Symbols A-F are used in which one of the following?
Hexadecimal number system
Every positional number system needs exactly as many distinct symbols as its base, so counting the symbols required settles the question at once.
The hexadecimal system has base 16, so it needs sixteen distinct symbols. The ordinary digits 0 to 9 supply only ten of them, leaving six values - ten, eleven, twelve, thirteen, fourteen and fifteen - with no single character to represent them. The letters A, B, C, D, E and F were adopted for exactly this purpose, so A stands for 10, B for 11, and so on up to F for 15.
Hexadecimal is widely used in computing because it is a compact way of writing binary. Four binary digits correspond exactly to one hexadecimal digit, so a byte of eight bits can be written as just two hexadecimal characters. This is why memory addresses, colour codes in web design such as FF0000 for red, and MAC addresses are all conventionally written in hexadecimal.
The binary system has base 2 and uses only the symbols 0 and 1, so it needs no letters at all.
The decimal system has base 10 and uses the digits 0 to 9, which are exactly sufficient.
The octal system has base 8 and uses the digits 0 to 7. Since eight symbols are needed and the digits supply them, octal also requires no letters.
The general rule worth carrying away is that letters appear as digits only in systems whose base exceeds ten, and in the common bases only hexadecimal does.
Hence the symbols A to F are used in the hexadecimal number system.
Similar Questions
Given below are two statements with reference to different number systems:
Statement I: (D6C1)16 = (54977)10
Statement II: (41819)10 = (A35B)16
In the light of the above statements, choose the correct answer from the options given below:An Indian company designs a mobile application to process staff records. In each record, 10 bits are used to store staff ID and 20 bytes are used to store staff names. How many staff records can the mobile application support?
Match List I with List II
LIST I (Statement) List II (Value) A. Number of bytes formed from 8 bits I. 6 B. Base-10 (denary) value of the binary number : 110 II. 4 C. If there are 2ᴾ bytes in 1 mega byte, then what is the value of P ? III. 1 D. An ISP company advertises its broadband download speed as 128 mega bits per second. How many 4-mega byte files can be downloaded per second using the company's broad band? IV. 20 Choose the correct answer from the options given below:
Match List I with List II
LIST I (Statement) LIST II (Value) A. Base-10 (denary) value of the binary number: 100000 I. 100 B. Internet service provider advertises a download speed of 80 megabits per second. What is the time taken in seconds to download an 80 megabyte file ? II. 14 C. A music file is 80 megabytes in size and MP3 file compression reduces the size of a music file by 90%. The number of MP3 files of the size after compression that can be stored on an 800 MB CD III. 32 D. What is the denary (base-10) equivalent to the hexadecimal digit E? IV. 8 Choose the correct answer from the options given below:
In the context of data stored in a computer, what is a byte?
Which of the following statements is/are correct?
(a) For the sequence of integers represented in binary as 00111, 01001, 01011, P………. the next integer P would be represented as 01101
(b) A byte is a binary number consisting of exactly 8 bits
Choose the correct option:
What is the decimal equivalent of binary number 1100110?
What is the binary equivalent of decimal number 75?
If the binary equivalent of the decimal number 53 is 110101, then the binary equivalent of the decimal number 50 is given by:
Binary equivalent of decimal number 35 is
Important Questions from Binary Number System
Convert decimal number 26.85 into binary equivalent.
- The decimal number equivalent to binary digit 110 is ______.
- If $(L)_M$ represents a number L in base-M number system, then identify the correct descending order of the following numbers A-D when converted to decimal number system.
A. $(20003.2)_4$
B. $(111111.11)_2$
C. $(732.2)_8$
D. $(C2.6)_{16}$
Choose the correct answer from the options given below : Given below are two statements with reference to different number systems:
Statement I: (D6C1)16 = (54977)10
Statement II: (41819)10 = (A35B)16
In the light of the above statements, choose the correct answer from the options given below:An Indian company designs a mobile application to process staff records. In each record, 10 bits are used to store staff ID and 20 bytes are used to store staff names. How many staff records can the mobile application support?
