Binary arithmetic – division practice Compute the integer result of the binary division 01000110 ÷ 00001010.

Introduction / Context:Binary division mirrors decimal long division but is applied to base-2 numbers. This exercise reinforces number-base conversions and binary arithmetic skills widely used in digital logic and computer architecture.

Given Data / Assumptions:

• Dividend: 01000110 (binary).
• Divisor: 00001010 (binary).
• We seek the integer quotient; fractional remainder is ignored.
• No signed arithmetic (both are treated as unsigned).

Concept / Approach:Convert to decimal to verify, or perform binary long division directly. 01000110 is 70 in decimal. 00001010 is 10 in decimal. Therefore, 70 / 10 = 7. In binary, 7 is 0111.

Step-by-Step Solution:Check magnitudes: 01000110 (70) ≥ 00001010 (10).Determine quotient: 70 / 10 = 7.Convert 7 to binary: 7 = 4 + 2 + 1 → 0111.Confirm via binary long division if desired: successive subtract-shifts yield remainder 0 and quotient 0111.

Verification / Alternative check:Back-multiply: 0111 (7) * 00001010 (10) = 01110010 (decimal 70) with remainder 0, matching the original dividend.

Why Other Options Are Wrong:10011 (19) and 1001 (9) are not equal to 7; they mismatch the decimal check.0011 (3) is too small; 3 * 10 = 30 ≠ 70.0000 (0) is incorrect since the dividend is larger than the divisor.

Common Pitfalls:Dropping leading zeros and misreading values, or confusing binary 1010 (10) with decimal 1010. Always verify by converting both numbers to the same base for a quick sense check.

Final Answer:0111