Question
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(g) \( 10111+1111 \)

Ask by Chandler Pena. in South Africa
Feb 18,2025

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Answer

\( 10111 + 1111 = 11222 \)

Solution

Calculate or simplify the expression \( 10111+1111 \). Calculate the value by following steps: - step0: Calculate: \(10111+1111\) - step1: Add the numbers: \(11222\)

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To solve the binary addition of \( 10111 \) and \( 1111 \), it helps to align the numbers just like in decimal addition. Starting from the right, you add each column and carry any overflow to the next column. Here’s how it goes: 1. \( 1 + 1 = 10 \) (0, carry 1) 2. \( 1 + 1 + 1 (carry) = 11 \) (1, carry 1) 3. \( 0 + 1 + 1 (carry) = 10 \) (0, carry 1) 4. \( 1 + 0 + 1 (carry) = 10 \) (0, carry 1) 5. Lastly, you have \( 1 + 0 + 1 (carry) = 10 \) (0, carry 1) At the end, write down the carry as well. So, the final result is \( 100101 \).

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