Number System Conversion Quiz

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Questions and Answers

What is the result of converting the decimal number 25 to its binary equivalent?

  • 11101
  • 10100
  • 10011 (correct)
  • 11001

Which of the following represents the octal equivalent of the decimal number 92?

  • 114
  • 134
  • 124
  • 144 (correct)

What is the hexadecimal equivalent of the binary number 1011010?

  • 7A
  • 4A
  • 6A
  • 5A (correct)

If a number is represented in hexadecimal as 3F, what is its octal equivalent?

<p>77 (A)</p> Signup and view all the answers

What is the octal equivalent of the binary number 1101101?

<p>155 (B)</p> Signup and view all the answers

What is the decimal equivalent of the hexadecimal number A3B?

<p>2715 (C)</p> Signup and view all the answers

What is the binary equivalent of the octal number 654?

<p>110110100 (A)</p> Signup and view all the answers

What is the hexadecimal equivalent of the decimal number 4095?

<p>FFF (B)</p> Signup and view all the answers

What is the octal equivalent of the decimal number 12345?

<p>30571 (B)</p> Signup and view all the answers

What is the decimal equivalent of the binary number 111101010?

<p>498 (A)</p> Signup and view all the answers

When converting a decimal number to binary, what will be the value of the most significant bit (MSB) for the binary number?

<p>1 (B)</p> Signup and view all the answers

What is the equivalent octal number for the decimal number 63?

<p>77 (D)</p> Signup and view all the answers

When converting a binary number to a decimal number, what is the base used for multiplication for each digit?

<p>2 (C)</p> Signup and view all the answers

What is the decimal equivalent of the octal number 432?

<p>136 (C)</p> Signup and view all the answers

In hexadecimal to decimal conversion, what is multiplied by 16 to the power of 2?

<p>second digit (C)</p> Signup and view all the answers

What is the binary equivalent of the decimal number 102?

<p>(1100110) (B)</p> Signup and view all the answers

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

<p>(55)8 (B)</p> Signup and view all the answers

What is the hexadecimal equivalent of the octal number 34?

<p>(54)16 (A)</p> Signup and view all the answers

What is the decimal equivalent of the hexadecimal number 2A5?

<p>6776 (D)</p> Signup and view all the answers

In binary to decimal conversion, what is calculated for the binary number (11011101)2?

<p>$2^7 + 2^6 + 2^4 + 2^3 + 2^2 + 2^1 + 2^0$ (C)</p> Signup and view all the answers

Flashcards

Decimal 25 to Binary

The binary equivalent of the decimal number 25 is 10011.

Decimal 92 to Octal

The octal equivalent of the decimal number 92 is 144.

Binary 1011010 to Hexadecimal

The hexadecimal equivalent of the binary number 1011010 is 5A.

Hexadecimal 3F to Octal

The octal equivalent of the hexadecimal number 3F is 77.

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Binary 1101101 to Octal

The octal equivalent of the binary number 1101101 is 155.

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Hexadecimal A3B to Decimal

The decimal equivalent of the hexadecimal number A3B is 2715.

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Octal 654 to Binary

The binary equivalent of the octal number 654 is 110110100.

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Decimal 4095 to Hexadecimal

The hexadecimal equivalent of the decimal number 4095 is FFF.

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Decimal 12345 to Octal

The octal equivalent of the decimal number 12345 is 30571.

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Binary 111101010 to Decimal

The decimal equivalent of the binary number 111101010 is 498.

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Most Significant Bit (MSB) in Decimal to Binary Conversion

The most significant bit (MSB) is always 1.

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Decimal 63 to Octal

The octal equivalent of decimal 63 is 77.

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Binary to Decimal Conversion Base

The base used for multiplication in binary to decimal conversion is 2.

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Octal 432 to Decimal

The decimal equivalent of the octal number 432 is 288.

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Hex to Decimal Conversion Power of 16

The second digit of a hexadecimal number is multiplied by 16 to the power of 1 (16^1).

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Decimal 102 to Binary

The binary equivalent of the decimal number 102 is (1100110).

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Binary (101101)2 to Octal

The octal equivalent of binary (101101)2 is (55)8.

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Octal 34 to Hexadecimal

The hexadecimal equivalent of octal 34 is 54(16).

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Hexadecimal 2A5 to Decimal

The decimal equivalent of hexadecimal 2A5 is 677.

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Binary (11011101)2 decimal conversion formula

(11011101)2 in decimal is calculated as (2^7 + 2^6 + 2^4 + 2^3 + 2^2 + 2^1 + 2^0).

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Study Notes

Number Systems Conversion

  • Converting decimal number 25 to binary equivalent yields 11001.
  • Octal equivalent of decimal number 92 is 134.
  • Binary number 1011010 is equivalent to hexadecimal number A6.
  • Hexadecimal number 3F is equivalent to octal number 37.
  • Binary number 1101101 is equivalent to octal number 155.
  • Hexadecimal number A3B is equivalent to decimal number 2627.
  • Octal number 654 is equivalent to binary number 1100101100.
  • Decimal number 4095 is equivalent to hexadecimal number FFF.
  • Decimal number 12345 is equivalent to octal number 28411.
  • Binary number 111101010 is equivalent to decimal number 2442.
  • When converting decimal to binary, MSB (most significant bit) is always 1 for positive numbers.
  • Decimal number 63 is equivalent to octal number 77.
  • When converting binary to decimal, each digit is multiplied by 2 to the power of its position.
  • Octal number 432 is equivalent to decimal number 282.
  • In hexadecimal to decimal conversion, the first digit is multiplied by 16 to the power of 2.
  • Decimal number 102 is equivalent to binary number 1100110.
  • Binary number 101101 is equivalent to octal number 133.
  • Octal number 34 is equivalent to hexadecimal number 1C.
  • Hexadecimal number 2A5 is equivalent to decimal number 675.
  • In binary to decimal conversion, the sum of each digit multiplied by 2 to the power of its position is calculated for the binary number (11011101)2.

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