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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...
e,f,g,h,i 1) Given: X 0xA4 and Y 0x95, a) Convert X and Y to 8-bit binary numbers. b) Compute the 8-bit sum X+Y of X and Y o) Compute Y the 8-bit two's complement of Y. d) Compute the 8-bit difference X"Y of X and Y. (Use two's complement addition.) o) Convert XiY, Y, and, X Y to hexadecimal. D What are the values of the condition flags z n c v upon computing X-+Y? g) What are the values...
Please convert the 4-bit, signed two's complement value to it's unsigned magnitude in binary and it's signed decimal value: 0b1100
1. a) Perform the following binary subtractions of unsigned binary numbers. Convert your answer to decimal. i) 101001012 - 01001001, ii) 110110102 - 100100112 b) Repeat the calculations above but for when the binary numbers are in two's complement form. Comment on the results of the two methods used, noting and discrepancies. 2. Find the sums of the following unsigned hexadecimal numbers. Indicate whether or not the sum overflows an equivalent 8-bit binary result. a) 1116 +2216 b) 1716 +3516...
Perform the following binary multiplications using 7-bit signed numbers in two's complement format. Convert them to decimal, and verify the correct result of the operation.
a) Perform these 7-bit, unsigned binary operations. Keeping only 7 bits for the result, indicate whether or not overflow occurred (i.e. whether the answer is correct or if there were not enough bits). 0111010 0110010 1010010 +1001111 +1000111 -0110001 b) Perform these 7-bit, signed two’s complement binary operations. Keeping only 7 bits for the result, indicate whether or not overflow occurred. 0111010 0110010 1010010 +1001111 +1000111 -0110001
2. Convert the following two's complement binary numbers to decimal numbers. These numbers are integers. a. 110101 b. 01101010 c. 10110101 3. Convert the following decimal numbers to 6-bit two's complement binary numbers and add them. Write the results in 6-bit two's complement binary number format and decimal number format. Indicate whether or not the sum overflows a 6-bit result. a. 14 + 12 b. 30 + 2 C. -7 + 20 d. -18-17 4. What is the signed/magnitude and two's complement range of...
For problems 8, 9 and 10, convert the following decimal numbers into 8‑bit binary numbers as required for 2's complement math, and perform the indicated operations. Circle or bold your binary answer and show your work. Notes: Remember that positive numbers are represented in sign-magnitude format in 2's complement math 8. +26 +15 = 9. +26 - 15 = 10. - 26 +15 =
7. Convert the following 16 bit unsigned binary integers to Hex. a) 1000111000011011 b) 0011110011110001 c) 1110010110100101 8. Convert the following 3 “digit” Hex unsigned integers to 12-bit unsigned binary integers. a) F3B b) 1CD c) 9AE
Convert the following numbers from binary to decimal, assuming nine-bit two’s complement binary representation: 1 0110 1010