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- Using the Hamming code, determine whether the following code, 011011011110 is valid or not. If it is not, determine what bit is incorrect and make the correction.Using an 8-bit floating-point format in which the most significant bit is the sign bit, the next three bits represent the exponent field in excess notation, and the last four bits represent the mantissa, write the bit pattern that represents the value 1 3/4. (Use normalized form.)Performing the bitwise XOR operation on A = 000111 and B = 001101 and enter the result. The result must also have a size of 6 bit. Use only "0" and "1" without any other characters or spaces. Do not add a prefix.
- Convert the following two’s complement binary fixed-point numbers to base 10. The implied binary point is explicitly shown to aid in your interpretation.( show all the steps) a)011101.10101 b)100110.11010Convert the following IEEE 754 single-precision numbers in hexadecimal into their decimal values accurate to 7 significant figures. All intermediate steps must be clearly shown. A single result will not receive marks. a. 0x3d4c0000 b. 0x40bc0000Addition in 5 bits 7 7 7 -13 +4 +9 - 9 - 6 Convert all numbers to binary, perform addition, interpret results using signed representation. Then, re-interpret the results using unsigned representation.
- Convert the following decimal number to IEEE-754 single precession FP format: 78.8125 Perform all the steps in binary. Show the result in binary and hexadecimal.Write down the bit pattern assuming that we are using base 15 numbers in the fraction instead of base 2. (Base 16 numbers use the symbols 0–9 and A–F. Base 15 numbers would use 0–9 and A–E.) Assume there are 24 bits, and you do not need to normalize. Is this representation exact?How will the bit representation be expanded for unsigned number (unsigned short usx to unsigned ux) and signed number (short sx to int x) for the following code.
- Represent the following numbers to its 6-bit binary representation and perform binary subtractionusing 2’s compliment representation 50-30?Determine the Decimal Value (Base 10) of the following IEEE-754 32-bit floating-point representation. Show your working. (Hint: identify the sign bit, the biased exponent and the trailing significand /mantissa).0 01111111 110 0000 0000 0000 0000 0000Determinethe Decimal Value (Base 10) of the following IEEE-754 32-bit floating-point representation. Show your working. (Hint: identify the sign bit, the biased exponent and the trailing significand /mantissa). 0 01111111 110 0000 0000 0000 0000 0000