• There are 5 variables for this problem: 4 - xo • The most significant(leftmost) variable is 4 and the least significant (rightmost) is o o This would mean that m12 is 4x3 X 2 X 1 X • Don't cares are given as di o For example d5 means that we don't care what the output is when x4 = x₁ = 0, and x = 1 Select the simplest SOP form of Σ(mo, d3, m2, m4, d6, d7, m8, mg, m10, m11, d14, d15, d17, d19, d20, m21, m22, 23, d28, m29, m31) Again simplest SOP. 1. x4x30 + x4X3X2 + X4X3 x 2 + x 4 x 2 x 0 2. X4 (F3ÑO + X3 X2) + X4X2(X3 + xo) 3. x4x2x + x4 X 3 X 1 + X 3 X 2 X 1 X 0 + X4 X 3 X0 + x4 X2 X0 + x4 X 3 X 2 X 0 4. x4x3 + x4 X2X1 + X 3 X2 ÃO 5.4x3x2 + 4X 3 X0 + X4 X2 X0 6. 4x3 x + x 3 X 2 X0 + X 4 X 3 x 2 7. X₁ X3 X2 + x^X₂Xo+ F₁2 F₁ + x3 x 2x1 0, x3 = 0, x₂ = 1, + X4 X 2 X0 + X3 X2 To

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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• There are 5 variables for this problem: 4
xo
• The most significant(leftmost) variable is x4 and the least significant (rightmost) is xo
o This would mean that m12 is x 4 x 3 x 2T 1 TO
• Don't cares are given as di
o For example d5 means that we don't care what the output is when x4 = 0, x3 = 0, x₂ = 1,
x1 = 0, and co = 1
Select the simplest SOP form of
Σ(mo, d3, m2, m4, d6, d7, m8, m9, m10, m11, d14, d15, d17, d19, d20, m21, M22, m23, d28, M29, m31)
Again simplest SOP.
-
1. x4x3x + x 4 x 3 x 2 + x 4 x 3 x 2 + x4 x 2X0
2. x4 (3x + x3 X 2) + X4 X2 (X3 + x0)
3. x4x2x + x 4 X 3 X1 + X 3 X 2 X 1 X 0 + x 4 X 3 X0 + x4 x 2 x 0 + X 4 X 3 X 2 X 0
4. 4x3 + x4x2x1 + x3 x 2 x 0
5.4 x3x2 + 43 Ñ0
+ X4 X2 X0
6. x4x30 + x 3 x 2 x 0 + x 4 x 3 x 2
7. x4 x 3 x 2 + x 4 x 2 x 0 + x 4 x 2 x 0
+ X3 X2X1
+ x 4 x 2 x 0
+ x 3 x 2 x 0
Transcribed Image Text:• There are 5 variables for this problem: 4 xo • The most significant(leftmost) variable is x4 and the least significant (rightmost) is xo o This would mean that m12 is x 4 x 3 x 2T 1 TO • Don't cares are given as di o For example d5 means that we don't care what the output is when x4 = 0, x3 = 0, x₂ = 1, x1 = 0, and co = 1 Select the simplest SOP form of Σ(mo, d3, m2, m4, d6, d7, m8, m9, m10, m11, d14, d15, d17, d19, d20, m21, M22, m23, d28, M29, m31) Again simplest SOP. - 1. x4x3x + x 4 x 3 x 2 + x 4 x 3 x 2 + x4 x 2X0 2. x4 (3x + x3 X 2) + X4 X2 (X3 + x0) 3. x4x2x + x 4 X 3 X1 + X 3 X 2 X 1 X 0 + x 4 X 3 X0 + x4 x 2 x 0 + X 4 X 3 X 2 X 0 4. 4x3 + x4x2x1 + x3 x 2 x 0 5.4 x3x2 + 43 Ñ0 + X4 X2 X0 6. x4x30 + x 3 x 2 x 0 + x 4 x 3 x 2 7. x4 x 3 x 2 + x 4 x 2 x 0 + x 4 x 2 x 0 + X3 X2X1 + x 4 x 2 x 0 + x 3 x 2 x 0
• There are 5 variables for this problem: A - E
• The most significant(leftmost) variable is A and the least significant (rightmost) is E
o This would mean that M₁2 is A+B+C+D+E
• Don't cares are given as di
o For example d5 means that we don't care what the output is when A=0, B = 0, C = 1,
D = 0, and E
1
Select the simplest POS form of
II(M1, M3, d5, d7, M9, M11, d13, d15, d16, 17, d18, d19, d21, d23, d24, d25, d26, d27, d29, d31)
Again simplest POS.
OE. (C+A)
Ο Α. (B+C)
O E. (C + A)
Ο Ε·
-
C + B +
A)
Transcribed Image Text:• There are 5 variables for this problem: A - E • The most significant(leftmost) variable is A and the least significant (rightmost) is E o This would mean that M₁2 is A+B+C+D+E • Don't cares are given as di o For example d5 means that we don't care what the output is when A=0, B = 0, C = 1, D = 0, and E 1 Select the simplest POS form of II(M1, M3, d5, d7, M9, M11, d13, d15, d16, 17, d18, d19, d21, d23, d24, d25, d26, d27, d29, d31) Again simplest POS. OE. (C+A) Ο Α. (B+C) O E. (C + A) Ο Ε· - C + B + A)
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