1.7 (2 marks) Add the following numbers in binary using 2’s complement to represent negative numbers....
(10/100) Add the following decimal numbers m binary: 11 + (-15). Use 2's complement to represent negative numbers. Use a word length of 5 bits (including sign). Indicate if an overflow' occurs.
Add the following numbers in 2's complement: -11 +19 using a word length of 6 bits
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...
Convert the following decimal numbers to 6-bit two's complement binary number and add them. Keep result in binary form. Enter yes/no for any overflows (overflows only, not carried bits). 16 + 9 .............. Overflow?................... 27 + 31 .............. Overflow?....................... (-4) + 19 .............. Overflow? ........................ 3 + (-32) ............ Overflow? ........................ (-16) + (-9) ............... Overflow? .............................. (-27) + (-31) ................ Overflow? ...........................................
2.20 Encode the following negative numbers using 2's complement representation in the binary and hexadecimal number systems using 8 and 16 bits. a. -12 b. -68 c.-128
1.8 (1 marks) A computer has a word length of 8 bits (including sign). If 2’s complement is used to represent negative numbers, what range of integers can be stored in the computer? If 1’s complement is used? (Express your answers in decimal.)
(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.
11. Perform the following hexadecimal additions and subtractions. Assume the numbers are stored in 32-bit 2’s complement binary numbers. Indicate the sign of the answer and whether overflow occurs. a. BBCA270C + AE223464 b. E3BA265F + E045B9A9 c. E9B20F5D – FE605C8D d. 5FCA5243 – AE223464
Computer arcitecture / Machine Organization 9. Express the negative value -25 as a 2's complement integer, using eight bits. Repeat, using 16 bits. Repeat, using 32 bits. What does this illustrate with respect to the properties of sign extension as they pertain to 2's complement representation?
Q1) Convert the following negative decimal numbers to 8 bit binary using the 2’s complement (show the steps): a) -39 b) -127 Q2) Solve the following subtraction problems using 2's complement representation. (Show the steps using 8-bits) a) 19 – 87 b) 89 – 5 Q3) Convert the following numbers into scientific notation: (Note: to show ten raised to the power of n, you can type as 10^n) a) 654.345 b) 0.000000324235 c) 25600000000000 Q4) Convert the following numbers out...