Add the following signed binary numbers using 2"s Complement a. (1011)2 + (0010)2 b. (01101)2 + (01110)2

Convert the following one's complement signed 8-bit numbers into decimal. Be sure to show all of your work. (a) (0000 1010) 2 (b) (1111 1010) 2 (c) (0111 1010) 2 (d) (1111 1111) 2

Find the 1’s and 2’s complements of the following binary numbers: 101100 and 101111.

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

Write -8 to +7 numbers in binary using 2’s complement.

Please solve and show all work and steps. What decimal number does the bit pattern (0A000000)16 represent if it is a floating-point number? Use the IEEE 754 standard.

Convert the following numbers from decimal to binary, assuming six-bit two's complement binary representation. Note: If your answer does not have 6-bits in it, then it will be incorrect? a) 23 b) -27 c) 0 d) -1

3. Perform the following operations involving four-bit 2's complement numbers and indicate whether arithmetic overflow occurs. Verify your answers by converting to decimal sign- magnitude representation. 0011 +0100 0101 +0110 0101 + 1010 1011 +0110 1101 + 1100 1011 + 1010

Fill up the table in binary form for 4-bit number. Decimal +8 +7 +6 +5 +4 +3 +2 +1 +0 -0 -1 -2 -3 -4 -5 -6 -7 -8 SM 0111 0110 0101 0100 OC 0111 0110 0101 0100 TC 0111 0110 0101 0100 Excess-7 1110 1101 1100 1011

subtract the following signed binary numbers (using 8 bits for the binary representation) as shown using 2s compliment. -27-10=