Binary Arithmetic Flashcards

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Note: We may include questions that have multiple correct answers. It's useful to remember specific examples to understand these concepts better.

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What are the rules for adding two single binary digits (bits)?

0+0=0, 0+1=1, 1+0=1, 1+1=10 (write 0, carry 1).

An extra 1 you pass to the next column when a column adds to 2 or 3.

Start at the rightmost bit and move left.

Line up the bits. Add each column from right to left. If a column totals 2, write 0 and carry 1. If it totals 3, write 1 and carry 1.

The answer needs more bits than the set size, so the extra 1 beyond the leftmost bit is lost.

There is a carry out of the leftmost bit.

1000 (no overflow).

10000010 (no overflow).

0000 with overflow (a carry out of the leftmost bit).

Write 1 and carry 1, because 3 in binary is 11.