Minterm | Maxterm 1. Given the truth table of F(A,B,C) on the right, determine the following: a. Express F as a minterm expansion in boolean expression. b. Express F as a minterm expansion in m-notation. c. Express F as a maxterm expansion in boolean expression. Express F as a maxterm expansion in M-notation d. ABCF 000 1 001 1 0101 0110 1000 1010 1101 11 11

Electric Motor Control
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Chapter22: Sequence Control
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Minterm | Maxterm
1. Given the truth table of F(A,B,C) on the right, determine the following:
a. Express F as a minterm expansion in boolean expression.
b. Express F as a minterm expansion in m-notation.
c. Express F as a maxterm expansion in boolean expression.
d. Express F as a maxterm expansion in M-notation
1
A B CF
000 1
0 0 1
01 0 1
01 10
1 000
1 010
1101
1 1 1 1
3. Each of three coins has two sides, heads and tails. Represent the heads or tails status of each coin by a
logical variable (A for the first coin, B for the second coin, and C for the third) where the logical variable
is 1 for heads and 0 for tails. Write a logic function F(A, B, C) which is 1 if and only if exactly one of the
coins is heads after a toss of the coins.
a.
Express F as a minterm expansion in boolean expression.
Express F as a minterm expansion in m-notation.
b.
c. Express F as a maxterm expansion in boolean expression.
Express F as a maxterm expansion in M-notation
d.
Transcribed Image Text:Minterm | Maxterm 1. Given the truth table of F(A,B,C) on the right, determine the following: a. Express F as a minterm expansion in boolean expression. b. Express F as a minterm expansion in m-notation. c. Express F as a maxterm expansion in boolean expression. d. Express F as a maxterm expansion in M-notation 1 A B CF 000 1 0 0 1 01 0 1 01 10 1 000 1 010 1101 1 1 1 1 3. Each of three coins has two sides, heads and tails. Represent the heads or tails status of each coin by a logical variable (A for the first coin, B for the second coin, and C for the third) where the logical variable is 1 for heads and 0 for tails. Write a logic function F(A, B, C) which is 1 if and only if exactly one of the coins is heads after a toss of the coins. a. Express F as a minterm expansion in boolean expression. Express F as a minterm expansion in m-notation. b. c. Express F as a maxterm expansion in boolean expression. Express F as a maxterm expansion in M-notation d.
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