1 Please Notice
Only final answers available.
Solutions and proofs not included.
Proofs for recursive sequences please refer to questions 6.34 and 6.35
in Shaum’s series.
For each sequence, the RANK for the first number is 0.
2 Binary Number Systems
1.
−10 ⇒001010 ⇒110101
−5⇒000101 ⇒111010
(−10) + (−5) = 110101 + 111010 = 101111 + 1 = 110000
2.
Definition −x⇒10n−x
Range [−5×10n−1,5×10n−1−1]
Arithmetic −21610 + 6510 = 106−216 + 65 = 999849
3.
Definition −x⇒8n−x
Range [−4×8n−1,4×8n−1−1]
Arithmetic −1208−278=
86−1208+ 86−278=
7776608+ 7777518=
17776318=
7776318
1
3 Boolean Algebra
2. ab0+bc +a0c0
1As we have only 6-digit, the highest is then filtered out.
1
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