1. Perform the following Binary Additions 101101 + 10100 *
2 answers:
Answer:
Solutions:
Ans#1:
101101
<u>+ 10100 </u>
<u>1000001 </u>
<u />
Ans#2:
01010011
<u>+01110110</u>
<u>11001001 </u>
Ans#3:
101101
<u>- 10100 </u>
<u>011001 </u>
<u />
<u>Ans#4:</u>
<u />
11001011
<u>- 1010110 </u>
<u>10010100</u>
<u />
Explanation:
The given answers are in Binary.
In binary we add the digits in 1 and 0 form.
Addition in Binary:
1 + 0 = 1
0 + 1 = 1
0 + 0 = 0
1 + 1 = 10
Subtraction in Binary:
1 - 0 = 1
1 - 1 = 0
0 - 1 = 1 (it's because the 0 borrows a 1)
0 - 0 = 0
Answer:
1. carry 1 1 1
1 0 1 1 0 1
+ 1 0 1 0 0
------------------------
Answer: 1 0 0 0 0 0 1
2. carry 1 1 1 0 1 1
0 1 0 1 0 0 1 1
+ 0 1 1 1 0 1 1 0
--------------------------
Answer: 0 1 1 0 0 1 0 0 1
3. 1 0 1 1 0 1
- 1 0 1 0 0
-------------------------
Answer: 0 1 1 0 0 1
4. 1 1 0 0 1 0 1 1
- 1 0 1 0 1 1 0
-----------------------------
Answer: 01 1 1 0 1 0 1
Explanation:
In Binary addition when you add 1 + 1 = 0, carry over the 1, i.e 10
in Subtraction when you subtract 0-1 = 1, brow 1 from left side, resulting in -1 carried over.
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