Questions and Answers of Logic And Computer Design Fundamentals

Obtain the truth table of the following functions, and express each function in sum-of-minterms and product- of- maxterms form:
Find the complement of the following expressions:
Using DeMorgan’s theorem, express the function(a) With onlyOR and complement operations.(b) With only AND and complement operations.(c) With only NAND and complement operations.
Reduce the following Boolean expressions to the indicated number of literals:
Simplify the following Boolean expressions to expressions containing a minimum number of literals:
speciic Boolean algebra with just two elements 0 and 1 has been used in this chapter. Other Boolean algebras can be deined with more than two elements by using elements that correspond to binary
Given that A • B = 0 and A + B = 1, use algebraic manipulation to prove that
Prove the identity of each of the following Boolean equations, using algebraic manipulation:
Prove the identity of each of the following Boolean equations, using algebraic manipulation:
Demonstrate by means of truth tables the validity of the following identities:
What is the percentage of power consumed for continuous counting (either up or down but not both) at the outputs of a binary Gray code counter (with all 2n code words used) compared to a binary
This problem concerns wind measurements made by the wireless weather station in Example 1-1. The wind direction is to be measured with a disk encoder like the one shown in Figure 1-6(b).(a) Assuming
Using the procedure given in Section 1-7, find the hexadecimal Gray code.
(a) List the 6-bit binary number equivalents for 32 through 47 with a parity bit added in the rightmost position, giving odd parity to the overall 7-bit numbers.(b) Repeat for even parity.
Encode the following Unicode code points in UTF-8. Show the binary and hexadecimal value for each encoding:(a) U+0040.(b) U+00A2.(c) U+20AC.(d) U+1F6B2.
Show the bit coniguration that represents the decimal number 255 in(a) Binary.(b) BCD.(c) ASCII.(d) ASCII with odd parity.
Decode the following ASCII code: 1000111 1101111 0100000 1000011 1100001 1110010 1100100 1101001 1101110 110001 1101100 1110011 0100001.
What bit position in an ASCII code must be complemented to change the ASCII letter represented from uppercase to lowercase and vice versa?
Internally in a computer, with few exceptions, all computation is done using binary numbers. Output, however, often uses ASCII, which is formed by appending 011 to the left of a BCD code. Thus, an
Internally in the computer, with few exceptions, all numerical computation is done using binary numbers. Input, however, often uses ASCII, which is formed by appending 011 to the left of a BCD code.
Represent the decimal numbers 715 and 354 in BCD.
Find the binary representations for each of the following BCD numbers:(a) 0100 1000 0110 0111(b) 0011 0111 1000.0111 0101
The following calculation was performed by a particular breed of unusually intelligent chicken. If the radix r used by the chicken corresponds to its total number of toes, how many toes does the
In each of the following cases, determine the radix r:(a) (BEE)r = (2699)10(b) (365)r = (194)10
Considerable evidence suggests that base 20 has historically been used for number systems in a number of cultures.(a) Write the digits for a base 20 system, using an extension of the same digit
A limited number system uses base 12. There are at most four integer digits.The weights of the digits are 123, 122, 12, and1. Special names are given to the weights as follows: 12 = 1 dozen, 122 = 1
Division is composed of multiplications and subtractions. Perform the binary division 1010110 , 101 to obtain a quotient and remainder.
Perform the following binary multiplications:(a) 1010 X 1100(b) 0110 x 1001(c) 1111001 x 011101
Perform the following conversion by using base 2 instead of base 10 as the intermediate base for the conversion:(a) (673.6)8 to hexadecimal(b) (E7C.B)16 to octal(c) (310.2)4 to octal
Convert the following decimal numbers to the indicated bases, using the methods of Examples 1-4.(a) 7562.45 to octal(b) 1938.257 to hexadecimal(c) 175.175 to binary.Example 1-4
Convert the following numbers from the given base to the other three bases listed in the table:
Convert the following decimal numbers to binary: 187, 891, 2014, and 20486.
What is the decimal equivalent of the largest binary integer that can be obtained with(a) 11 bits and(b) 25 bits?
Convert the following binary numbers to decimal: 1001101, 1010011.101, and 10101110.1001.
How many bits are in 1 Tb? [Depending on the tool used to calculate this, you may need to use a trick to get the exact result. Note that 220 = 1,000,00010 + d, where d is the difference between 220
What is the exact number of bits in a memory that contains(a) 128K bits;(b) 32M bits;(c) 8G bits?
List the binary, octal, and hexadecimal numbers from 16 to 31.
Using the scheme in Example 1-1, Find the discrete, quantized value of voltage and the binary code for each of the following Fahrenheit temperatures:-34, +31, +77, and +108.Example 1-1
This problem concerns wind measurements made by the wireless weather station. The wind-speed measurement uses a rotating anemometer connected by a shaft to an enclosed disk that is one-half clear and

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