3. Find Subtraction of 465 and 371 using 8's complementSolution:8's complement subtraction steps :
1. At first, find 8's complement of the B(subtrahend).
2. Then add it to the A(minuend).
3. If the final carry over of the sum is 1, then it is dropped and the result is positive.
4. If there is no carry over, then 8's complement of the sum is the final result and it is negative.
Here A = 465, B = 371.
Find A - B = ? using 8's complement
First find 8's complement of B = 371
Note : 8's complement of a number is 1 added to it's 7's complement number.
Step-1: 7's complement of 371 is obtained by subtracting each digit from 7
Step-2: Now add 1 :
406 + 1 = 407
Step-3: Now Add this 407 to 465
Step by step solution of 465 + 407 = 1074
Write the numbers, so that each digit lines up vertically
Step-1 :
`=5_8+7_8`
`=5_10+7_10`
`=12_10`
`=8xx1+4`
`=14_8`
Write the 4 in the sum place and carry the 1 to the next carry place
Step-2 :
`=1+6_8+0_8`
`=1+6_10+0_10`
`=7_10`
`=7_8`
Write the 7 in the sum place
Step-3 :
`=4_8+4_8`
`=4_10+4_10`
`=8_10`
`=8xx1+0`
`=10_8`
Write the 10 in the sum place
The left most bit of the result (1074) is 1, called carry and it is ignored.
So answer is 074
This material is intended as a summary. Use your textbook for detail explanation.
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