Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Design a combinational circuit that compares two 2-bit binary numbers, A = a1a0 and B = b1b0. The circuit will result in 1 if A≤ B, 0 otherwise.
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- In the IEEE single-precision format, how many bits are reserved for the exponent?arrow_forwardQ2. Two integer numbers A and B are represented in pure binary by two bits, being A=a₁a0 and B=b₁bo. c) A logic circuit provides the 4 bits output C=C3C2C1C0, as shown in the truth table below. FO a₁ 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 ao og 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 b₁ 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 bo 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 C3 0 0 0 C2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 1 1 C1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 Write the expression as Max Term form with for c2. Co 1 1 1 1 0 OO 0 0 0 1 1 1 1 0 ooo 0 0 0arrow_forwardGive the bit pattern that would result from a bitwise AND, OR and XOR operation on the following two bit patterns: 10101010 11110000 AND: OR: XOR:arrow_forward
- Q2. Two integer numbers A and B are represented in pure binary by two bits, being A=a₁a0 and B=b₁bo. e) A logic circuit provides the 4 bits output C=C3C2C1C0, as shown in the truth table below. FO a₁ 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 ao og 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 b₁ 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 Draw the logic circuits for c2. bo 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 C3 0 0 0 C2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 1 1 C1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 Co 1 1 1 1 0 OO 0 0 0 1 1 1 1 0 ooo 0 0 0arrow_forwardIn single precision (IEEE-754 standard), 8 bits are used for storing the exponent (the bias is 127), and 23 bits are used for storing the mantissa. (a) What are the smallest and the largest positive numbers that can be stored in single precision? (b) What is the smallest value of the mantissa that can be stored?arrow_forwardShow the logic required to convert a 10-bit Gray code to binary and use that logic to convert the following Gray code words to binary:(a) 1010111100 (b) 1111000011 (c) 1011110011 (d) 1000000001arrow_forward
- Q2. Two integer numbers A and B are represented in pure binary by two bits, being A=a₁a0 and B=b₁bo. f) A logic circuit provides the 4 bits output C=C3C2C1C0, as shown in the truth table below. FO a₁ 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 ao og 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 b₁ 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 bo 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 C3 0 0 0 Draw an XOR gate and its truth table. C2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 1 1 C1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 Co 1 1 1 1 0 OO 0 0 0 1 1 1 1 0 ooo 0 0 0arrow_forwardWhen using signed integers and in a 7-bit cell, the decimal number -8 can be be represented in binary asarrow_forwardQ2: Use a Karnaugh map to simplify the following standard SOP expression: XYZ + XYZ + XYZ + XYZ + XYZ + XYZ 101 010 100arrow_forward
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