Verify. that the 6-3-1-1 code is a weighted code. Note that for some decimal digits, two different code combinations could have been used. For example, either 0101 or 0110 could represent 4. In each case the combination with the smaller binary value has been used.

Add the following two 8-bit Tom's floating-point format numbers and give the answer in both signed decimal and Tom's floating-point. Use unbiased rounding; i.e., round to nearest or even. Recall the format is sign, 3-bit 2's complement (not biased) exponent, and fraction with assumed hidden bit, in that order from left to right. Don't use a plus sign for positive answers. 10010011 +00100000= signed decimal Tom's floating-point

Provide a counter example for: The number n is an even integer if and only if 3n + 2 is an even integer.

This question concerns the field GF(256). The modulus is P(x) = x° + x* + x° + x + 1. Please answer the following questions about arithmetic in this field. a) If p(x) = x° + x* + x, what is the corresponding hexadecimal representation? Please prepend an "Ox" on your answer and use lowercase letters (if letters occur). b) If p(x) = x' + x + x² + 1, what is the corresponding hexadecimal representation? Please prepend an "Ox" on your answer and use lowercase letters (if letters occur). c) Consider the hex byte Ox8b. What is the corresponding element of GF(256) (as a polynomial)? d) Consider the hex byte 0x2d. VWhat is the corresponding element of GF(256) (as a polynomial)?

Give detailed solution (don't give handwritten solution).