please friends give me the answers
Answers
Answer:
The Octal Numbering System is very similar in principle to the previous hexadecimal numbering system except that in Octal, a binary number is divided up into groups of only 3 bits, with each group or set of bits having a distinct value of between 000 (0) and 111 ( 4+2+1 = 7 ).
ADVERTISING
Octal numbers therefore have a range of just “8” digits, (0, 1, 2, 3, 4, 5, 6, 7) making them a Base-8 numbering system and therefore, q is equal to “8”.
Then the main characteristics of an Octal Numbering System is that there are only 8 distinct counting digits from 0 to 7 with each digit having a weight or value of just 8 starting from the least significant bit (LSB). In the earlier days of computing, octal numbers and the octal numbering system was very popular for counting inputs and outputs because as it works in counts of eight, inputs and outputs were in counts of eight, a byte at a time.
As the base of an Octal Numbers system is 8 (base-8), which also represents the number of individual numbers used in the system, the subscript 8 is used to identify a number expressed in octal. For example, an octal number is expressed as: 2378
Just like the hexadecimal system, the “octal number system” provides a convenient way of converting large binary numbers into more compact and smaller groups. However, these days the octal numbering system is used less frequently than the more popular hexadecimal numbering system and has almost disappeared as a digital base number system.
Representation of an Octal Number
MSB Octal Number LSB
88 87 86 85 84 83 82 81 80
16M 2M 262k 32k 4k 512 64 8 1
As the octal number system uses only eight digits (0 through 7) there are no numbers or letters used above 8, but the conversion from decimal to octal and binary to octal follows the same pattern as we have seen previously for hexadecimal.
To count above 7 in octal we need to add another column and start over again in a similar way to hexadecimal.
0, 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 17, 20, 21….etc
Again do not get confused, 10 or 20 is NOT ten or twenty it is 1 + 0 and 2 + 0 in octal exactly the same as for hexadecimal. The relationship between binary and octal numbers is given below.
Octal Numbers
Decimal Number 3-bit Binary Number Octal Number
0 000 0
1 001 1
2 010 2
3 011 3
4 100 4
5 101 5
6 110 6
7 111 7
8 001 000 10 (1+0)
9 001 001 11 (1+1)
Continuing upwards in groups of three
Then we can see that 1 octal number or digit is equivalent to 3 bits, and with two octal number, 778 we can count up to 63 in decimal, with three octal numbers, 7778 up to 511 in decimal and with four octal numbers, 77778 up to 4095 in decimal and so on.
Mark as brainliest plz
A.
1. Decimal number system- This number system is widely used in computer applications. It is also called the base-10 number system which consists of 10 digits, such as, 0,1,2,3,4,5,6,7,8,9. Each digit in the decimal system has a position and every digit is ten times more significant than the previous digit.
2.Binary number system- It consists of 2 digits 0 and 1. The base of Binary numbers are 2.
3. Octal Number system- It consists of 8 digits starting from 0-7. The base of Octal numbers are 8.
4. Hexadecimal number system- The hexadecimal numeral system, often shortened to "hex", is a numeral system made up of 16 symbols (base 16). The standard numeral system is called decimal (base 10) and uses ten symbols: 0,1,2,3,4,5,6,7,8,9. Hexadecimal uses the decimal numbers and six extra symbols.
B.
1. (11111) 2
2.(10101) 2
3.(1111) 2
4.(101) 2
5.(1001) 2
Hope it helps you and please mark me as the brainliest