Convert the following decimal fractions to binary with a maximum of six places to the right of the binary point (show the steps): a) 34.79125, b) 219.01225, c) 170.786765
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Convert the following decimal fractions to binary with a maximum of six places to the
right of the binary point (show the steps):
a) 34.79125, b) 219.01225, c) 170.786765, d) 16.1120244375
Step by step
Solved in 5 steps with 3 images
- 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.Convert the following decimal numbers to binary 4-bit two’s complementrepresentations, or explain why the conversion is not possible.a. 3 b. -5 c. -10
- Calculate (3.41700875 *10-3 + 6.34005625*10-3)* 1.25625* 102 by hand, assuming each of the values are stored in the 16-bit half precision format describedin in the textbook. Assume 1 guard, 1 round bit, and 1 sticky bit, and round to thenearest even. Show all the steps, and write your answer in both the 16-bit floating point format and in decimal.Calculate the checksum for the following binary numbers. Give the result in binary. Use the 16-bit format. 11010110 10000100 00110111 10101001 01010100 10100010 01101010 11000101Represent the following into floating point binary format given that the number is written into 10 bits. The first two bits represents the sign of the number and the exponent respectively, the next five bits represents the magnitude of mantissa and the remaining 3 bits represents the magnitude of the exponent. 9134 -0.6543
- Convert each of the following bit patterns into real numbers. Assume the values are stored using the floating point bit model. 00111111100000000000000000000000 = 11000001000101101011100001010010 =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.…Answer the following questions. 1) Convert base 16 hexadecimal number 1111.116 to base 10 decimal number. 2) Convert base 2 unsigned binary number 0111 0101.10102 to base 10 decimal number.
- Calculate (4.41762275 *10-3 + 6.34225625 *10-3) * 1.05225 * 102 by hand, assuming each of the values are stored in the 16-bit half precision format described in in the textbook. Assume 1 guard, 1 round bit, and 1 sticky bit, and round to the nearest even. Show all the steps, and write your answer in both the 16-bit floating point format and in decimal.Given the following decimal numbers, convert the numbers to a 16-bit memory location in binary using two's complement. (show all details step by step) 165910 - 165910 954610 - 954610 Convert the following decimal numbers to binary using the two’s complement format, using 8 bits: 4810 -3910 -28410 010 Briefly explain why two’s complement is the best format for representing signed integers in a computer. 4. Convert the following decimal numbers to binary floating-point representation, using 4 bits for the fractional part: 68.510 125.4410 99.9910 give the answer of everything otherwise dont give. pleaseHow many bits are required to represent the following decimal numbers? a. 17b. 68c. 132d. 12e. 121