Convert the base 10 numeral to a numeral in the base indicated.
-13,562 to base 7
A) $54,353_7$
B) $54,121_7$
C) $53,456_7$
D) $53,743_7$

Question

Quizplus · Accepted Answer

To convert the decimal number 13,562 to base 7, we divide 13,562 by increasing powers of 7 and find the remainders at each step. The process is as follows:1. 13,562 ÷ 7 = 1937 remainder 12. 1937 ÷ 7 = 276 remainder 53. 276 ÷ 7 = 39 remainder 34. 39 ÷ 7 = 5 remainder 45. 5 ÷ 7 = 0 remainder 5 (since 5 is less than 7, we stop here)Reading the remainders from bottom to top gives us $54,353_7$, which matches option A.

Convert the Base 10 Numeral to a Numeral in the Base