A switching circuit has four inputs as shown. A and B represent the first id second bits of an unsigned binary number N. C and D represent the first and cond bits of an unsigned binary number N2. The output is to be 1 only if the proc x N2 is less than or equal to 3. Otherwise, the output is zero. N1 B F N2 D O Find the minterm expansion for F. ) Using K-map to simplify the equation obtained in (a).

A switching circuit has four inputs as shown. A and B represent the first id second bits of an unsigned binary number N. C and D represent the first and cond bits of an unsigned binary number N2. The output is to be 1 only if the proc x N2 is less than or equal to 3. Otherwise, the output is zero. N1 B F N2 D O Find the minterm expansion for F. ) Using K-map to simplify the equation obtained in (a).

Systems Architecture

7th Edition

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Stephen D. Burd

Chapter4: Processor Technology And Architecture

Section: Chapter Questions

Problem 9VE

See similar textbooks

Similar questions

Design a combinational circuit that accepts three inputs, x, y, and z, and produce three outputs, A, B, and C. When the binary input is smaller than 6 the binary output is three greater than the input. Otherwise, the binary output is one greater than the input. Impalement the output using a 3 x 8 decoder. Ans: Truth table К-Мар y Z А В C yz A = yz В — yz C = Combinational circuit
Computer Science Design combinational logic for outputting the wait time associated with each state. For example, state 000 has the main street green light on for 15 seconds. The combinational logic for the input 000 would have an output 1111 corresponding to decimal 15. Let the outputs W3, W2, W1 and W0 represent a binary number corresponding to the wait time.
A combinational logic circuit has inputs A, B, C, D and E. The output Y is given by: fΠ M(15,31) where A is the Most Significant Bit. Give Y in terms of inputs A, B, C, D and E in a Product of Sum format.
Design a 2-bit binary full-adder circuit using a true-output decoder. Assume carry input of the 2-bit binary full-adder is zero. Circuit adds two 2-bit binary numbers A, consisting of bits A1, AO, and B, consisting of bits B1, BO. The sum that is produced by the adder circuit consists of two sum bits S1, SO and a carry out bit CO. Provide:i. Boolean equations for S1, SO and Co.ii. Completely labelled logic diagram of decoder that implements the required operation. (You can represent the decoder in form of block diagram)
stion : 1/1 a Implement the function F (A, B, C) = E(1, 2, 4, 5, 7) a. Using a 2x4 decoder and any logic gates. b. Using a 4:1 multiplexer. P Type here to search 60
Design a code converter that converts an unsigned number a into its negative 2's complement representation -a. Specifically, the circuit has two inputs: a1 and ao, and three outputs: b1 and bo (the equivalent to -a) and valid, which is 1 when -a can be represented in 2's complement and O otherwise. 1. Write the truth table for the code converter. 2. Give the simplest SOP expressions for the functions b1, bo, and valid.
Design a combinational circuit that increments the 4-bit binary input. The output of the circuit is also represented as 4 bits. For example, if the input is 0011 then the output is 0100. Note: the increment of 1111 is 0000. Let the input variables be A, B, C, and D, while the output variables be W, X, Y, and Z. What is the boolean function (in sum of minterm format) of output W? What is the boolean function (in sum of minterm format) of output X? What is the boolean function (in sum of minterm format) of output Y? What is the boolean function (in sum of minterm format) of output Z?
. Given the function: F(a, b, c) = (a + b)’c + a b c’ + a c a) Create the truth table for function F. 7b) Implement F by means of an 8-to-1 Multiplexer using block diagrams. Implement F by means of a 3-to-8 Decoder using block diagrams and any gates if needed.
Use VHDL to implement a 16-to-1 Multiplexer. The inputs are w0, w1, w2, w3, w4, w5, w6, w7, w8, w9, w10, and w11. The last four inputs are not attached to an input signal. How many select bits need the circuit?
Q19/ a combinational circuit has four inputs (A, B, C, D), which represent a binary- coded- decimal digit. The circuit has two groups of four outputs S, T, U, V, and W, X, Y, Z each group represents a BCD digit. The output digits represent a decimal number which is 1 more than four times the input number. For example if ABCD=0011, the output are 0001 0011. Assume that invalid BCD digits do not occur as inputs. a- Construct the truth table b- Write minterms and max terms for all output C- Find SOP and POS for all output
Expert Q&A Done Design a combinational logic circuit that converts a 4-bit binary number into its corresponding 2's complement representation. For example, if the 4-bit number is "1111", the outputs should be "0001". Similarly, if the 4-bit number is "0000", the outputs should be "0000" Please complete the following truth table. Input 4-bit number 2's complement of the input number B s1 S2 S3 S4 ill out the following K-maps and then write down an optimized equation for S1, S2, S3, and S4, respectively. Hint: the equation of S4 can be immediately determined by inspecting the truth table. S1 52 53
Design a circuit that uses 4-bit full adders and AND gates. Given two 8-bit signed 2s-complement numbers A and B and a binary input signal M, your circuit should produce an 8-bit signed 2s-complement result R, as follows: if (M == 0) R = A; else R = A + B + 1;