1. Find addition of `(11011)_2` and `(1010)_2`
Solution:
Solution is
Step by step solution :
Step by step solution :Step-1 :
`=1_2+0_2`
`=1_10+0_10`
`=1_10`
`=1_2`
`:.` Sum`=1`
Step-2 :
`=1_2+1_2`
`=1_10+1_10`
`=2_10`
`=2xx1+0`
`=10_2`
`:.` Sum`=0` and carry`=1`
Step-3 :
`=1+0_2+0_2`
`=1+0_10+0_10`
`=1_10`
`=1_2`
`:.` Sum`=1`
Step-4 :
`=1_2+1_2`
`=1_10+1_10`
`=2_10`
`=2xx1+0`
`=10_2`
`:.` Sum`=0` and carry`=1`
Step-5 :
`=1+1_2+0_2`
`=1+1_10+0_10`
`=2_10`
`=2xx1+0`
`=10_2`
`:.` Sum`=0` and carry`=1`
2. Find addition of `(11001)_2` and `(1001)_2`
Solution:
Solution is
Step by step solution :
Step by step solution :Step-1 :
`=1_2+1_2`
`=1_10+1_10`
`=2_10`
`=2xx1+0`
`=10_2`
`:.` Sum`=0` and carry`=1`
Step-2 :
`=1+0_2+0_2`
`=1+0_10+0_10`
`=1_10`
`=1_2`
`:.` Sum`=1`
Step-3 :
`=0_2+0_2`
`=0_10+0_10`
`=0_10`
`=0_2`
`:.` Sum`=0`
Step-4 :
`=1_2+1_2`
`=1_10+1_10`
`=2_10`
`=2xx1+0`
`=10_2`
`:.` Sum`=0` and carry`=1`
Step-5 :
`=1+1_2+0_2`
`=1+1_10+0_10`
`=2_10`
`=2xx1+0`
`=10_2`
`:.` Sum`=0` and carry`=1`
3. Find addition of `(11110)_2` and `(1101)_2`
Solution:
Solution is
Step by step solution :
Step by step solution :Step-1 :
`=0_2+1_2`
`=0_10+1_10`
`=1_10`
`=1_2`
`:.` Sum`=1`
Step-2 :
`=1_2+0_2`
`=1_10+0_10`
`=1_10`
`=1_2`
`:.` Sum`=1`
Step-3 :
`=1_2+1_2`
`=1_10+1_10`
`=2_10`
`=2xx1+0`
`=10_2`
`:.` Sum`=0` and carry`=1`
Step-4 :
`=1+1_2+1_2`
`=1+1_10+1_10`
`=3_10`
`=2xx1+1`
`=11_2`
`:.` Sum`=1` and carry`=1`
Step-5 :
`=1+1_2+0_2`
`=1+1_10+0_10`
`=2_10`
`=2xx1+0`
`=10_2`
`:.` Sum`=0` and carry`=1`
This material is intended as a summary. Use your textbook for detail explanation.
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