# Solution Library

# Expressing Given Values In Binary

**Question**

Given X = B6 E1 16 and Y = 1C 7D16; where X & Y are 16 bit numbers.

(i) Express the value of X and Y in binary.

(ii) What will be the results of the logical computation NOT ( X OR Y ).

(iii) Suppose X is represented using two’s complement representation. Calculate its decimal value.

(iv) If the computer registers are 16-bit wide, what will be the decimal value after multiplying X by 2 (Hex)?

(v) Prove that right shift operation performed on Y consecutively for four (4) times will be equivalent to dividing X by 16, ignoring any fractions.

**Summary**

The question belongs to Computer Science and it discusses about expressing the given values of X and Y in binary.**Total Word Count 87**

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