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Why are these octal codes used instead of decimal system?

Octal codes are often used to write the numerical value of a binary number because it is easier to convert from binary to octal, instead of binary to decimal. You can convert to octal on sight, and it simply requires grouping the binary bits into groups of three, whereas converting to decimal requires repeated division by 10102 or 1010. Actually, grouping into three bits is the same as dividing by 1002 or 810 so the process is really the same. Divide by 8 to get octal. Divide by 10 to get decimal.


What is the value for hex value 20?

20 hex = 32 decimal or 100000 binary or 40 octal.


What is the corresponding binary value of a decimal number 44?

4410 = 3210 + 810 + 410 = 1011002


What octal value is equal to binary number 001 110 101?

Binary number 1110101 equates to octal number 165.


What is the corresponding decimal value of 1111?

It is 15.


(4C.B7)₁₆ + (123.46)₈ what will be the answer in decimal?

The result of adding the hexadecimal and octal numbers together, once converted to decimal form, is roughly equivalent to one hundred sixty, with a slight fraction beyond. The hexadecimal number converts to a value just shy of seventy-seven, while the octal number translates to a value slightly over eighty-three in decimal. Their sum, therefore, marginally exceeds one hundred sixty.


What would be the 'place value' of the '7' in the octal number 274?

64


What is the base 5 value of the number 46?

The value doesn't change. In base-5, you'd have to write it as '141', but you, the decimal guy, the binary guy, and the octal guy would each still have the same number of beans in your respective pockets.


What is a change from one base to another?

Changing from one base to another involves converting a number representation from one numbering system (such as decimal or binary) to another (such as hexadecimal or octal). This involves understanding the place value of each digit in the original base and expressing it in the corresponding place value of the new base. The conversion process typically involves division and remainder operations.


What range of value can be represented by a four digit octal number?

A four-digit octal number can represent values from 0000 to 7777 in octal notation. In decimal, this corresponds to a range of 0 to 4095, as each digit can take values from 0 to 7, and the total value is calculated as (8^3 \times d_3 + 8^2 \times d_2 + 8^1 \times d_1 + 8^0 \times d_0), where (d_3, d_2, d_1, d_0) are the digits. Therefore, the range of values representable by a four-digit octal number is from 0 to 4095.


How many times greater is the place value of a digit of a number than the place value of the next digits to its right without decimal system?

The place value of each digit is b times the place value of the digit to its right where b is the base for the system: whether that is binary, octal, decimal, duodecimal, hexadecimal, sexagesimal or some other value.


Pi is composed of exactly how number system?

It is not clear what this question is about. The number pi is not composed of any number system. Even though the digits will be different, pi is a constant which will have the same value whatever the number system: decimal, binary, octal, et cetera.