Digital Electronics And Logic Gates

Step 1: Set up the hexadecimal subtraction problem. We need to calculate:
Step 2: Subtract the fractional parts. The rightmost column is B - A. In decimal, this is . The result is .
Step 3: Subtract the integer parts column by column, from right to left. First, subtract the units column: F - 9. In decimal, this is . The result is . Next, subtract the 16's column: 4 - 2. In decimal, this is . The result is .
Step 4: Combine the results. The final result of the subtraction is (26.1) .

Step 1: Analyze each logic gate and its corresponding Boolean expression. - A. EX-OR: The Exclusive-OR gate outputs true only when the inputs are different. Its expression is . This matches expression I. So, A I. - C. OR: The OR gate outputs true if at least one input is true. Its expression is . This matches expression II. So, C II. - D. EX-NOR: The Exclusive-NOR gate outputs true only when the inputs are the same. Its expression is . This matches expression IV. So, D IV. - B. NAND: The NAND gate is the negation of the AND gate. Its expression is . Expression III is , which is the expression for an AND gate.
Step 2: Evaluate the options based on the correct matches. We have confirmed: A I, C II, D IV. Let's check the given options: - Option (1) has C III, which is incorrect. - Option (2) has A I, C II, and D IV. This aligns with our findings. It matches B (NAND) with III (AND). This implies a likely error in the question, where gate B should have been AND, or expression III should have been . However, given the other three perfect matches, this option is the most plausible intended answer. - Option (3) has C IV, which is incorrect. - Option (4) has A III, which is incorrect. Therefore, option (2) is the correct choice, assuming a typo in the question's list.

Step 1: Convert all numbers to a common base (decimal is easiest). - A. (10110.011) : - B. (32) : This is already in decimal. Value is . - C. (5F.8) : - D. F :
Step 2: Compare the decimal values. The decimal values are: - A = 22.375 - B = 32 - C = 95.5 - D = 15
Step 3: Arrange them in ascending order. The smallest value is D (15), followed by A (22.375), then B (32), and the largest is C (95.5). The ascending order is D, A, B, C.