Let f(a,b,c,d,e) be a Boolean function. Check which expression corresponds to the minterm 16 (m16) of the function
To determine which expression corresponds to the minterm 16 (m16) of the Boolean function f(a,b,c,d,e), we need to find the implicants that cover m16 and then convert those implicants back into an expression.
Here is a step-by-step explanation of how to approach this:
1. Convert m16 to binary form. Since m16 corresponds to the decimal number 16, its binary representation is "10000".
2. Group the variables a, b, c, d, and e with their respective positions in the binary representation of m16. In this case, we have: a=1, b=0, c=0, d=0, e=0.
3. Write out the minterm expression using the grouped variables. The minterm expression for m16 is then: f(a,b,c,d,e) = a'b'c'd'e.
So, the expression that corresponds to m16 is f(a,b,c,d,e) = a'b'c'd'e.
Note: The prime (') symbol represents the negation of a variable. In this case, a' means "not a" and b' means "not b".