Convert the number to decimal form. -160_seven A)1120 B)49 C)91 D)637

Question

Quizplus · Accepted Answer

The given number is in a base-7 system (indicated by the 'seven' in the number). To convert it to decimal, we use the positions of the digits (from right to left, starting with 0) and multiply each digit by 7 raised to its position power. The number is 16051 (ignoring the letters S, U, and B which seem to be placeholders). Converting: $1*7^4 + 6*7^3 + 0*7^2 + 5*7^1 + 1*7^0 = 2401 + 2058 + 0 + 35 + 1 = 4495$. However, none of the provided options match this calculation, indicating a potential misunderstanding of the question's format or a typo in the provided number or options. Given the options, none directly match the correct conversion of the provided sequence if interpreted strictly as a base-7 number. The correct interpretation based on the options given and a likely misinterpretation of the question would lead to a different answer, but based on the standard conversion method, none of the options match.

Convert the Number to Decimal Form