Simplity the following expressions using Boolean algebra. (a) x- ABC+ AC (b) y= (0+ AX+ R) () ABC+ ABC+ A

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CE 213: DIGITAL LOGIC AND DESIGN
11. Determine the minimum epresion for each Kmap in the following figures.
12. Use the Kmag method to implement the simplest SOP pression for the logic function
specified in the following Table.
AB
13. Simpity e epressions below using Kmap.
14 Use a Karnaugh map to minimiae the tolilowing standard soPpression
Transcribed Image Text:CE 213: DIGITAL LOGIC AND DESIGN 11. Determine the minimum epresion for each Kmap in the following figures. 12. Use the Kmag method to implement the simplest SOP pression for the logic function specified in the following Table. AB 13. Simpity e epressions below using Kmap. 14 Use a Karnaugh map to minimiae the tolilowing standard soPpression
February 15, 202I
Dr. Al-Amin hwiyan
mbhwiywa kfu.edu. sa
Page I of 4
CE 213: DIGITAL LOGIC AND DESIGN
1. Simplify the following expressions using Boolean algebra
(a) x- ABC + AC
(b) y= (Q+ KXQ+R)
(C) - ABc+ AliC + A
(d) g k OR+S+D
(e) x- ABC + AnC + ABC+ ARC + AHC
() y- tC+ + ACD + ABC + ABCD+ ACD
(h) x AB (CD) + AND + BCD
2. Simplify the following circuit using Boolean algebra.
3. Develop a truth table for each of the SOP expressions:
a A ABC + AC + ABC
4. Design the logic circuit corresponding to the truth table shown in Table 1
Table I
ABI CX
0
5. Design a logic circuit whose output is HIGH only when a majority of inputs A, B, and C are
LOW.
CE 213: DIGITAL LOGIC AND DESIGN
6. Develop a logic circuit with four input variables (A B. C, and D) that willl only produce a1
output when exactly three input variables are 1s.
7. A four-bit binary number is represented as AJAZA1A0 where A3, A2, A1 and AO represent
the individual bits and AO is equal to the LSB. Design a logic circuit that will produce a HIGH
output whenever the binary number is greater than 0010 and less than 1000.
8. Determine the minimum expression for each K map for the following figure.
čo čo co că
čo čo |co Jcol
AB IO
ÄB 0
AB O00 0
AB
AB
la
(bi
9. Determine the minimum expression for each K map for the following figures.
Co čo co co
AB
Co Co co co
AB
ele
ABO
AB
A
AB
(b)
10. Simplify the expressions below using Kmap
x- ABC + ABC + ABC + ABT + AĒC
y- (C+ D + ACD+ ANC + ABCD + ACD
x- AB CD) + AnD + BED
CE 213: DIGITAL LOGIC AND DESIGN
Transcribed Image Text:February 15, 202I Dr. Al-Amin hwiyan mbhwiywa kfu.edu. sa Page I of 4 CE 213: DIGITAL LOGIC AND DESIGN 1. Simplify the following expressions using Boolean algebra (a) x- ABC + AC (b) y= (Q+ KXQ+R) (C) - ABc+ AliC + A (d) g k OR+S+D (e) x- ABC + AnC + ABC+ ARC + AHC () y- tC+ + ACD + ABC + ABCD+ ACD (h) x AB (CD) + AND + BCD 2. Simplify the following circuit using Boolean algebra. 3. Develop a truth table for each of the SOP expressions: a A ABC + AC + ABC 4. Design the logic circuit corresponding to the truth table shown in Table 1 Table I ABI CX 0 5. Design a logic circuit whose output is HIGH only when a majority of inputs A, B, and C are LOW. CE 213: DIGITAL LOGIC AND DESIGN 6. Develop a logic circuit with four input variables (A B. C, and D) that willl only produce a1 output when exactly three input variables are 1s. 7. A four-bit binary number is represented as AJAZA1A0 where A3, A2, A1 and AO represent the individual bits and AO is equal to the LSB. Design a logic circuit that will produce a HIGH output whenever the binary number is greater than 0010 and less than 1000. 8. Determine the minimum expression for each K map for the following figure. čo čo co că čo čo |co Jcol AB IO ÄB 0 AB O00 0 AB AB la (bi 9. Determine the minimum expression for each K map for the following figures. Co čo co co AB Co Co co co AB ele ABO AB A AB (b) 10. Simplify the expressions below using Kmap x- ABC + ABC + ABC + ABT + AĒC y- (C+ D + ACD+ ANC + ABCD + ACD x- AB CD) + AnD + BED CE 213: DIGITAL LOGIC AND DESIGN
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