[1] Consider a Boolean Algebra Show that (a) xy+xz+yz=x.y + x'.z (b) (a+b)'(a'+by=0 [2] Algebraically simply the following expressions: (a) F=abc + abc + ab'c+abe'+ab'e (b) F=y(wz wz) + xy [3] Simplify the following Boolean expressions to a minimum number of literals: (a) xy + xy (b) (x+y)(x + 9) (c) xyz + 2y + xyz (d) (A+B) (A + B) [4] Reduce the following Boolean expressions to the indicated number of literals: (a) XC + ABC + AC (b) (19+2)+z+ xy +wx (c) AB(D+CD) + B(A + ACD) (d) (+C)(+C)(A + B + CD) [5] Find the complement of the following expressions: (a) xỹ + Ry (b)(a + c)(a + b)(a + b + c) (c) z+ 2(0w + xy) (d) (w +92)(x + Wz) [6] Given F= ab + b(ad + ac) implement it with AND, OR and inverter gates. [7] Implement the Boolean function F = xy +9z (a) With AND, OR, and inverter gates (b) With OR and inverter gates (c) With AND and inverter gates (d) With NAND and inverter gates (e) With NOR and inverter gates to three literals. to three literals. to one literals. to four literals.
[1] Consider a Boolean Algebra Show that (a) xy+xz+yz=x.y + x'.z (b) (a+b)'(a'+by=0 [2] Algebraically simply the following expressions: (a) F=abc + abc + ab'c+abe'+ab'e (b) F=y(wz wz) + xy [3] Simplify the following Boolean expressions to a minimum number of literals: (a) xy + xy (b) (x+y)(x + 9) (c) xyz + 2y + xyz (d) (A+B) (A + B) [4] Reduce the following Boolean expressions to the indicated number of literals: (a) XC + ABC + AC (b) (19+2)+z+ xy +wx (c) AB(D+CD) + B(A + ACD) (d) (+C)(+C)(A + B + CD) [5] Find the complement of the following expressions: (a) xỹ + Ry (b)(a + c)(a + b)(a + b + c) (c) z+ 2(0w + xy) (d) (w +92)(x + Wz) [6] Given F= ab + b(ad + ac) implement it with AND, OR and inverter gates. [7] Implement the Boolean function F = xy +9z (a) With AND, OR, and inverter gates (b) With OR and inverter gates (c) With AND and inverter gates (d) With NAND and inverter gates (e) With NOR and inverter gates to three literals. to three literals. to one literals. to four literals.
C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter7: Arrays
Section7.5: Case Studies
Problem 15E
Related questions
Question
![Kingdom of Saudi Arabia
Ministry of Education
Taif University,
College of Computers & Information Technology
Digital Logic Design
503221-4
Assignment 2
[1] Consider a Boolean Algebra <B.+..,0,1> Show that
(a) x.y+xz+yz=x.y + x¹.z
(b) (a+b)'(a'+by' = 0
(x+y)(x + y)
(c) xyz + xy + xyz
(d) (A+B) (A + B)
[2] Algebraically simply the following expressions:
(a) F=abc + abc + ab'c +abc' + a'b'c'
(b) F=y(wz wz) + xy
[3] Simplify the following Boolean expressions to a minimum number of literals!
(a) xy + xy
(b)
(a) AC + ABC +
(b) (79+z)+z+ xy +wx
(c) AB(D+CD) + B(A + ACD)
(d) (A+C)(A+C)(A + B + CD)
[5] Find the complement of the following expressions:
[4] Reduce the following Boolean expressions to the indicated number of literals:
AC
(a) xy + xy
(b)(a + c)(a + b)(a + b + c)
(c) z + Z(0w + xy)
(d) (w+yz)(x + Wz)
المملكة العربية السعودية
وزارة التعليم
جامعة الملف
[6] Given F = ab + b(ad + ac) implement it with AND, OR and inver
[7] Implement the Boolean function
F = xy + yz
(a) With AND, OR, and inverter gates
(b) With OR and inverter gates
(c) With AND and inverter gates
(d) With NAND and inverter gates
(e) With NOR and inverter gates
Assignment 2
كلية الحاسبات وتقنية المعلومات
تصميم منطقي رقعي
1444-1443
to three literals.
to three literals.
to one literals.
to four literals.
gates.
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Transcribed Image Text:Kingdom of Saudi Arabia
Ministry of Education
Taif University,
College of Computers & Information Technology
Digital Logic Design
503221-4
Assignment 2
[1] Consider a Boolean Algebra <B.+..,0,1> Show that
(a) x.y+xz+yz=x.y + x¹.z
(b) (a+b)'(a'+by' = 0
(x+y)(x + y)
(c) xyz + xy + xyz
(d) (A+B) (A + B)
[2] Algebraically simply the following expressions:
(a) F=abc + abc + ab'c +abc' + a'b'c'
(b) F=y(wz wz) + xy
[3] Simplify the following Boolean expressions to a minimum number of literals!
(a) xy + xy
(b)
(a) AC + ABC +
(b) (79+z)+z+ xy +wx
(c) AB(D+CD) + B(A + ACD)
(d) (A+C)(A+C)(A + B + CD)
[5] Find the complement of the following expressions:
[4] Reduce the following Boolean expressions to the indicated number of literals:
AC
(a) xy + xy
(b)(a + c)(a + b)(a + b + c)
(c) z + Z(0w + xy)
(d) (w+yz)(x + Wz)
المملكة العربية السعودية
وزارة التعليم
جامعة الملف
[6] Given F = ab + b(ad + ac) implement it with AND, OR and inver
[7] Implement the Boolean function
F = xy + yz
(a) With AND, OR, and inverter gates
(b) With OR and inverter gates
(c) With AND and inverter gates
(d) With NAND and inverter gates
(e) With NOR and inverter gates
Assignment 2
كلية الحاسبات وتقنية المعلومات
تصميم منطقي رقعي
1444-1443
to three literals.
to three literals.
to one literals.
to four literals.
gates.
Page 1 of 2
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