Answer)
a) 0010 1100 - 0101 1010 = 0101110 (Decimal value equivalent to = - 46)
b) 0101 1011 - 1110 1011 = 10010000 (Decimal value equivalent to = -144)
c) 1110 1011 - 1010 1101 = 0111110 (Decimal value equivalent to = 62)
For the signed 8-bit numbers and their subtraction operations as above results, no overflow occur for any of them as they fit into the 8-bits perfectly.
Q16) find the difference of each of the following signed 8-bit numbers and indicate which cause...
Perform two’s complement addition on the following pairs of numbers. In each case, indicate whether an overflow has occurred. a. 1001 1101 + 1111 1110 b. 0111 1110 + 0110 0111 c. 1000 0011 + 1000 0010 d. 1010 1000 + 0010 1100
Convert each of the following 32 IEEE 754 single precision bit patterns to its corresponding decimal value (the bits are separated into groups of 4 to make interpretation easier). Show all of your work and include a few comments as to what you are doing at each step. 1100 0100 1011 1010 0100 1000 0000 0000 a. b. 0100 0101 1110 0010 0110 1101 0000 0000 Convert each of the following 32 IEEE 754 single precision bit patterns to its...
3. What is the hexadecimal representation of each of the following binary numbers in signed 2’s complement? 0010 0101 0100 0011 0001 1011 0010 0100 1111 0110 1101 1001
5. (5 points] The following sequences of bits (right-most first) appear on the inputs to 4-bit parallel adder. Determine the resulting sequence of bits on each sum output. A1 1101 A2 1110 Аз 0000 A4 1011 B2 1100 By 1010 B4 0010
3) Convert following decimal to 8-bit signed numbers in hexadecimal, use two’s-complement for signed integer 127d, -20d, -128d, -1d 4) Convert the 16-bit signed numbers to the decimal C0A3h, 3AECh, 0101 1001 0111b, 1011 0101 1001 0111b please solve the problems step by step. It would be of great help.
CruzlD: @ucsc.odu Arithmetic and Logical Operations 19. Which of these 8-bit two's complement computations has carry out but no overflow? Select two answers: 1 1 011001 10 0 111 1 110 O A. averflas 1IIOOIOO O B. 1 0000000 has 11 1 1 111 1 co has c.o 1110i no dverfle + 0100 1101 1 1 01 011 O D. overluw + 0101 1 1 0 1 E 1 1 10 1 0 + 11 1 1 1000 20. Using...
21. What is AA BA in 8-bit unsigned representation? [all numbers are given in hex] a. Overflow b. 10 1A C. d. A1 22. What is the 8-bit 2's complement representation of a number which is represented as 811s in 8-bit sign- magnitude integer representation? а. FF16 b. 1816 1116 C. d. Cannot be determined 23. What is 3B16 AB16 in 8-bit sign-magnitude representation? а. DB:6 b. 1016 2B16 C. d. Cannot be determined 24. What is 1100 - 0001...
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)...
Note: Please post your homework to ICS232 D2L on or before the due date. If you do not post your homework on or before the due date, please post your late homework when complete (Late Homework: -15% Penalty). 1. (5 pts) Define the following a. Combination Logic: b. Sequential Logic: c. How are sequential circuits different than combinational circuits? 2. (5 pts) Add the following 8-bit two's complement numbers (i.e. one sign bit and seven data bits) AND indicate "Overflow"...
1. 2. Find the decimal value of the following 8-bit numbers for (i) un-signed and (ii) signed number. (a) 11010110, (b) 01011101 Express the following decimal numbers in 6-bit 2's complement representation: (a) -27, (b) 6, (c)-13, (d) -47 - 4. Convert decimal numbers 83 and 101 to 8-bit unsigned binary number. Find the sum and difference (with addition approach) of these two numbers.