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5.1. Attempt the following questions. [CL0-3] [5] a. Multiply the following numbers using signed by unsigned...
a. Multiply the following numbers using signed by unsigned multiplication and write output Qn.m format. (101111)...
a. Multiply the following numbers using signed by unsigned multiplication and write output Qn.m format. (101111) signed Q3.3 x (111101) Unsigned Q2.4
a. Multiply the following numbers using signed by unsigned multiplication and write output On.m format (101111)...
a. Multiply the following numbers using signed by unsigned multiplication and write output On.m format (101111) signed Q3.3 x (111101) Unsigned Q2.4
3. Convert the following signed hexadecimal numbers to decimal . a) EE2 b) 7F2 c) 2FE...
3. Convert the following signed hexadecimal numbers to decimal . a) EE2 b) 7F2 c) 2FE 4. Perform the subtractions with the following binary numbers using 2’s complement Check the answer by straight binary subtractions. a) 10011 – 10001, b) 10110 – 11000, c) 100111011 – 10001. 5. What is the decimal equivalent of the largest binary integer that can be obtained with a) 11 bits unsigned signed b) 25 bits? unsigned signed
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)...
Given: The following questions deal with two unsigned 6-bit numbers shown below in the hex format....
Given: The following questions deal with two unsigned 6-bit numbers shown below in the hex format. A= 0x08 B=0x15 Suppose that the multiplier shown below is used to calculate the product of A (Multiplicand) and B (Multiplier) (Assume both values are unsigned). Consider using the "Add-and-Right-Shift Multiplier" design to compute A*B. You may assume all registers are large enough to contain as many bits as are required. Sought: a) What are the value in for the Multiplicand, Multiplier and Product...
Given: The following questions deal with two unsigned 6-bit numbers shown below in the hex format....
Given: The following questions deal with two unsigned 6-bit numbers shown below in the hex format. A= 0x02 B=0x1F Suppose that the multiplier shown below is used to calculate the product of A (Multiplicand) and B (Multiplier) (Assume both values are unsigned). Consider using the "Add-and-Right-Shift Multiplier" design to compute A B. You may assume all registers are large enough to contain as many bits as are required. Sought: a) What are the value in for the Multiplicand, Multiplier and...
1. Consider the following 7-bit binary sequence "1010001" a. Assuming the sequence is 7-bit unsigned binary,...
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...
1. Consider the following 7-bit binary sequence "1010001" a. Assuming the sequence is 7-bit unsigned binary,...
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...
PLEASE SHOW MATH OF IT ALL Given n bits, how many signed numbers can be represented...
PLEASE SHOW MATH OF IT ALL Given n bits, how many signed numbers can be represented using the sign-and-magnitude method, the ones’ complement method, and the two’s complement method, respectively? (5 points) Number conversion (2.5 x 22 = 55 points) Convert the following unsigned binary numbers to decimal: 11111 101 Convert the following decimal numbers to binary: 111 35 Convert the following octal numbers to binary: 1111 731 Convert the following unsigned binary numbers to octal: 101010111001 1001 Convert the...
(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...
a. Multiply the following numbers using signed by unsigned multiplication and write output On.m format (101111) signed Q3.3 x (111101) Unsigned Q2.4
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)...
Given: The following questions deal with two unsigned 6-bit numbers shown below in the hex format. A= 0x08 B=0x15 Suppose that the multiplier shown below is used to calculate the product of A (Multiplicand) and B (Multiplier) (Assume both values are unsigned). Consider using the "Add-and-Right-Shift Multiplier" design to compute A*B. You may assume all registers are large enough to contain as many bits as are required. Sought: a) What are the value in for the Multiplicand, Multiplier and Product...
Given: The following questions deal with two unsigned 6-bit numbers shown below in the hex format. A= 0x02 B=0x1F Suppose that the multiplier shown below is used to calculate the product of A (Multiplicand) and B (Multiplier) (Assume both values are unsigned). Consider using the "Add-and-Right-Shift Multiplier" design to compute A B. You may assume all registers are large enough to contain as many bits as are required. Sought: a) What are the value in for the Multiplicand, Multiplier and...
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...
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...
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