A = 1011010 B = 101010 1) What is A × B if they are unsigned...
A = 1011010 B = 101010
1) What is A × B if they are unsigned numbers? Use the Booth2 algorithm and show the partial products. (show 14 bits)
Homework Answers
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4. Perform subtraction on the given unsigned binary numbers using the 2nd complement of the subtrahend...
4. Perform subtraction on the given unsigned binary numbers using the 2nd complement of the subtrahend (using 8-bit register). Show the result also in decimal 10111- 10110 101010 - 101110
1. Consider all the unsigned binary numbers with fewer than 14 bits. a) How many unique...
1. Consider all the unsigned binary numbers with fewer than 14 bits. a) How many unique numbers are possible? b) How many of these values have the same number of 1's to the left and right of a single 0 (disregarding leading zeros). c) Are any of these numbers prime?
1. For the following number of bits, what is the range of unsigned and signed decimal...
1. For the following number of bits, what is the range of unsigned and signed decimal values that can be represented? a. 12-bits b. 10-bits
2. Perform the following binary multiplications, assuming unsigned integers: B. 10011 x 011 C. 11010 x...
2. Perform the following binary multiplications, assuming unsigned integers: B. 10011 x 011 C. 11010 x 1011 3. Perform the following binary divisions, assuming unsigned integers: B. 10000001 / 101 C. 1001010010 / 1011 4. Assume we are using the simple model for floating-point representation as given in the text (the representation uses a 14-bit format, 5 bits for the exponent with a bias of 16, a normalized mantissa of 8 bits, and single sign bit for the number ):...
(ii) The following two numbers are represented in unsigned binary: A = (10001)2 B=(100102 Represent these...
(ii) The following two numbers are represented in unsigned binary: A = (10001)2 B=(100102 Represent these two numbers in signed l's complement form and perform the following binary arithmetic operations using the l's complement method. Use the necessary number of bits to represent both numbers and results including the sign bit. C= A +B; D=A-B.
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...
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)...
10.11 (Left Shifting Integers ) Left shifting an unsigned int by 1 bit is equivalent to...
10.11 (Left Shifting Integers ) Left shifting an unsigned int by
1 bit is equivalent to multiplying the value by 2. Write function
power2 that takes two integer arguments number and pow and
calculates number * 2pow. You should declare pow as an unsigned
integer , but remember that the result may be a negative value .
Use the shift operator to calculate the result. Print the values as
integers and as bits . Assume that an integer is of...
Suppose you have 3 N-bit unsigned integers: a, b, and c. What is the minimum number...
Suppose you have 3 N-bit unsigned integers: a, b, and c. What is the minimum number of bits required to present: (a*b)+c in order not to get an overflow? Explain how you reached your answer.
Given n bits, how many unsigned integers can be represented with the n bits? What is...
Given n bits, how many unsigned integers can be represented with the n bits? What is the range of these integers? (6 points) There are 26 characters in the alphabet we use for writing English. What is the least number of bits needed to give each character a unique bit pattern? How many bits would we need to distinguish between upper- and lowercase versions of all 26 characters? (12 points)
(3 pts) Consider an unsigned fixed point decimal (Base10) representation with 8 digits, 5 to the...
(3 pts) Consider an unsigned fixed point decimal (Base10) representation with 8 digits, 5 to the left of the decimal point and 3 to the right. a. What is the range of the expressible numbers? b. What is the precision? c. What is the error? ______________________________________________________________________________ (3 pts) Convert this unsigned base 2 number, 1001 10112, to each base given below (Note: the space in the binary string is purely for visual convenience) Show your work. Using...
4. Perform subtraction on the given unsigned binary numbers using the 2nd complement of the subtrahend (using 8-bit register). Show the result also in decimal 10111- 10110 101010 - 101110
1. For the following number of bits, what is the range of unsigned and signed decimal values that can be represented? a. 12-bits b. 10-bits
(ii) The following two numbers are represented in unsigned binary: A = (10001)2 B=(100102 Represent these two numbers in signed l's complement form and perform the following binary arithmetic operations using the l's complement method. Use the necessary number of bits to represent both numbers and results including the sign bit. C= A +B; D=A-B.
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)...
10.11 (Left Shifting Integers ) Left shifting an unsigned int by
1 bit is equivalent to multiplying the value by 2. Write function
power2 that takes two integer arguments number and pow and
calculates number * 2pow. You should declare pow as an unsigned
integer , but remember that the result may be a negative value .
Use the shift operator to calculate the result. Print the values as
integers and as bits . Assume that an integer is of...
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