3. Binary Multiplication
1. Find multiplication of `(1010)_2` and `(11)_2`
Solution:
Hints : (Move mouse over the steps for detail calculation highlight)Step-1 : `1010×1=?` `1. 1×0=0.``:.` put down `0` `2. 1×1=1.``:.` put down `1` `3. 1×0=0.``:.` put down `0` `4. 1×1=1.``:.` put down `1` | Step-2 : `1010×1=?` `1. 1×0=0.``:.` put down `0` `2. 1×1=1.``:.` put down `1` `3. 1×0=0.``:.` put down `0` `4. 1×1=1.``:.` put down `1` |
Answer = 11110
2. Find multiplication of `(10001)_2` and `(101)_2`
Solution:
| | | | | | | | | | | | | | | | | | | | | | | 1 | 0 | 0 | 0 | 1 | | | | × | 1 | 0 | 1 |
| | | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 |
| 1 | 0 | 1 | 0 | 1 | 0 | 1 |
Hints : (Move mouse over the steps for detail calculation highlight)Step-1 : `10001×1=?` `1. 1×1=1.``:.` put down `1` `2. 1×0=0.``:.` put down `0` `3. 1×0=0.``:.` put down `0` `4. 1×0=0.``:.` put down `0` `5. 1×1=1.``:.` put down `1` | Step-2 : `10001×0=?` `1. 0×1=0.``:.` put down `0` `2. 0×0=0.``:.` put down `0` `3. 0×0=0.``:.` put down `0` `4. 0×0=0.``:.` put down `0` `5. 0×1=0.``:.` put down `0` | Step-3 : `10001×1=?` `1. 1×1=1.``:.` put down `1` `2. 1×0=0.``:.` put down `0` `3. 1×0=0.``:.` put down `0` `4. 1×0=0.``:.` put down `0` `5. 1×1=1.``:.` put down `1` | |
Answer = 1010101
3. Find multiplication of `(10101)_2` and `(1011)_2`
Solution:
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | 0 | 1 | 0 | 1 | | | | × | 1 | 0 | 1 | 1 |
| | | | 1 | 0 | 1 | 0 | 1 | | | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 |
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 |
Hints : (Move mouse over the steps for detail calculation highlight)Step-1 : `10101×1=?` `1. 1×1=1.``:.` put down `1` `2. 1×0=0.``:.` put down `0` `3. 1×1=1.``:.` put down `1` `4. 1×0=0.``:.` put down `0` `5. 1×1=1.``:.` put down `1` | Step-2 : `10101×1=?` `1. 1×1=1.``:.` put down `1` `2. 1×0=0.``:.` put down `0` `3. 1×1=1.``:.` put down `1` `4. 1×0=0.``:.` put down `0` `5. 1×1=1.``:.` put down `1` | Step-3 : `10101×0=?` `1. 0×1=0.``:.` put down `0` `2. 0×0=0.``:.` put down `0` `3. 0×1=0.``:.` put down `0` `4. 0×0=0.``:.` put down `0` `5. 0×1=0.``:.` put down `0` | Step-4 : `10101×1=?` `1. 1×1=1.``:.` put down `1` `2. 1×0=0.``:.` put down `0` `3. 1×1=1.``:.` put down `1` `4. 1×0=0.``:.` put down `0` `5. 1×1=1.``:.` put down `1` |
Answer = 11100111
This material is intended as a summary. Use your textbook for detail explanation. Any bug, improvement, feedback then
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