What is the binary equivalent (in signed-magnitude binary representation) of the following signed decimal value Represent the integer part of the binary value, including the sign, in 8 bits. Represent the fraction part of the binary value in 4 digits. Use truncation, if needed. 113.6875 D

3. floating point Convert the following decimal fixed point number to an IEEE single precision floating point format. Please show your intermediate calculations: 10.875 = Give the decimal fixed point equivalent of the following IEEE single precision floating point format number. Again, please show your intermediate calculations: 10000110 10101011000000000000000 (decimal)

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If the decimal value, 40, is shifted to the right (in binary) by 1 bit position, what will be the result when represented with 10-bits? Note: Your answer in binary should contain only 1 and 0 characters. Result in binary: Result in decimal:

Create a 4-bit by 3-bit binary multiplier that multiplies a 4-bit number by a 3-bit number. Note: The 4-bit number should be the multiplicand and the 3-bit number should be the multiplier.

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2. bases Give the requested equivalence for each of the following decimal numbers: 114 = (hexadecimal) -38 = (two's complement binary) 3.375 = (fixed point binary) and give the decimal equivalence for the following fixed point binary numbers 110.011 = (decimal fixed point number) 0.011101 (decimal fraction)

6. Convert the following binary numbers into Hexadecimal (base 15) format. a. 001010101010101010101010₂ b. 010101010101010001110₂

Convert the decimal number to a number in the given base.   3,111 to base 8