Convert −1710 to 8-bit 2’s complement. (Show your work.)
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A: 171 – 68 = 171 + (-68) = 103 171 = 00 1010 1011 68 = 00 0100 0100
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1. Convert −1710 to 8-bit 2’s complement. (Show your work.)
2. Convert 50026 to decimal. (Show your work.)
3. What is the largest 3 digit number we can represent in Octal? Give the octal representation and convert to decimal.
4. Convert 101101110112 to hexadecimal.
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- How is the following binary number represented? Please see below and match the left with the right correctly. 1000 0011 In unsigned representation : - 131 or -3 or 125 In signed-magnitude representation : - 131 or -3 or 125 In 2's complement representation : - 131 or -3 or 125Obtain the 1’s and 2’s complements of the following binary numbers: (a) 00010000 (d) 10101010 (b) 00000000 (e) 10000101 (c) 11011010 (f) 11111111 Represent the unsigned decimal numbers 791 and 658 in BCD, and then show the steps necessary to form their sum. Express the following numbers in decimal: (a) (10110.0101) 2 (b) (16.5) 16 (c) (26.24) 8 (d) (DADA.B) 16 (e) (1010.1101) 2 Add and multiply the following numbers without converting them to decimal. (a)Binary numbers 1011 and 101. (b)Hexadecimal numbers 2E and 34.Assume that we use signed binary two's complement representation. The largest decimal value we can represent with 8 bits is and its binary form is The smallest decimal value we can represent with 8 bits is and its binary form is Decimal equivalent of 00010010 is Decimal equivalent of 11101010 is
- 8- Convert to octal and then to decimal: (a) (10111011.1): (b) (1101101.011):What decimal value does the 8-bit binary number 10011110 have if (Please show the calculation process): 1. It is on a computer using one's complement representation? 2.lt is on a computer using two's complement representation?Given the binary numbers A = 1101101 and B=110.011. Find their sum and difference Given the hexadecimal number CA7.5. Find their equivalent in octal. Find the two's complement of -27.3125.
- 4. Find 8-bit l's complement numerals representing the following decimal numerals: a. 89 b. 135 c. 225 d. -37 е. -78 f. -128 g. -230Assume numbers are represented in 8-bit twos complement representation. Show the calculation of 11000011 - 11101000. It's 195 minus 232, but I don't get how to solve it when the second number is a higher value than the first. How do I subtract this?3. Perform the following operations involving four-bit 2's complement numbers and indicate whether arithmetic overflow occurs. Verify your answers by converting to decimal sign- magnitude representation. 0011 +0100 0101 +0110 0101 + 1010 1011 +0110 1101 + 1100 1011 + 1010
- What decimal value does the 8-bit binary number 10011110 have if (Please show the calculation process): It is on a computer using one’s complement representation? 2.It is on a computer using two’s complement representation?What does the 8-bit binary value 00100011 represent if a computer is using a. Signed magnitude representation? b. Signed one's complement representation? c. Signed two's complement representation?Given the binary numbers X = 101111001 and Y = 1010001, Z = 11110011, perform the followings: (a) X - Y (using 2’s complements) (b) Y- Z (using 2’s complements) (c) Z-X (using 1’s complements)