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8/18/2019 Digital Logic - Why Do We Add 6 in BCD Addition_ - Electrical Engineering Stack Exchange
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Why do we add 6 in BCD addition?
Sometimes, if the sum of two digits are < 10, BCD addition is similar to binary
addition.
But sometimes if the sum > 9, the result requires a correction. This corrections is
+( 0110).
Why do we add 6? Why not some other number? I searched the web, but I don't
understand.
If you want links of this question that have been asked in the past:
http://answers.yahoo.com/question/index?qid=20070930062637AAzyBlv
http://www.physicsforums.com/showthread.php?t=639798
digital-logic
edited Nov 1 '13 at 23:43
JYelton
13.1k 17 60 121
asked Nov 1 '13 at 23:35
mine wwe
31 1 5
1 Answer
digital logic - Why do we add 6 in BCD addition? - Electrical Engineering Stack Exchange http://electronics.stackexchange.com/questions/87211/why-do-we-add-6-in-bcd-addition
1 de 2 05/03/2016 17:59
8/18/2019 Digital Logic - Why Do We Add 6 in BCD Addition_ - Electrical Engineering Stack Exchange
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Four binary digits count up to 15 (1111) but in BCD we only use the
representations up to 9 (1001). The difference between 15 and 9 is 6. If you
want 9+1 to produce 10, which is 1 0000, you have to add 6 to make 1010
wrap to 1 0000.
If you're adding minutes, you similarly add 40 to a time which exceeds 59
minutes. Example: 45 minutes plus 35 minutes is 80 minutes. Correction, add
40 to make 120. Now insert a colon: 1:20. One hour, twenty minutes. 40 is the
difference between 100 and 1:00.
edited Nov 2 '13 at 0:10 answered Nov 1 '13 at 23:39
Kaz
14.3k 1 17 55
2 –+1 for the clock analogy Andy aka Nov 2 '13 at 0:08
1
–
Too many upvotes for the obvious and marginally topical! Why don't you guys find some
difficult electronic design answer which doesn't have 11 upvotes and give it one. Kaz Nov 2
'13 at 14:09
–Okay, that new vote was just to spite my comment.clearly Kaz Nov 4 '13 at 2:25
–
Folk are reacting against you now that you are going down the anti-dumb-down route LOL -
retaliation by voting heh heh Andy aka Nov 4 '13 at 8:17
digital logic - Why do we add 6 in BCD addition? - Electrical Engineering Stack Exchange http://electronics.stackexchange.com/questions/87211/why-do-we-add-6-in-bcd-addition
2 de 2 05/03/2016 17:59