Harutyun MartirosyanAdding
1010
+ 1101
-------
10111
Explanation:
0 + 1 = 1
1 + 0 = 1
0 + 1 = 1
1 + 1 = 0 (carry 1)
1 + 1 + 1 = 1 (carry 1)
1001
+ 0110
-------
1111
Explanation:
1 + 0 = 1
0 + 1 = 1
0 + 1 = 1
1 + 0 = 1
101
+ 11
-------
1000
Explanation:
1 + 1 = 0 (carry 1)
0 + 1 + 1(carried over) = 0 (carry 1)
1 + 0 + 1(carried over) = 10(with carried 1)
Subtracting
1010
- 010
-------
1000
Explanation:
0 - 0 = 0
1 - 1 = 0
0 - 0 = 0
1 - 0 = 1
1100
- 0011
-------
1001
Explanation:
0(becomes 2) - 1 = 1 (borrow 1)
0(becomes 1) - 1 = 0
1 - 0 = 0
1 - 0 = 1
10000
- 00101
-------
10111
Explanation:
0(becomes 2) - 1 = 1 (borrow 1)
0(becomes 1) - 0 = 1
0(becomes 1) - 1 = 0
0(becomes 1)- 0 = 1
1(becomes 0) - 0 = 0
Multiplying
101
x 11
--------
101
+ 101
--------
1111
Explanation:
First column: Second column: Adding columns:
1 * 1 = 1 1 * 1 = 1 101
0 * 1 = 0 0 * 1 = 0 + 101
1 * 1 = 1 1 * 1 = 1 ----
1111
1011
x 101
--------
1011
+ 0000
+ 1011
--------
110111
Explanation:
First column: Second column: Third column: Adding columns:
1 * 1 = 1 1 * 0 = 0 1 * 1 = 1 1011
1 * 1 = 1 1 * 0 = 0 1 * 1 = 1 + 0000
0 * 1 = 0 0 * 0 = 0 0 * 1 = 0 + 1011
1 * 1 = 1 1 * 0 = 0 1 * 1 = 1 ---------
110111
111
x 111
--------
111
+ 111
+ 111
--------
110001
Explanation:
First column: Second column: Third column: Adding columns:
1 * 1 = 1 1 * 1 = 1 1 * 1 = 1 111
1 * 1 = 1 1 * 1 = 1 1 * 1 = 1 + 111
1 * 1 = 1 1 * 1 = 1 1 * 1 = 1 + 111
--------
110001
Divison
11
-----
10 | 110
-10
-----
10
- 10
-----
00
101
------
11 | 1111
-11
------
1
------
11
-11
------
00
10
------
10 | 100
-10
------
00
