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Calculate 110101₂ + 010111₂ using binary addition. Show the carries and give the final answer.

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

Question

Type

practice

Style

Topic

Binary number system

Exam-style question

Try this first

Calculate 110101₂ + 010111₂ using binary addition. Show the carries and give the final answer.

Model answer

What a good answer should say

  • 110101₂ + 010111₂ = 100110₂.

Explanation

Why this works

Starting at the right, 1 + 1 gives 0 with a carry of 1. The next column is 0 + 1 + 1 = 10₂, giving 0 with a carry.

Continuing from right to left produces the result 100110₂. As a check, 110101₂ is 53 and 010111₂ is 23, giving 76, which is 100110₂.

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