Question

The decimal numbering system contains digits __________, while the octal numbering system contains digits __________.

A) 0, 1, 2, 3, 4, 5, 6, 7, 8, 9; 0, 1, 2, 3, 4, 5, 6, 7

B) 1, 2, 3, 4, 5, 6, 7, 8, 9; 0, 1, 2, 3, 4, 5, 6, 7

C) 0, 1, 2, 3, 4, 5, 6, 7; 1, 2, 3, 4, 5, 6, 7, 8, 9

D) 0, 1, 2, 3, 4, 5, 6, 7, 8; 0, 1, 2, 3, 4, 5, 6, 7

Answer 1

The decimal system uses digits 0-9 and the octal system uses digits 0-7. Answer A is correct.

Step-by-step explanation:

The decimal numbering system contains digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, while the octal numbering system contains digits 0, 1, 2, 3, 4, 5, 6, 7. Therefore, the correct answer is option A) 0, 1, 2, 3, 4, 5, 6, 7, 8, 9; 0, 1, 2, 3, 4, 5, 6, 7. The decimal system is based on powers of ten, which likely stems from humans counting with their ten fingers. In contrast, an octal system is based on powers of eight and includes only the digits up to 7.