Question

The base of the decimal number system is ten, meaning, for example, that 123=1.10${}^2$ + 2.10 + 3.
In the binary system, which has base two, the first five positive integers are 1,10,11,100,101. The numeral 10011 in the binary system would then be written in the decimal system as:

• A. 19
• B. 40
• C. 10011
• D. 11
• E. 7

Answer 1

The correct option is A 19

binary(10011)= (1)*2^4 + (0)*2^3 + (0)*2^2 + (1)*2^1 + (1)*2^0

=16 + 0 + 0 + 2 + 1

=19.