Question

Represent the following 8-bit signed binary values in decimal: Show your work (2Points) a. 11000110 b. 00001101. 
Assume numbers are represented in signed 8-bit binary representation. Show the calculation of the following and check for overflow: Show your work (4 points)

Answer 1

1)
0) Given signed 8-bit binary number is T1000110 Here the lett most value is assigned for sign I is for negative y o is for positive lores Multiply each bit & the binary number by its pooding power of a that its place value represents.

1x3 + 0x25 +0x24 +0x2?+ 1x2 +1X2 + 0x2° 26 +2²+2' A 11 64+4+2 70 → And the sign is negative 11000110-(-70)

b) The Given 8-bit signed integer i in 00001101 tere left most digit is other of is Positive alla Pontopon ro ~ Oxf+0x2 + 0x² 4 +1+²+1x3²40x2²41x20 . = 242 +21 8 + 4+ 13 And the sign is positive (0000 1101) = (+13.10 (00001101), = (43)10 10 11
2)
216 13-0 2/13 (6-7 13-0 1-1 in 8-bit format +6 - 00000110 +13 = 00001101 In a's complement format -6 = III1010 -13 = U111001/ @. 6 +13 0 0 O 0 6 O OOO ITO Neo (positive number) 2=0 (Non-zero number) c 20 (no carry) N20 (NO Overflow t 13 = 0001001 29 6 -6 +13 0 0 0 0 -6 = 1 1 1 1 1 0 1 0 N:0 +13 0 0 6o o 1 1 = o (positive number) c=1 (carry occurs) 2:0 (Non-zero number) V-101=0. (No overflow). +7 0 0 0 0 0 1 1 1

©. 6-13 0 0 0 1 t6 o N=1 (Negative number o 1 0 1 1 -13 1 1 1 2-0 (Non-2010) c=0 (No carry) 1 ) 1 -7 col foro on) o TA 17 . -6-13 0 -6- 1 0 0 1 1 1 0 1 1 N=1 (Negative nuber) 2=0 (Non-zero) e=1 (carry occurs) V=101=0 (No over flow) O' 1 11 111011 -13 = -29 -