1.16. Do the following modular computations. In each case, fill in the box with an integer between 0 and m - 1, where m is the modulus. (a) 347 +513 = (mod 763). (b) 3274 + 1238 + 7231 +6437 = (c) 153.287 = (mod 353). (mod 9254).

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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1.16. Do the following modular computations. In each case, fill in the box with an
integer between 0 and m- 1, where m is the modulus.
(a) 347 +513 =
(mod 763).
(b) 3274 + 1238 + 7231 +6437 =
(c) 153.287 =
(d) 357 862 193 =
(mod 353).
(f) 137²
(g) 3736
(h) 233.195.114 =
(mod 943).
(mod 8157).
(e) 5327 6135 7139 2187 5219 · 1873 =
(Hint. After each multiplication, reduce modulo 8157 before doing the next
multiplication.)
(mod 327).
(mod 581).
(mod 9254).
(mod 97).
Transcribed Image Text:1.16. Do the following modular computations. In each case, fill in the box with an integer between 0 and m- 1, where m is the modulus. (a) 347 +513 = (mod 763). (b) 3274 + 1238 + 7231 +6437 = (c) 153.287 = (d) 357 862 193 = (mod 353). (f) 137² (g) 3736 (h) 233.195.114 = (mod 943). (mod 8157). (e) 5327 6135 7139 2187 5219 · 1873 = (Hint. After each multiplication, reduce modulo 8157 before doing the next multiplication.) (mod 327). (mod 581). (mod 9254). (mod 97).
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