what is the binary (base 2) representation of 101 (base 10)?
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what is the binary (base 2) representation of 101 (base 10)?
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- Give me 5 examples of binary representation.Consider the decimal number (-48.325). Write down binaryrepresentation of this number using the IEEE 745 single precision format. Clearly specify “Sign”, “Exponent” and “Mantissa” fields of the single precisionrepresentation.Create an uninitialized data declaration for a 64-bit integer.
- Create an uninitialized data declaration for a 16-bit signed integer.4. The bfloat16 "brain floating point" format is a 16 bit format used in Google's machine learning and AI software. It is a binary floating point format which is very similar to the single precision IEEE-754 format: 1 bit is allocated for the sign, 8 bits for the exponent with a bias of 127, but only 7 bits are allocated for the fraction (the exponent is always chosen so that the first digit of the mantissa is 1, and then only the fraction is stored in memory). (a) What is the approximate decimal precision of a brain floating point? (b) If the bits are stored in the order: sign, exponent, fraction, and 0 corresponds to a positive sign, then calculate the decimal representation of the number stored as 1 00000110 0100010 (c) Given that the largest exponent actually used for numbers is 11111110, what is the largest number that can be expressed as a bfloat 16? (d) Supposing that numbers are truncated (rounded down), what is the maximum absolute rounding error in bfloat16?Construct binary self-dual code of length 4 and 8.
