Convert each of the following binary representations to its equivalent base ten form: a. 0101 b. 1001 c. 1011 d. 0110 e. 10000 f. 10010
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- Convert the following binary representations to its equivalent base ten form 1. 0110 2. 10000 3. 10010Represent 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. 123 324 -57.214 9134 -0.6543Convert 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 10
- Convert each of the following base ten representations to its equivalent binary form 1. 6 2. 18 3. 27Assume that each alphanumeric ASCII character is represented by 7 bits, decipher the following code: 100101011011111010001101110Given 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. please
- Question: Convert the word "holiday" to base 64 encoding. Show all your work8) A number with 6 digits (in its decimal notation) will: a)have between 15 and 21 digits in its binary notation b)have 10 digits in its base 6 notation c)always occupy less than 21 bits in its notation in the 2's complement encodingWhy do we use binary encoding to represent information in the computer? What would be the pros and cons of using base-10 instead of base-2?
- 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.1. What is the binary representation of the largest positive integer that can be represented with 19 bits 2. What is the LARGEST base ten number that can be represented with 1 BYTE in BinaryWrite down the binary representation of the decimal number 63.25 assuming it was stored using the single precision IBM format (base 16, instead of base 2, with 7 bits of exponent).