# Electronics and Communication Engineering - Digital Electronics - Discussion

5.

127416 - 3A716 = __________ .

 [A]. ACA16 [B]. ACB16 [C]. ECD16 [D]. AAA16

Explanation:

Convert to decimal, subtract and change the result to hexadecimal.

 Abhay said: (Aug 9, 2014) SIMPLE METHOD: Let subtract A2 minus 1E. (IN decimal system, if unit place of smaller number is greater than unit place of greater number we call for carry 1 which is added as 10 to next number). Similarly, In hexa system we call for carry 1 which is added as 16 to the next number. Here 2 is smaller than E, so call carry, 16 will be added to 2 equal 18, minus E(14) equals 2(unit place) now A(10) will be reduced by 1(due to carry transfer)which is equal 9 minus 1 make it 8(tense place). HENCE the answer will be 82.

 Harshi said: (May 18, 2021) Firstly, change the given numbers into decimal. Then (1274)base16=(4724)base10 and (3A7)base16=(935)base10.. After subtract 935 from 4724. Then 4724 - 935=3789. Now, change 3789 into hexadecimal. We get,(ECD)base16.