COMPUTER FUNDAMENTALS

DATA REPRESENTATION AND NUMBER SYSTEMS

BINARY OCTAL DECIMAL AND HEXADECIMAL NUMBER SYSTEMS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
One digit in Hexa is can represent up to ____ digits in binary.
A
3
B
4
C
5
D
2
Explanation: 

Detailed explanation-1: -In hex, four digits of a binary number can be represented by a single hex digit. Dividing a binary number into 4-bit sets means that each set can have a possible value of between 0000 and 1111, allowing 16 number combinations from 0 to 15. With the base value as 16, the maximum value of a digit is 15.

Detailed explanation-2: -Answer: Each Hexadecimal number can be represented using only 4 bits, with each group of bits having a distich values between 0000 (for 0) and 1111 (for F = 15 = 8+4+2+1). The equivalent binary number of Hexadecimal number are as given below. Hexadecimal number system is similar to Octal number system.

Detailed explanation-3: -With 4 bits, the maximum possible number is binary 1111 or decimal 15. The maximum decimal number that can be represented with 1 byte is 255 or 11111111.

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