
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Transcribed Image Text:Perform the addition of the following 8-bit 2's complement numbers using 2's complement arithmetic.
(Reminder: 2's complement numbers are signed numbers.)
a) 11001001 + 00110011
b) 10011011 + 01101111
c) 01011010 + 10110110
d) 11001000 + 11100101
Convert each result from the previous problem to signed decimal.
Draw the block diagram of the circuit required to implement the operation in Problem 3.
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- Design the following combinational logic circuit with a four-bit input and a three-bit output. The input represents two unsigned 2-bit numbers: A1 A0 and B1 B0. The output C2 C1.C0 is the result of the integer binary division A1 A0/B1 B0 rounded down to three bits. The 3-bit output has a 2-bit unsigned whole part C2 C1 and a fraction part CO. The weight of the fraction bit CO is 21. Note the quotient should be rounded down, i.e. the division 01/11 should give the outputs 00.0 (1/3 rounded down to 0) not 00.1 (1/3 rounded up to 0.5). A result of infinity should be represented as 11.1. A minimal logic implementation is not required. (Hint: start by producing a truth table of your design).arrow_forwardNonearrow_forward9 Part 1 of 2 Mc Graw Hill Required information Consider the logic gate circuit shown in the given figure. A (S1)-0- B (S2)-0 C (S3)-0- AB B BC B+C What is the Boolean equation for the given figure? ***************** The Boolean equation for the given figure is (Click to select) Note: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.arrow_forward
- a) 13–9 b) –13 –13 Perform the above decimal arithmetic problems by first converting the numbers to binary, 2’s complement form (using a 7 bit word in every case). Then perform the 2’s compliment addition. Show the result in binary indicating as in the problem above whether each result is positive or negative or overflowed (by writing “positive”, “negative” or “overflow” next to the binary answer) and then follow with the decimal value of the result if there was no overflow.arrow_forwardGrey converters are often used in industrial circuits where the normal sequence of binary numbers may produce ambiguity during transition. This is elliminated with the Grey code, as only one bit changes, during a normal transition of sequential numbers. Show the logic required to convert a 10-bit binary number to Gray code and use that logic to convert the following to Gray code: a) 1010101010 b) 1111100000 c) 0000001110 d) 1111111111arrow_forward
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