Assume numbers are represented in 8-bit twos complement representation. Show the calculation of the following:

Assume we have a 2's complement system with an 8-bit whole number part and a 2-bit fractional part. Find a decimal representation of 2's complements binary number 1110 0010.01 it expects a numeric entry. It will automatically suppress leading and trailing zeros. It will display your answer with commas every third digit.

degital design

In single precision (IEEE-754 standard), 8 bits are used for storing the exponent (the bias is 127), and 23 bits are used for storing the mantissa.  (a) What are the smallest and the largest positive numbers that can be stored in single precision? (b) What is the smallest value of the mantissa that can be stored?

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

6. Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below. Show the sign, exponent, and mantissa (significand).b. 11.2265625

Find the binary representation for each of the following decimal represented numbers: 4, 8, 16, 32

1. unsigned binary and decimal representations.a. Give the 16-bit unsigned binary and hexadecimal representations of thedecimal number (2040).b. Give the 16-bit unsigned binary and decimal representations of the hexnumber (B2CF).

1. Write down the IEEE double-precision representation for the following decimal numbers: (a) 1.5, using round up. (b) 5.1, using round to nearest. (c) -5.1, using round towards 0. (d) -5.1, using round down.

To convert the decimal number 30 to an 8-bit binary number, use the following representation methods: a) the inverse of its complement: b) Excess-M:?