Question 1
What is the result of the bitwise operation 1010 AND 1100 in binary?
📘 Detailed Solution
Bitwise AND yields 1 only when both bits are 1: 1010 AND 1100 = 1000.
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BPSC TRE – Digital Logic Full Subject Test 1
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Question 2
What is Booth's algorithm used for in digital computer design?
📘 Detailed Solution
Booth's multiplication algorithm multiplies two signed binary numbers in 2's complement representation efficiently.
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Question 3
Which of the following techniques is used for error detection in digital data communication?
📘 Detailed Solution
Hamming code, CRC, and Checksum are all established techniques used for error detection in digital communications.
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Question 4
What is the 8-bit signed 2's complement range for decimal numbers?
📘 Detailed Solution
For an n-bit signed 2's complement representation, the range of representable integers is from -$2^{n-1}$ to +$2^{n-1}-1$. For n = 8, -$2^7$ = -128 to +$2^7-1$ = +127.
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Question 5
Convert the octal number (345)8 to its decimal equivalent.
📘 Detailed Solution
$(345)8 = 3*8^2 + 4*8^1 + 5*8^0 = 3*64 + 4*8 + 5*1 = 192 + 32 + 5 = 229.$
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