Let us re-write the given boolean expression:
Assuming represents the XOR operation.
The final result will be:
Thus the final result will be:
Question Four: [5 Marks) 1. Evaluate: (1 1011 V0 1010) (1 0001 A 1 1011). 2...
5. What is the octal value of the 1010 1011 when applying the 2's complement notation? 10. What is the decimal version of this number that is written in floating point representation? 1 10000110 01101101001 + 12 trailing O's
Arduino. DEC HEX BIN(4-bits) Introducing ARDUINO 0 0 0000 1 1 0001 2 2 0010 3 3 0011 4 4 0100 5 5 0101 How many 1/0 of Port-D? How many usable 1/0 of Port-D, if Serial-Communication is in-used? What is the Arduino's pin assignment of ATMEL's PC5, PB3, & PD1*? What is the ATMEL's pin assignment of Arduino's D13*, D1, & D19? To complete the table about Number System Conversion (shown your step) 6 6 0110 7 7 0111...
6. Convert .3710 to a binary fraction of 10 binary digits. 7. Use two's compliment arithmetic to perform the following 8 bit binary operations. a. 0010 1110 + 0001 1011 b. 0101 1101 – 0011 1010 c. 1011 1000 – 1000 1011 d. 1000 1100 – 1111 0111 8. Convert 150.8476562510 to IEEE Floating Point Standard. 9. Simplify the following Boolean expressions. a. xy + xy + xz b. (w + x)(x + y)(w + x + y + z)...
Question 5 (20 marks) a) [10 marks] Evaluate: 1 el-X Vx+y(y – 2x)2 dydx. 0 Jo (Hint: consider a change of variable.) b) [10 marks) Find the volume of the solid bounded by the sphere x2 + y2 + z2 = aand the cylinder x2 + y2 = ax, a > 0.
The months of the years are coded in four variables, STUV, such that January is 1011, February is 1010.....and December is 0000. The remaining four combinations are never used. (Remember 30 days has September, April June and November, all the rest has 31, except February) Create the truth table for a function, "M", that is 1 if the month has 31 days and 0 if it does not 11) 12) Implement the truth table for problem,11, using two 3 out...
Please help me out.. A and C Question. 5. (30 points) Consider a computer with byte addressable main memory bytes, and the block size is 8 bytes. Assume that a direct mapping cache consisting 32 lines is used with this machine. (a) (5 points) How many bits are required to hold a memory address? (b) (5 points) How many total bytes of memory can be stored in the cache? 256 bytes (C) (10 points) How is that memory address divided...
Question 1. [4 Marks) (a) Find a natural number n such that 2. 1066 + 1492 = n (mod 1776). Is n unique? (b) Show that there is no ne N such that n=3 (mod 4) and n = 5 (mod 8). Question 2. [4 Marks] Identify the shaded regions, using only the union, intersection and com- plement symbols. U U O @ (c) (d) U U o A A B
Problem 1 (5 points) A coin is flipped four times. Assume that each of the sixteen possible outcomes {0000, 1000, 0100, 1100, 0010, 1010, 0110, 1110, 0001, 1001,0101, 1101,0011, 1011, 0111, 1111} are equally likely. What is the conditional probability that all flips are heads, given the following information: (a) the first flip is heads? (b) the last flip is heads? (©) at least one flip is heads? (d) at least two flips are heads? (e) the first flip and...
10. (10 marks) Evaluate and simplify the following expression: (((12 + k) mod (2 + k)) - ((12+ k) div (2 + k))). Answer:
2. Evaluate the following integrals. (a) [5 marks] | el cos 4xdx -1 x (b) [5 marks] / cosdx -x³+3x²-x- dr. 1dx (c) [10 marks] (п -3)(12+2) 4 (d) [5 marks]/ dx V4-5x-2x2 dx cosh x-sinh x (e) [5 marks]] (Give the final answer in terms of e.)