Direction: Subtract the following binary numbers using 2's complement. 1. Given the two binary numbers X= 10011 and Y= 10010, perform the subtraction X-Y. 2. Given the two binary numbers X 100010 and Y= 100110, perform the subtraction X - Y.
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- A(n) __________ is an integer stored in double the normal number of bit positions.Convert the following two’s complement binary fixed-point numbers to base 10. The implied binary point is explicitly shown to aid in your interpretation. (Note: You should show all steps) 0110.1011 1111.1111By using 2’s Complement arithmetic, write the following decimal numbers to equivalent8-bit signed numbers and perform the addition. Write the final result after the addition by showing yoursteps. (check the image for reference) i. 6 ii. 14 iii. 15 iv. -6+ 3 + (-5) + (-25) + ( -9)
- The decimal number 30 may be represented using one of the following techniques to become an 8-bit binary number: Excess-M: a) the polar opposite of one's complement:True/False The number of distinct values represented in a 32-bit sign-magnitude binary representation is identical to the number of numbers represented in a 32 bit 2's complement notation.2. Convert the following two’s complement binary fixed-point number to base 10. The implied binary point is explicitly shown to aid in your interpretation. 011101.10101
- Add the following numbers in binary using 2's complement to represent negative numbers. Use a word length of 6 bits (including sign) and indicate if an overflow occurs. Repeat using 1's complement to represent negative numbers. (If overflow occurs, enter OVERFLOW.)Add the following numbers in binary using 2's complement to represent negative numbers. Use a word length of 6 bits (including sign) and indicate if an overflow occurs. Repeat for parts (a), (c), (d), and (e) using 1's complement to represent negative numbers. (Include the leading one for negative numbers in your answers. If overflow occurs, enter OVERFLOW.)1.7 Add the following numbers in binary using 2's complement to represent negative numbers. Use a word length of 6 bits (including sign) and indicate if an overflow occurs. (a) 21 + 11 (d) (−12) + 13 (e) (−11) + (−21) Repeat the question using 1's complement to represent negative numbers.
- Find the two's complement representations, using bit strings of length six, of the following integers. a)22 b)31 c) -7 d) -19Convert the following decimal numbers to binary 4-bit two’s complementrepresentations, or explain why the conversion is not possible.a. 3 b. -5 c. -101- Convert the following decimal numbers to 8-bit two’s complement numbers1. 4210 (Subscript of 10 for all integers)2. −63103. 124104. −128105. 133102- Convert the following decimal numbers to 6-bit two’s complement binarynumbers and add them.1. 1610 + 9102. 2710 + 31103. −410 + 19104. 310 + −32105. −1610 + −9103- Convert the following decimal numbers to 5-bit two’s complement binarynumbers and subtract them. Indicate whether or not the difference overflowsa 5-bit result.1. 910 − 7102. 1210 − 1510