What is the correct result if we add 0000 0001(oc8) to 1111 1111(oc8)? 0000 0001 1111 1110 0000 0000 1000 0000 Which of the following binary representations would use the fewest bits to store the decimal number -256? Two's complement One's complement Signed magnitude All bit representations would use the same number of bits. What is the correct range of values for a 16-bit binary number using the two's complement representation? -32,767 to 32, 767 -32,768 to 32,768 -32,768 to 32,767 -32,767 to 32,768 -42 to 42
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- 1.What is the minimum number of binary bits needed to represent each of the following unsigned decimal integers? 4095 65534 42319 2.What is the hexadecimal representation of each of the following binary numbers? 0011 0101 1101 1010 1100 1110 1010 0011 1111 1110 1101 1011 3.What is the binary representation of the following hexadecimal numbers? 0126F9D4 6ACDFA95 F69BDC2A 4.What is the unsigned decimal representation of each of the following hexadecimal integers? 3A 1BF 1001 5.What is the unsigned decimal representation of each of the following hexadecimal integers? 62 4B3 29FThe following is a string of ASCII characters whose bit patterns have been converted intohexadecimal for compactness: 73 F4 E5 76 E5 4A EF 62 73. Of the eight bits in each pairof digits, the leftmost is a parity bit. The remaining bits are the ASCII code.(a) Convert the string to bit form and decode the ASCII.(b) Determine the parity used: odd or even?Consider a 6-bit two’s complement representation. Fill in the box with question mark "?" in the following table. You don't need to care about "n/a." Number Binary Representation TMin + TMin ? Please input the binary representation in this format xxxxxx. For example, if the answer is 010010, please input 010010.
- What bit pattern is stored for the following characters assuming an 8-bit byte? a. A b. a c. 8 d. % 2. What character is represented by the following bit patterns? a. 0011 0000 b. 0100 0011 c. 0111 1000 d. 0010 1010Suppose A = +54 and B = -3 (both in base 10).Q1: What is the lowest number of rounds theoretically to complete the integer division using the optimized division algorithm?Q2: What is the resulting number in binary representation if we use 8 bits to represent it?Q3: What is the resulting number in FP decimal representation if we use the IEEE 754 standard for single precision? (form of this result should be in sign, true exponent in binary, IEEE-754 Exponent in binary and IEEE-754 exponent in decimal (base 10 number) )QUESTION 1 Which of the following is the ordinary binary representation of 6 5/8? A. 110.11 B. 10.011 C. 110.101 D. 100.101
- The number 12.410 is to be written using the closest 8-bit unsigned binary representation. i.Show, using a table of column weightings, that 1100.01102 represents the decimal value 12.37510. ii.Show, using a table of column weightings, that 1100.01112 represents the decimal value 12.437510. iii.Using your results from (i) and (ii) write down the 8-bit unsigned binary number and its decimal equivalent that gives the best approximation to 12.410. iv.Write the decimal number you wrote down in (iii) as a percentage of 12.4. Write your final answer as a percentage rounded to two decimal places.In an 8-bit binary number, which is the most significant bit (MSB)? What is the decimal representation of each of the following unsigned binary integers? 00110101 b. 10010110 c. 11001100 What is the sum of each pair of binary integers? 10101111 + 11011011 10010111 + 11111111 01110101 + 10101100 Calculate binary 00001101 minus 00000111. How many bits are used by each of the following data types? word doubleword quadword double quadword What is the minimum number of binary bits needed to represent each of the following unsigned decimal integers? 4095 65534 42319 What is the hexadecimal representation of each of the following binary numbers? 0011 0101 1101 1010 1100 1110 1010 0011 1111 1110 1101 1011 What is the binary representation of the following hexadecimal numbers? 0126F9D4 6ACDFA95 F69BDC2A Whatistheunsigneddecimalrepresentationofeachofthefollowinghexadecimalintegers? 3A 1BF 1001…1. A CRC code uses the following generator: G = 0x225. Codewords have 8 data bits. (a) Write the binary representation of G. (b) Write the polynomial representation of G. (c) How many CRC bits are there in a codeword? (d) Calculate the corresponding codeword for the following information bits: 0010 0011. Please provide clear explanation
- Convert IEEE Single-Precision Binary Format Real number 11000100101001000010101000000000 to decimal. Please show all the steps. a) [1] What is the sign? b) [1] What is the biased exponent value? c) [1] What is the unbiased exponent value? d) [2] What is the normalized representation of the number in BINARY? e) [1] What is the unnormalized representation of the number in BINARY? f) [1] What is the decimal value of the whole number part of the number? g) [2] What is the decimal value of the fractional part of the number? h) [1] What is the real number in base 108. 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. 1111 0010 + 1101 0110 ----------- Overflow? Yes or No Carry? Yes or No2. What is the 2s complement of the following binary numbers? a. 01100 b 10001 3. Add the following 5-bit signed binary numbers together. Please indicate if overflow occurs. a. 00100 + 11000 b. 01010 + 01000 c. 11010 + 10011