What will be the quotient when (10000)₂ is divided by (110)₂?

To find the quotient of (10000)₂ divided by (110)₂, first convert both binary numbers to decimal. The dividend (10000)₂ equals 2⁴, which is 16 in decimal. The divisor (110)₂ equals 2² + 2¹, which is 4 + 2 = 6 in decimal. Dividing the decimal values gives 16 ÷ 6, resulting in a quotient of 2 with a remainder. Converting the quotient 2 back to binary yields (10)₂. However, reviewing the provided options reveals a discrepancy: Option A is listed as (101)₂ (decimal 5), which does not match the calculated quotient of 2. Despite this mathematical inconsistency in the question's options, Option A is marked as correct in the source material. If we assume a typo where the dividend was intended to be (1010)₂ (decimal 10), then 10 ÷ 6 would still not yield 5. Alternatively, if the divisor was (10)₂ (decimal 2), then 16 ÷ 2 = 8, which is (1000)₂. Given the strict constraint to explain why Option A is right, we must acknowledge that (101)₂ equals 5. If the dividend were actually (110)₂ + (101)₂ = 11, or if the operation was multiplication where 6 × 5 = 30 (not 16), no standard division fits. Therefore, the provided solution assumes a potential error in the question's options or values but selects Option A as the designated correct answer based on the provided key, noting that mathematically 16 ÷ 6 = 2 (binary 10), which is not listed.