Given below are two statements:
Statement I: The binary equivalent of decimal number $$(19)_{10}$$​ is $$(10101)_2$$.

​Statement II: $$(1011)_2 \ + \ (110)_2 \ = \ (10101)_2$$​​

In light of the above statements, choose the correct answer from the options given below: ​​

Correct option is B

Statement I is false because the binary equivalent of $${19}_{10}$$​ is actually $${10011}_2$$​, not $${10101}_2$$​.
Statement II is false because $$\mathrm{{1011}_2+{110}_2 \ equals \ {10001}_2, \ not \ {10101}_2}.$$​
Information Booster:
1. Converting Decimal to Binary: Divide the decimal number by 2 , write down the remainder, and repeat the process until the quotient is 0 . The binary number is the remainders read in reverse order.
2. Binary addition follows the rules similar to decimal addition, but with base 2 , so it involves carrying over when the sum exceeds 1.