addition or subtraction of 4 bit binary numbers. S= 0 selects the addition function; S=1, the subtraction function. B3 A3 B2 Az BI A Bo Ao C3 C2 Co FA FA FA FA S3 S2 Trace the outputs for the following inputs: a) A3-A0 = 1001 + (Set Subtraction Bit to 0) вз-во 3 ооо1 B3 – B0 after the XOR gate: (Be sure to keep the right order B3 – BO)

addition or subtraction of 4 bit binary numbers. S= 0 selects the addition function; S=1, the subtraction function. B3 A3 B2 Az BI A Bo Ao C3 C2 Co FA FA FA FA S3 S2 Trace the outputs for the following inputs: a) A3-A0 = 1001 + (Set Subtraction Bit to 0) вз-во 3 ооо1 B3 – B0 after the XOR gate: (Be sure to keep the right order B3 – BO)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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1. Write this 10-bit number: (00 1111 1100) in the following 16- bit spaces. Write it once in left-justified form and once in right justified form. Pad your answer with zeros 2. What is the purpose of the two flags, RCIF and TXIF?
A register cell is to be designed with registers R0 and R1 that has the following register transfers: S · 5,: RI - RO + RI, S, · S: RO- RO + 1 S. So: RI - RO – RI, S· So: RO- RO - 1 Use AND, OR, NOT gates and adder-subtract for the operation.
2. Convert the following decimal numbers to 6-bit two's complement binary numbers and subtract them. Indicate whether or not the difference overflows a 6-bit result. (a) 1810 - 1210 (b) 3010 - 910 (c) -2810 - 310 (d) -1610 -2110
There is generally some error in the binary representation of decimal numbers. O True O False
For register AH• Set bits b0, b3• Invert bits b1, b6, b7• Reset bit b2,• don’t affect other bits
4- Assume the following input level of parallel full adder A4 A3 A2 A1 Ao = 10010 , B4 B3 B2 B1 Bo =11100 Co 0 What is the logic level at the output of FA2 and FA4? B) 1 and 0 5- Express the decimal number (- 212) in the sign-magnitude forms B) 011010100 A) 0 and 0 C) 1 and 1 D) Not all above A) 111010100 C) 11010100 D) Not all above. 6- (r" - N) to find A) Third complements. 7- Which gate produce 1 out puts when the all inputs are same. A) OR B) Second complements. C) First complements. D) Not all above. B) AND C) EX-OR D) EX-NOR E) Not all above 9 A half adder can be constructed from: - A) Tow XNOR gates only. C) One XOR and one AND gate with their outputs connected in parallel. B) One XOR and one AND gate with their inputs connected in parallel. D) Not all above. 10-What is the weight of the MSB of a 16-bit number? A) (32768)10 B) (65536)10 C) (1)10 D) (2)10 E) None of above
Question 4. Implement the given logic function using a suitable multiplexer. Fay) - Σα 2,6,7) E(a.2.6.7) Fill in the truth table and include the groups. Y F a. Decide on the values of the selectors and the inputs of the Multiplexer add them to the MUX block. SO= S1 = So 'sk F lo = MUX I 1 = I2 I3 2 = I3 = 个↑↑个个个

Assume that the system has eight 2-bit data inputs, A=a1a0, B=b1b0, C=c1c0, D=d1d0, W=w1w0, X=x1x0, Y=y1y0, Z=z1z0. There are also 2 control bits s1s0. The system computes A+B, C+D, W+X, and Y+Z when s1s0 equal to `11', `10', `01', `00', respectively. Use 1-bit 2-to-1 multiplexers and a 2- bit adder to implement this function. Please show how the inputs, multiplexers, and adder are connected. Label the inputs and select signals clearly. You don't need to show the details of the adder. (Hint: The adder has two 2-bit inputs E=e1e0 and F=f1f0. Each of E and F is generated by a 2-bit 4-to-1 multiplexer, which can be built using 1-bit 2-to-1 multiplexers.)
14--17) Given the unusual circuit below constructed of full and half adders, determine the 5 bit output of the circuit for each of the given 2 bit values for A and B. A, B, Ao Bo НА FA НА FA 14) A = 10 B = 11 16) A = 01 B = 10 15) A = 11 B = 10 17) A = 10 B = 01
In the following circuit, X and Y values are connected to the Multiplexer inputs. Decimal values of X and Y are given as follows: X= - 2 Y= - 12 Note that both X and Y have negative values and they are represented in TYPE 2 representation, where Type 1:One's complement Type 2: Two's complement Type 3: Signed Magnitude a) Find 4-bit input values X3 X2 X1 X0 and Y3 Y2 Y1 Y0. b) Find the boolean expression for the function F2 in terms of variables A, B, C, D. c) Simplify the function you found in part b) using the karnaugh map method. Do not forget to write down the decimal value of X, Y and the representation type in your solution. |Cin хо 10 YO 10 A S F1 11 4:1 11 4:1 X1 Y1 X2 12 Mих Y 12 Mux Cout F2 Y2 • B X3 13 Y3 13 FULL si so si so ADDER А В C D
MUX Y High/Vec в с The multiplexer above is used to implement a Boolean function with A as the most significant bit and Cas least significant bit. What is the equivalent Boolean expression in simplest form? O B'C+A A'C +B O AC+B°C + AC O A'BC+ A'C A'B B'C
5. Circuit Problem: Convert each of the following circuits to a Boolean expression. Then simplify the expression, and draw the corresponding simplified circuit. (a) (b) a b' a' b —b — с' a a' "CHHE (c) a b