Number Systems and Codes Quiz

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Q1. What is the radix of the binary, octal, decimal, and hexadecimal number system?

The radix of the binary number system is 2, the radix of the octal number system is 8, the radix of the decimal number system is 10, and the radix of the hexadecimal number system is 16.

Q2. List the binary, octal, and hexadecimal numbers for decimal numbers 0 to 15.

Binary: 0000, 0001, 0010, 0011, 0100, 0101, 0110, 0111, 1000, 1001, 1010, 1011, 1100, 1101, 1110, 1111. Octal: 0, 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 17. Hexadecimal: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F.

Q3. Convert (255)10 to hexadecimal and octal.

(255)10 = (FF)16 = (377)8.

Q4. Subtract (35)10 - (5)10 using the 2's complement method.

<p>(35)10 - (5)10 = (30)10.</p> Signup and view all the answers

Q5. Convert (D8F)16 into binary and octal.

<p>(D8F)16 = (110110001111)2 = (3327)8.</p> Signup and view all the answers

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