The Boolean expression F(A,B,C) = ∑m(0,3,5,6)

The Boolean expression F(A,B,C) = ∑m(0,3,5,6) is in the canonical sum of products form. It represents a Boolean function F which is the sum of the minterms 0, 3, 5, and 6.

Here's how you can write it out step by step:

1. Write out the binary representations of the minterms. In this case, we have three variables A, B, and C. So, we write the minterms as three-bit binary numbers:

   m(0) = 000 (A'B'C') m(3) = 011 (A'BC) m(5) = 101 (AB'C) m(6) = 110 (ABC')

2. Write out the Boolean expression for each minterm. For each minterm, if a variable is 1, write the variable, and if a variable is 0, write the variable with a complement:

   m(0) = A'B'C' m(3) = A'BC m(5) = AB'C m(6) = ABC'

3. Combine the expressions for the minterms with a plus sign:

   F(A,B,C) = A'B'C' + A'BC + AB'C + ABC'

So, the Boolean expression F(A,B,C) = ∑m(0,3,5,6) can be written out as F(A,B,C) = A'B'C' + A'BC + AB'C + ABC'.