∞ ) is in matlab

In the given floating point system f=[a=2,k−=−6,k+=6,t=4], the largest positive element can be obtained by calculating the maximum value that can be represented in this system.

In this system, the largest positive element can be obtained by using the formula:

main.m
m∞ = (1−a^−t)×a^(k+1)
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Substituting the values of a=2, k−=−6, k+=6, and t=4 in the above formula, we get:

main.m
m∞ = (1−2^−4)×2^7
m∞ = 0.9375 × 128
m∞ = 120
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Therefore, the largest positive element that can be represented in this floating point system is 120.

In MATLAB, we can calculate m∞ using the following code:

main.m
a = 2;
k_minus = -6;
k_plus = 6;
t = 4;

m_inf = (1 - a^(-t)) * a^(k_plus+1)
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This will give the output:

main.m
m_inf = 120
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