2 (a) (b) (c) (d) The truth table of a Boolean function F(A,B,C) is given below ABC F 0 0 0 0 1 1 1 1 000 0 1 0 1 0 1 1 1 1 0 0 1 0 11 1 0 0 1 1 1 Table 1: Truth Table for F Write down an expression for F in terms of minterms (minterm expansion). Write down an expression for F in terms of maxterms (maxterm expansion). Write down an expression for F' in terms of minterms. Using summation (Σm;) and product (IIM;) notation, show that the maxterm expansion of F has the same indices as the minterm expansion of F'. (Hint: Note the minterm A'B'C' = mo with index 0)
2 (a) (b) (c) (d) The truth table of a Boolean function F(A,B,C) is given below ABC F 0 0 0 0 1 1 1 1 000 0 1 0 1 0 1 1 1 1 0 0 1 0 11 1 0 0 1 1 1 Table 1: Truth Table for F Write down an expression for F in terms of minterms (minterm expansion). Write down an expression for F in terms of maxterms (maxterm expansion). Write down an expression for F' in terms of minterms. Using summation (Σm;) and product (IIM;) notation, show that the maxterm expansion of F has the same indices as the minterm expansion of F'. (Hint: Note the minterm A'B'C' = mo with index 0)
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Transcribed Image Text:(₂
(a)
(b)
(c)
(d)
The truth table of a Boolean function F(A,B,C) is given below
ABCF
0
0
0
0
1 0
1
0
1
1
1
1
0 0
1
01
1
1 0 0
1 1 1
0
0
0
0
1
1
1
1
Table 1: Truth Table for F
Write down an expression for F in terms of minterms (minterm expansion).
Write down an expression for F in terms of maxterms (maxterm expansion).
Write down an expression for F' in terms of minterms.
Using summation (Σm;) and product (IIM;) notation, show that the maxterm
expansion of F has the same indices as the minterm expansion of F'. (Hint: Note the
minterm A'B'C' = mo with index 0)
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