0 added
0 removed
Original
2026-01-01
Modified
2026-02-28
1
<p>The following are the methods for subtracting binary numbers:</p>
1
<p>The following are the methods for subtracting binary numbers:</p>
2
<p><strong>Method 1: Borrowing Method</strong></p>
2
<p><strong>Method 1: Borrowing Method</strong></p>
3
<p>Step 1: Align the binary numbers, ensuring the digits line up correctly.</p>
3
<p>Step 1: Align the binary numbers, ensuring the digits line up correctly.</p>
4
<p>Step 2: Starting from the rightmost bit, subtract each corresponding bit.</p>
4
<p>Step 2: Starting from the rightmost bit, subtract each corresponding bit.</p>
5
<p>Step 3: Borrow from the next higher digit when subtracting 1 from 0.</p>
5
<p>Step 3: Borrow from the next higher digit when subtracting 1 from 0.</p>
6
<p><strong>Example:</strong>Subtract 1010 from 1101.</p>
6
<p><strong>Example:</strong>Subtract 1010 from 1101.</p>
7
<p>Step 1: 1101 -1010</p>
7
<p>Step 1: 1101 -1010</p>
8
<p>Step 2: Start from the right, subtract 0 - 0 = 0.</p>
8
<p>Step 2: Start from the right, subtract 0 - 0 = 0.</p>
9
<p>Step 3: Move left, subtract 1 - 1 = 0.</p>
9
<p>Step 3: Move left, subtract 1 - 1 = 0.</p>
10
<p>Step 4: Continue, 0 - 0 = 0.</p>
10
<p>Step 4: Continue, 0 - 0 = 0.</p>
11
<p>Step 5: Finally, 1 - 1 = 0.</p>
11
<p>Step 5: Finally, 1 - 1 = 0.</p>
12
<p>Answer: 0011</p>
12
<p>Answer: 0011</p>
13
<p><strong>Method 2: Complement Method</strong></p>
13
<p><strong>Method 2: Complement Method</strong></p>
14
<p>This method involves using binary complements and<a>addition</a>to perform subtraction.</p>
14
<p>This method involves using binary complements and<a>addition</a>to perform subtraction.</p>
15
<p>Step 1: Find the two's complement of the subtrahend (the number being subtracted).</p>
15
<p>Step 1: Find the two's complement of the subtrahend (the number being subtracted).</p>
16
<p>Step 2: Add the two's complement to the minuend (the number from which to subtract).</p>
16
<p>Step 2: Add the two's complement to the minuend (the number from which to subtract).</p>
17
<p>Step 3: If there is an overflow, ignore it.</p>
17
<p>Step 3: If there is an overflow, ignore it.</p>
18
<p><strong>Example:</strong>Subtract 1010 from 1101 using complements.</p>
18
<p><strong>Example:</strong>Subtract 1010 from 1101 using complements.</p>
19
<p>Step 1: Two's complement of 1010 is 0110.</p>
19
<p>Step 1: Two's complement of 1010 is 0110.</p>
20
<p>Step 2: Add 1101 + 0110. Step 3: Result is 0011.</p>
20
<p>Step 2: Add 1101 + 0110. Step 3: Result is 0011.</p>
21
21