1. Convert each of the following decimal numbers into an 8-bit binary including a sign bit using 2's complement Numbering Decimal number Binary а. -20 b. -64 с. -80 d. -128
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- 7. Add the following two 8-bit binary numbers, producing an 8-bit result. Indicate the status of the carry and overflow bits at the end of the addition by circling the appropriate choices. The space in between is only for readability. 1101 0110 + 1001 0111 -------------- Overflow? Yes or No Carry? Yes or No1. This question is about Binary Arithmetica. Calculate, showing all stages of your working, the representations of the following decimal numbers in 8-bit two’s complement:m = -61 p = -6n = -3 q = 43o = 15 r = -86b. Calculate, showing all stages of your working, using 8-bit two’s complement, the sums: m + n, n + o, m - o, p - q, r + q and q + (p - m).Hi I need help with this data encoding problem, no computer coding is involved. 6. Add the two's complement (16 bit) values as indicated, writing your answer in the space provided. Indicate whether there was 'Overflow' or 'No overflow' and 'Truncation' or 'No truncation as appropriate. Remember, each answer must have exactly 16 bits. 0001 0100 1000 1101 + 0100 0010 0010 0111= ______ Did overflow occur? Y or N Did truncation occur? Y or N
- 1. Assume numbers are represented in 8-bit two's complement Show the calculation of the following: a) 5 + 10 b) 5 – 10 c) -5 + 10 d)-5 – 10 2. Represent the following decimal numbers or values according to the given requirements: a) +4 in both binary sign/magnitude and two's complement b) -6 in both binary sign/magnitude and two's complement c) -85 in two's complement d) +52 in two's complement 3. Find the following differences using twos complement arithmetic: a) 001000 – 110111 b) 10100101 – 011110 c) 100100001011 – 101010110011 d) 10011011 – 101001012. Convert the following binary numbers to floating point format. Assume a binary format consisting of a sign bit (negative = 1), a base 2, 8-bit, excess-128 exponent, and 23 bits of mantissa, with the implied binary point to the right of the first bit of the mantissa.a. 110110.011011b. −1.1111001c. 0.1100×236d. 0.1100×2−361) Answer the following questions: What is the greatest magnitude negative number one can represent in n-bit 2'scomplement code? 2)Show the 8-bit binary signed-magnitude representation for the following decimalnumbers: -109 10 +43 10 3)Perform the following additions and subtractions. Assume the numbers arestored in signed-magnitude base 2 representation. -1010111 + -10011
- 98. Usually, it takes 10-bits to represent one character. How many characters can be transmitted at a speed of 1200 BPS? a. 12 b. 120 c. 1200 d. 12000(a) For the following two cases, please determine the radix r:(BEE)r = (2699)10(365)r = (194)10(b) Please add, subtract, and multiply in binary:100100 and 10110(c) Please add the following numbers in binary using 2’s complement to represent negative numbers.Use a word length of 6 bits (including sign) and indicate if an overflow occurs:(-11) + (-4) = ?11 + 9 = ?(-10) + (-6) = ?(d) Assume the following three cases are correct and assume three digits are used to represent positiveintegers. Determine the base of the numbers. Did any of the additions overflow?654 + 013 = 000024 + 043 + 013 + 033 = 223024 + 043 + 013 + 033 = 201. What are the 16-bit 1’s and 2’s complements of the following binarynumbers?a. 10000b. 100111100001001c. 01001110001001002. Convert the following binary numbers to floating point format.Assume a binary format consisting of a sign bit (negative = 1), a base 2,8-bit, excess-128 exponent, and 23 bits of mantissa, with the impliedbinary point to the right of the first bit of the mantissa.a. 110110.011011b. −1.1111001c. 0.1100×236d. 0.1100×2−36
- Convert each of the following bit patterns into real numbers. Assume the values are stored using the floating point bit model. 11000001000101101011100001010010 =271. In Return to Zero (RZ), the signal changes not between bits but a. before the bit b. after the bit c. doesn d. during the bitCan you distinguish between the most significant and least significant bits?