Virtual Labs

1. What is the binary representation of the decimal number 31?

a: 11111 Explanation

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b: 1111 Explanation

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c: 10101 Explanation

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d: 11011 Explanation

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2. Which of the following C statements sets the 0th bit of n to 1?

a: n = n | 1; Explanation

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b: n = n & 1; Explanation

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c: n = n ^ 1; Explanation

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d: n = n << 1; Explanation

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3. What is the result of left shifting the binary number 101 by 2 positions?

a: 10100 Explanation

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b: 1010 Explanation

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c: 101000 Explanation

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d: 1001 Explanation

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4. Which of the following is the correct way to check if the 3rd bit (from right, 0-indexed) of n is set in C?

a: if (n & (1 << 3)) Explanation

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b: if (n | (1 << 3)) Explanation

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c: if (n ^ (1 << 3)) Explanation

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d: if (n && (1 << 3)) Explanation

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5. What is the minimum number of bits required to represent the decimal number 1023 in binary?

a: 9 Explanation

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b: 10 Explanation

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c: 11 Explanation

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d: 8 Explanation

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6. Which of the following C statements clears the 2nd bit (from right, 0-indexed) of n?

a: n = n & ~(1 << 2); Explanation

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b: n = n | (1 << 2); Explanation

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c: n = n ^ (1 << 2); Explanation

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d: n = n << 2; Explanation

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7. Which of the following is the binary representation of the decimal number 512?

a: 1000000000 Explanation

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b: 111111111 Explanation

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c: 100000000 Explanation

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d: 1010101010 Explanation

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8. Which of the following best describes the effect of the XOR (^) operator in binary arithmetic?

a: It sets a bit if both bits are 1 Explanation

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b: It sets a bit if both bits are 0 Explanation

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c: It sets a bit if the bits are different Explanation

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d: It always sets the bit to 1 Explanation

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9. What is the result of 14 ^ 9 in C? (where ^ is bitwise XOR)

a: 7 Explanation

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b: 5 Explanation

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c: 15 Explanation

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d: 3 Explanation

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10. Which of the following best describes the purpose of using binary representation in computers?

a: It is easier for humans to read Explanation

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b: It is the only way to represent numbers Explanation

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c: It matches the on/off nature of digital circuits Explanation

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d: It saves paper Explanation

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Numerical Representation