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# K Map Essay

1912 words - 8 pages

Exam
Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1)

Using Boolean algebra to simplify the expression Z = AB + A(B + C) + B(B + C), the completed first step would result in the expression:

1)

_______
A)

Z = AB + ABAC + BB + BC
B)

Z = AA + AB + AB + AC + BB + BC
C)

Z = AB + AB + AC + BB + BC
D)

Z = AB + AB + C + BB + C

2)

Which of the following voltage ranges defines acceptable low-level input for a CMOS IC?

2)

_______
A)

0 - 2 V

B)

2 - 5 V

C)

0 - 0.8 V

D)

0 - 1.5 V

3)

Simplifying logic circuits ...view middle of the document...

B)

Variables within the loop that appear in both complemented and uncomplemented form.
C)

Variables that remain unchanged within the loop.
D)

Variables within the loop that appear only in their complemented form.

10)

ULSI circuits contain:

10)

______
A)

100,000 to 999,999 gates.

B)

10,000 to 99,999 gates.
C)

1,000,000 or more gates.

D)

100 to 9,999 gates.

11)

The logic gate that produces a HIGH output whenever its two inputs are equal is the:

11)

______
A)

Exclusive OR.

B)

Exclusive NOR.
C)

Neither A or B

D)

Both A and B

Table 4-1
L|M|N|Z|
0|0|0|0|
0|0|1|0|
0|1|0|1|
0|1|1|0|
1|0|0|1|
1|0|1|0|
1|1|0|1|
1|1|1|0|

12)

Actual circuit implementation of the sum-of-products expression for Table 4-1 would require (as a minimum):

12)

______
A)

Three 3-input AND gates, one 3-input OR gate, and three inverters
B)

Three 3-input OR gates, one 2-input AND gate, and five inverters
C)

Three 3-input AND gates, two 3-input OR gates, and five inverters
D)

One 3-input OR gate, two 3-input AND gates, and five inverters

13)

Using Boolean algebra, the original expression for Table 4-1 simplifies to:

13)

______
A)

Z = M + L

B)

Z =
C)

Z = L + M

D)

Z = L + L M

14)

Select the statement that best describes the use of "Don't Care" conditions on a K-map.

14)

______
A)

Don't Care conditions may only be changed to 1s.
B)

Don't Care conditions may only be changed to 0s.
C)

Don't Care conditions may be changed to either a 0 or a 1.
D)

Don't Care conditions should never occur and should not be included in K-map simplification procedures.

Table 4-1
L|M|N|Z|
0|0|0|0|
0|0|1|0|
0|1|0|1|
0|1|1|0|
1|0|0|1|
1|0|1|0|
1|1|0|1|
1|1|1|0|

15)

The truth table in Table 4-1 indicates that:

15)

______
A)

The output (Z) is HIGH only when the binary input count is an odd number.
B)

The output (Z) is HIGH only when a single input is HIGH.
C)

The output (Z) is HIGH only when the binary input count is an even number greater than zero.
D)

The output (Z) is HIGH only when the majority of the inputs are HIGH.

16)

Using Boolean algebra, the complete simplification of Z = (D + E + F) (D + E + F) gives us:

16)

______
A)

Z = (EF)

B)

Z = (D + E)
C)

Z =

D)

Z = + E

17)

Each "1" in a K-map square represents:

17)

______
A)

An input combination that results in a DON'T CARE grouping.
B)

An input combination that results in a LOW output.
C)

An input combination that results in a HIGH output.
D)

None of the above.

18)

GSI integrated circuits contain:

18)

______
A)

103 or more gates.

B)

109 or more gates.
C)

106 or more gates.

D)

none of the above

K-map 4-1
| | D|C D|C |
...

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