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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. 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...
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
please help me solve these. discrete structures for computing. Answer the following 1) 2points Use a table to express the values of the Boolean function: F(x, y, z) = xy + (xyz) 0 0 0 0 0 1 0 1 0 011 1 0 0 1 0 1 110 11 2) 2points) Find the sum-of-products expansion of the Boolean function: F(x, y, z) = (x + 2)y. i.e. 3) (2 points] Express the Boolean function F(x, y, z) = xy...
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)...
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.
Draw the circuit for a combinational logic circuit that, given an 8-bit unsigned binary number N = N7N6N5N4N3N2N1N0, the output for F is the signed 1's complement representation of N.
Q2 (20pts) Design a combinational ct that accepts an input 3-bit binary number (XYZ) and generates an output 4-bit binary number (ABCD) where output equal to the double of the input number. (a) Construct the truth table (b) State each output-bit as a function in sum of minterms (SOM) form: (c) State each output-bit as a function in product of maxterms (POM) form: ΠΜ(.) (d) Optimize the circuit using K-maps and find the simplified functions Show your work full-credit. Q3...
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
Create a 4 bit Signed Multiplier with the following specifications: INPUTS A 4 bit 2's complement binary number. This could be positive or negative. B 4 bit 2's complement binary number. This could be positive or negative OUTPUT: 8 bit 2's complement binary number (This could be a positive or negative number) The overall circuit should look like this: 2's Complement Signed Multiplier At a minimum, the circuit must be implemented using controlled inverters and an unsigned multiplier as discussed...