In Hexadecimal number system the letter A and E used for the decimal numbers

In the Hexadecimal number system the number 13 is represented by the letter

The decimal (base 10) equivalent to the hexadecimal number ACE16 is equivalent to

Two Uses of the Hexadecimal System:

1. Digital systems use a variety of different number systems. The number system is a way ofexpressing numbers. Number system conversions deal with the operations to change the base ofthe numbers.a. Convert the following values into hexadecimal.i. 7348ii. 63548

The number system which uses base-16 is called hexadecimal system or simply hex. A base (also called radix) is the number of unique digits or symbols (including 0) that are used to represent a given number.In hexadecimal system (or base-16 number system), a total of 16 symbols are used. Digits from 0 (zero) to 9 (nine) are used to represent values from 0 to 9 respectively and alphabets A, B, C, D, E and F (or a, b, c, d, e and f) are used to represent values from 10 to 15 respectively.In many programming languages like C, Java, etc., 0x is used as a prefix to denote a hexadecimal representation.For example, in hexadecimal number system, the value of Zero is represented as 0x0, where0 = (0 * 160) = (0 * 1)Similarly 1, 2 ...up to 9:1 = (1 * 160) = (1 * 1)2 = (2 * 160) = (2 * 1)...9 = (9 * 160) = (9 * 1)10 = A = (10 * 160) = (10 * 1)15 = F = (15 * 160) = (15 * 1)Now, let us try and represent the following numbers in hexadecimal system:Decimal number Eighteen/ 18 :Since one can only use 0 to 9 and the alphabets A to F to represent 18., let us divide 18 by 16 and write the quotient and remainder as follows:[quotient][remainder], i.e.: [1][2]18 = 0x12 = (1 * 161) + (2 * 160) = (16) + (2)One Hundred and Sixty (160).Since one can only use 0 to 9 and the alphabets A to F to represent 160., let us divide 160 by 16 and write the quotient and remainder as follows:[quotient][remainder], i.e.: [10][0], [A][0] (since 10 is represented by A)160 = 0xA0 = (10 * 161 + (0 * 160) = (160) + (0)Three Thousand Four Hundred and Sixty (3460):Since one can only use 0 to 9 and the alphabets A to F to represent 3460., let us divide it by 16 and write the quotient and remainder as follows:[quotient][remainder], i.e.: [216][4], (216 divided by 16 is [13][8], which is represented as [D][8]). So 3460 is represented as 0xD843460 = 0xD84 = (13 * 162) + (8 * 161) + (4 * 160) = (13 * 256) + (8 * 16) + (4 * 1) = (3328) + (128) + (4)Click on Live Demo to understand the conversion of a decimal number to its corresponding hexadecimal form.Note that both uppercase and lowercase letters can be used when representing hexadecimal values. For example:int hex_hundered_and_sixty = 0xA0; // or 0Xa0, however 0xA0 is preferredClick on Live Demo to understand the conversion of a hexadecimal number to its corresponding decimal form.Select all the correct statements from the given statements.In hexadecimal system, a base of 10 is used.Decimal number 101 is equal to 0x65 in hex.Hex value of 0xCAFE is equal to the decimal value 51966.0x0001 in hex is equal to 0X1 in hex to 1 in decimal number system.