LET US FIRST UNDERSTAND THE BASIC TERMS RELATED TO THE QUESTION :
GATE DELAY : many of the integrated circuits works too fast and has the frequency of it so less that the duration between the input and output calculation is not possible thus we can say that the the delay is always associated with the the .reason when the system works too slowly than the delay is reduced . we all know the gate signal is thatwhich is used to turn on the thyristor and which is used to work along with.
5-BIT ARRAY MULTIPLIER : Array multiplier is well known due to its regular structure. Multiplier circuit is based on add and shift algorithm. Each partial product is generated by the multiplication of the multiplicand with one multiplier bit. The partial product are shifted according to their bit orders and then added. when it is associated with the 5 bit than it is called as the 5-bit array multiplier.
GATE DELAY OF 5 -BIT MULTIPLIER: The example of the 5-bit array multiplier can be used as follows :
in the same way by shifting and multiplying the multiplication takes place and can be used to multiply in the various ways .
the result of the Row 1 is first taken and than they are added to the second row and with the help of this row is added to the second row and thus the product is finally obtained after adding all the rows in sequence and thus answer is obtained .
The gate delay gives the delay to the next row by a bit and thus that is added and the multiplication and the answer is obtained . We could describe this with the help of the diagram given below :
thus in this way thew multiplication takes place with the help and by providing the gate delays .
CI-E HE Gen.3 7. What is the gate delay for an unsigned 5-bit array multiplier (7 points)?
Array Multiplier for Unsigned Number:s (Section 5.6.1) So The array of multiple adders used to compute the partial products is structured like this for a 4-bit multiplier (a) In general, there are n-1 rows in the array for an n-bit multiplier. The top row (b) is structured as shown Fa A ,, , a) Structure of the cirout ろ · Bit of PP And the bottom rows (c) are So structured as shown Now we will go through an example...
In the approach of ‘combinational-array-multiplier’ (CAM) described in class using array of full-adders, answer the following questions. (a) Determine the exact number of AND gates and full-adders needed to build a CAM for unsigned 32-bit multiplication. (b) What is the worst-case delay for a 32-bit CAM? (c) Clearly show how a 3-bit CAM processes the multiplication of 111×111 through all full adders to reach the correct result. Also determine the exact delay (in d) it takes to reach the result?...
1. Consider the following 7-bit binary sequence "1010001" a. Assuming the sequence is 7-bit unsigned binary, convert it to decimal. [5 points] b. Assuming the sequence is 7-bit 2's complement format, convert it to decimal. (5 points c. What is the range of numbers (in decimal) that can be represented using 7-bit binary, signed 2's complement format? [5 points 2. Consider the following Boolean function: F(x, y, z) = (x + y)z'+xy! a. Implement the circuit for the function using...
ints) The following questions pertain to machine numbers (a) (2 points) For an 8-bit unsigned integer, what is the decimal equivalent of 10010101? (b) (3 points) For an S-bit signed integer, what is the decimal equivalent for the 2's compliment of 11010101? (c) (5 points) Consider an 8-bit floating point number like the one in Homework A2 (one sign bit, three exponent bits, and four assignable mantissa bits), what is the floating point number that associates with 01101 1001? ints)...
1. Consider the following 7-bit binary sequence "1010001" a. Assuming the sequence is 7-bit unsigned binary, convert it to decimal. 15 points] b. Assuming the sequence is 7-bit 2's complement format, convert it to decimal. (5 points c. What is the range of numbers (in decimal) that can be represented using 7-bit binary, signed 2's complement format? 15 points 2. Consider the following Boolean function: F(x, y, z) = (x + y). z'+xy' a. Implement the circuit for the function...
3) (30 points) Given three 8-bit unsigned inputs A, B, C, design a circuit that outputs 1 if the smallest absolute distance between any pair of values is less than 15 or greater than 50. Note: your circuit must work for any 8-bit unsigned numbers given in A, B, C. 18 18 18 - Assume that you have the following Datapath components available (unsigned only) - decoders, encoders, muxes, parallel load registers, adders, A B C subtractors, magnitude comparators, array...
1. The following parts are about a 4-bit carry-lookahead adder (CLA) (3 points) Write the expanded equations for os and cs of a 4-bit carry- lookahead adder, given Co, X3:0, and узо (make sure you know what"хзо" means). Write the generic forms of p, and g a. X3 : 0 (3 points) Calculate the hardware cost of just Stage 2? Include the cost for sa. (Remember the cost of a 3-input XOR?) b. (3 points) Determine the critical path (longest...
12. If the propagation delay through a full-adder (FA) is 3 ns (109 seconds), what is the total propagation delay in ns of a 16-bit ripple-carry adder? (7 points)?
A)What is the maximum delay that can generated by an 8 bit Timer with a prescale divider value of 0 and a system clock frequency of 16 MHz? B) In the HCS12, port T is a bidirectional port. Write a short segment of code (C and Assembly) that illustrates how to initialize port T so that bits 7-4 may be used as outputs and bits 3-0 may be used as inputs: C)If you are using an output compare with interrupts...
Question 5. (12 points) 1) (3 points) Apply "bubble pushing" and redraw the circuit (a buffer can be replaced with a wire). 2) . (3 points) What is the boolean expression for the obtained circuit? And Sketch a K-map. 3) . (3 points)What is the propagation delay and contamination delay of the original circuit? Assume the inverter gate has a propagation delay of 15ps and a contamination delay of 10 All other gates have a propagation delay of 30ps and...