3. Suppose b > 1 is an integer. The proof of the existence of a base b representation of any integer n can be modified to prove that there are integers ao, a1, ..., ap such that = a,(-b)º + ap-1(-b)P-1 + .. + a2(-b)² + a;(-b) + ao and 0 < a; < b. Write a) 714-8 in decimal b) 1035_, in decimal c) 97 in base -2 d) -883 in base -10

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ISBN:9780470458365
Author:Erwin Kreyszig
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3. Suppose b > 1 is an integer. The proof of the existence of a base b representation of any integer n
can be modified to prove that there are integers ao, a1, ... , a, such that
п %3D а, (-b)Р + ар-1(-b)?-1 + ....
+ a2(-b)² + a1(-b) + ao
n =
and 0 < a; < b. Write a) 714_g in decimal b) 1035-7 in decimal c) 97 in base –2 d) –883 in
base –10
Transcribed Image Text:3. Suppose b > 1 is an integer. The proof of the existence of a base b representation of any integer n can be modified to prove that there are integers ao, a1, ... , a, such that п %3D а, (-b)Р + ар-1(-b)?-1 + .... + a2(-b)² + a1(-b) + ao n = and 0 < a; < b. Write a) 714_g in decimal b) 1035-7 in decimal c) 97 in base –2 d) –883 in base –10
97 in bage -2
qse +2
97
Transcribed Image Text:97 in bage -2 qse +2 97
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