ted +n; the second will resemble ordinary multiplication and be De denoted Xn DEFINITION 4.7. Given p, q E {0, 1, 2, - . ,n – 1}, define: i) p +n q to be the remainder when p+q is divided by n, and ii) p Xn q to be the remainder when p x q is divided by n. These operations are referred to as addition mod(n) and multiplication mod(n), respectively. ACTIVITY 4.21. Use the above definitions to calculate each of the following in the set Z12. (a) 3+12 6 (b) 8 +12 7 (c) 3 x12 6 (d) 8 x12 7 -...pdf
ted +n; the second will resemble ordinary multiplication and be De denoted Xn DEFINITION 4.7. Given p, q E {0, 1, 2, - . ,n – 1}, define: i) p +n q to be the remainder when p+q is divided by n, and ii) p Xn q to be the remainder when p x q is divided by n. These operations are referred to as addition mod(n) and multiplication mod(n), respectively. ACTIVITY 4.21. Use the above definitions to calculate each of the following in the set Z12. (a) 3+12 6 (b) 8 +12 7 (c) 3 x12 6 (d) 8 x12 7 -...pdf
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:De denoted +n; the second will resemble ordinary multiplication and be
denoted xn.
DEFINITION 4.7. Given p, q € {0, 1, 2, · ·: ,n – 1}, define:
i) p+n q to be the remainder when p +q is divided by n, and
ii)
p Xn q to be the remainder when p x q is divided bu n.
These operations are referred to as addition mod(n) and multiplication
mod(n), respectively.
ACTIVITY 4.21. Use the above definitions to calculate each of the following in
the set Z12.
(a) 3+12 6
(b) 8 +12 7
(c) 3 ×12 6
(d) 8 x12 7
....pdf
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