5. Complete the arithmetic on these signed numbers. Convert the result to decimal. The computer is limited to 8 bits. (a) Ob 1000+ 0b 0111 (b) ob 0001 0010+ 0b 0101 0100 (c) 0b111 + 0xF
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- A(n) __________ is an integer stored in double the normal number of bit positions.___________ occurs when the result of an arithmetic operation exceeds the number of bits available to store it.D. What is the minimum number of binary bits needed to represent each of the following unsigned decimal integers?I) 65II) 409III) 16385
- how many bits are required to represent the following decimal numbers? (a) 68 (b) 81 (c) 114 (d) 132 (e) 2051) 0xBEAD (in hex) can be written in decimal (base 10) as: 2) 23.2578125 (decimal) is expressed in binary (base 2) as: Do no use any spaces within your representation. Use 8 bits to represent the integer part, and an additional 8 bits to represent the fractional parts (i.e., 8 bits before the radix point and after the radix point).How many bits are required to represent the following decimal numbers? a. 17b. 68c. 132d. 12e. 121
- 1. List the octal and hexadecimal numbers from (16)10 to (32)10.2. Convert the following numbers with indicated bases to decimal.(a) (4310)5(b) (123)8(c) (2F A)16(d) (212)33. What is the largest binary number that can be expressed with:(a) 8 bits,(b) 10 bits,(c) 16 bits.In each case, write their decimal and hexadecimal equivalents.4. Determine the base of the numbers for the following operation to be correct: 54/4 = 135. Convert the hexadecimal number 68BE to binary, and then convert it from binary to Octal.6. Convert the decimal number 431 to binary in two ways:(a) Convert directly to binary.∗Engr. Sheraz Ali Khan, PhD 1 (b) First convert it into hexadecimal and then from hexadecimal to binary. Which is faster in youropinion?7. Express the following numbers in decimal:(a) (10110.0101)2(b) (26.24)8(c) (F AF A.B)168. Solve the following conversion problems:(a) Convert the decimal number 27.315 to binary.(b) Calculate the binary equivalent of 2/3 to eight places after the binary point.…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 10If the most significant bit of a signed binary number is 0, that number is: Select one: a. incorrect b. negative c. in hexadecimal format d. positive
- Assume 48 and 80 are signed 8-bit decimal integers. 48 in decimal → 0011 0000 in binary 80 in decimal → 0101 0000 in binary There is no overflow when calculating the summation of these two numbers (48+80). Is it true or false? True FalseWhat is the largest binary number that can be expressed with:(a) 8 bits,(b) 10 bits,(c) 16 bits.In each case, write their decimal and hexadecimal equivalents.6. Convert the following numbers from unsigned binary notation to decimal notation, and from 6-bit 2's complement notation to decimal notation: i) 110011, ii) 001101, iii) 101101 7. Show how each of the following floating point values would be stored using IEEE-754 single precision (be sure to indicate the sign bit, the exponent, and the significand fields): a. 12.5 b. −1.5 c. 0.75 d. 26.625 8. The following is a representation of a decimal floating value using IEEE-754 single precision. Find out the value in decimal. 0 10000011 10101000000...0