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minterms corresponding to decimal number 15 is(a)abcd(b)a'b'c'd(c)a+b+c+d(d)a'+b'+c'+d

Question

minterms corresponding to decimal number 15 is

(a) abcd
(b) a'b'c'd
(c) a + b + c + d
(d) a' + b' + c' + d

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Solution

The minterms corresponding to the decimal number 15 is (a) abcd.

Here's why:

In digital logic, a minterm is a specific combination of inputs resulting in a true output for a boolean function.

The decimal number 15 in binary is 1111.

If we assign each binary digit to a variable (a, b, c, d), we get a=1, b=1, c=1, d=1.

In boolean algebra, 1 is represented as the variable itself. Therefore, the minterm corresponding to the decimal number 15 is abcd.

So, the correct answer is (a) abcd.

This problem has been solved

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