Question

The decimal number of 16 in binary number is:
(A) 1000
(B) 10000
(C) 1010
(D) 11000

Answer 1

Hint: We should know that hexadecimal Number System is one the type of Number Representation techniques, in which their value of base is 16. That means there are only 16 symbols or possible digit values, there are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. Hexadecimal (or hex) is a base 16 system used to simplify how binary is represented. ... This means an 8-bit binary number can be written using only two different hex digits - one hex digit for each nibble (or group of 4-bits). It is much easier to write numbers as hex than to write them as binary numbers. Hexadecimals are used in the following: To define locations in memory. Hexadecimals can characterise every byte as two hexadecimal digits only compared to eight digits when using binary. To define colours on web pages.

Complete step by step answer:
We know that in mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols typically 0 (zero) and 1 (one). The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit.
It is also known that the binary system, on the other hand, is a base-2 number system. That means it only uses two numbers: 0 and 1. When we add one to one, we move the 1 one spot to the left into the twos place and put a 0 in the one place: 10.

2	1	6
2	8	0
2	4	0
2	2	0
	2	0
	0	-1

So, $(16{)}_{10}=(10000{)}_2$
Note: It is known that the octal numeral system, or oct for short, is the base-8 number system, and uses the digits 0 to 7. Octal numerals can be made from binary numerals by grouping consecutive binary digits into groups of three (starting from the right). For example, the binary representation for decimal 74 is 1001010. The octal numbering system uses the numerals 0-1-2-3-4-5-6-7. In computing environments, it is commonly used as a shorter representation of binary numbers by grouping binary digits into threes. The chmod command in Linux or UNIX uses octal to assign file permissions.