Can you please help me find all the minimum sum of products for this expressionThanksLogic problem **Function Representation Using Sum of Minterms**In digital logic design, a function can be represented through a *sum of minterms*. Each minterm corresponds to a specific combination of input variables that makes the function evaluate to true (or 1).**Function f(a, b, c, d):**The function is defined as:\[ f(a, b, c, d) = \Sigma m(1, 2, 3, 5, 6, 7, 8, 11, 13, 15) \]Here, the Greek letter sigma (\(\Sigma\)) denotes the summation of specific minterms over the variables \(a\), \(b\), \(c\), and \(d\).**Explanation of Minterms:**Each number within the parentheses represents a minterm. A minterm is a specific combination of input variables that results in the output being true:- A binary function of four variables can have up to \(2^4 = 16\) minterms, numbered from 0 to 15.- The numbers listed (1, 2, 3, 5, 6, 7, 8, 11, 13, 15) references these minterms.- For each minterm number, the binary equivalent is used to map the combination of \(a, b, c,\) and \(d\).For example:- Minterm 1 corresponds to a situation such as \((a', b', c', d)\) if mapped directly to binary (0001).- Similarly, minterm 15 corresponds to \((a, b, c, d)\) (1111).To implement such a function, each minterm would be translated into a product (AND) term of literals, with each input variable appearing in true or complemented form, depending on the binary representation of the minterm index. These individual terms are then summed (ORed) together to yield the final function.

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d) f(a,b,c,d) = Em(1,2,3,5,6,7,8,11,13,15)

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Can you please help me find all the minimum sum of products for this expression Thanks Logic problem

**Function Representation Using Sum of Minterms**

In digital logic design, a function can be represented through a *sum of minterms*. Each minterm corresponds to a specific combination of input variables that makes the function evaluate to true (or 1).

**Function f(a, b, c, d):**

The function is defined as:

\[ f(a, b, c, d) = \Sigma m(1, 2, 3, 5, 6, 7, 8, 11, 13, 15) \]

Here, the Greek letter sigma (\(\Sigma\)) denotes the summation of specific minterms over the variables \(a\), \(b\), \(c\), and \(d\).

**Explanation of Minterms:**

Each number within the parentheses represents a minterm. A minterm is a specific combination of input variables that results in the output being true:

- A binary function of four variables can have up to \(2^4 = 16\) minterms, numbered from 0 to 15.
- The numbers listed (1, 2, 3, 5, 6, 7, 8, 11, 13, 15) references these minterms.
- For each minterm number, the binary equivalent is used to map the combination of \(a, b, c,\) and \(d\).

For example:
- Minterm 1 corresponds to a situation such as \((a', b', c', d)\) if mapped directly to binary (0001).
- Similarly, minterm 15 corresponds to \((a, b, c, d)\) (1111).

To implement such a function, each minterm would be translated into a product (AND) term of literals, with each input variable appearing in true or complemented form, depending on the binary representation of the minterm index. These individual terms are then summed (ORed) together to yield the final function.

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