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Decimal to Octal Conversion and Octal to Decimal Conversion

10 Questions

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Decimal to Octal Conversion and Octal to Decimal Conversion

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Questions and Answers

What is the equivalent hexadecimal form of the decimal number 2019?

7E3 (correct)

7E2

7E7

7DB

What is the equivalent binary form of the hexadecimal number (1F)16?

11011 (correct)

11111

10001

11100

What is the equivalent octal form of the binary number (101101)2?

131

135 (correct)

133

137

What is the equivalent decimal form of the hexadecimal number (3A7)16?

955 Signup and view all the answers

What is the equivalent hexadecimal form of the octal number (6543)8?

19B3 Signup and view all the answers

What is the equivalent octal form of the decimal number (745)10?

(1363)8 Signup and view all the answers

If the octal number is (317)8, what is its equivalent decimal form?

(207)10 Signup and view all the answers

What is the binary equivalent of the octal number (654)8?

(110101110)2 Signup and view all the answers

Which octal number is equivalent to the binary number (11101001)2?

(361)8 Signup and view all the answers

If the octal number is (465)8, what is its equivalent binary form?

(100110101)2 Signup and view all the answers

Study Notes

Number Conversions

The decimal number 2019 converts to hexadecimal as 7E3.
The hexadecimal number (1F)16 translates to binary as 00011111.
The binary number (101101)2 is equivalent to octal as 55.
The hexadecimal number (3A7)16 converts to decimal as 935.
The octal number (6543)8 translates to hexadecimal as 1A7.
The decimal number (745)10 is equivalent to octal as 1331.
The octal number (317)8 converts to decimal as 199.
The octal number (654)8 translates to binary as 110101100.
The binary number (11101001)2 is equivalent to octal as 351.
The octal number (465)8 converts to binary as 100100101.

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Description

Learn how to convert decimal numbers to their equivalent octal forms and vice versa. Practice the step-by-step process of dividing decimal numbers by 8 and arranging the remainders to obtain the octal form. Similarly, learn to convert octal numbers to decimal by understanding the positional values of each digit.