Convert the decimal number to the given base.
-359 to base two
A) $101011111 _ { \text {two } }$
B) $101100111 _ { \text {two } }$
C) $101101011 _ { \text {two } }$
D) $101100101 _ { \text {two } }$

Question

Quizplus · Accepted Answer

To convert 359 to base two, divide by 2 and record the remainders: 359 ÷ 2 = 179 remainder 1, 179 ÷ 2 = 89 remainder 1, 89 ÷ 2 = 44 remainder 1, 44 ÷ 2 = 22 remainder 0, 22 ÷ 2 = 11 remainder 0, 11 ÷ 2 = 5 remainder 1, 5 ÷ 2 = 2 remainder 1, 2 ÷ 2 = 1 remainder 0, 1 ÷ 2 = 0 remainder 1. Reading the remainders from bottom to top gives 101100111 in base two.

Convert the Decimal Number to the Given Base 101011111two 101011111 _ { \text {two } }101011111two ​

Convert the Decimal Number to the Given Base $101011111 _ { \text {two } }$