Convert the following decimal numbers to binary 4-bit two’s complement representations, or explain why the conversion is not possible. a. -10 b. -4 c. 14

Convert the following decimal numbers into an 8-bit two's complement signed representation. Be sure to show all of your work. (a) (-32) ten (b) (+78) ten (c) (-127) ten (d) (-1) ten

H - For the IEEE 754 single-precision floating point, write the hexadecimal representation for the following decimal values: (i)–1.0 (ii)– 0.0 (iii)256.015625

1) Assume we have 8 bit (1 byte) 2's complement system with a 3-bit fractional. Find a decimal representation of 2's complements binary number 1011 0101.001 2) Assume we have a byte system for the fixed number representation (the whole number is presented with 8-bits (one byte) and the fractional part is presented with 2-bits), find the 2's complement of 0110 0010.01

What are the ranges of values that can be represented by 8-bit binary numbers using: a) Signed magnitude b) One's complement c) Two's complement Using 8-bit 2's compliment number, add 14 and -29

Convert the following decimal numbers into 8-bit two's complement representation, and then perform the required arithmetic operation. Show your works. -1010-6010

Negate the following Binary value using 16-bit 2's complement: 10001000001 Give the 16-bit binary representation and then specify the sign and decimal magnitude of the result.

c) Show how a computer would calculate the operation 14 - 5 (fourteen minus five) by first converting the numbers to 8 bit 2's complement representation and then performing the operation.

Show the 8-bit binary signed-magnitude representation for the following decimal numbers: e. +(0)10 f. -(0)10

i) The 8-bit binary (two’s-complement) conversion of the signed decimal integer -128 is what? ii) The hexadecimal representation of the binary number 1111 1101 1010 0011 0101 is?

Convert these decimal values to 16-bit 2's complement representation. Show the binary math. Convert back from 16-bit 2's complement to decimal.

Floating-Point Representation. What is the floating-point value for binary 4. a) 11000010100000 using the simple model (14-bit format, 5 bits for the exponent with a bias 15, a normalized significand of 8 bits, and a single sign bit for the number)?

3. Fill in the following table to show how the given integers are represented, assuming that 16 bits are used to store values and the machine uses two's complement notation. 4-Byte Big Endian (Hex 4-Byte Little Endian (Hex Integer Binary Hex value as seen in memory) |value as seen in memory) 28 2216 -18675 -12 31456