Cs101 Binary Number Into Decimal

Question No. 1: Convert the following Binary Number into Decimal Numbers. Show full procedure a.

(1110010) 2

Solution (1110010) 2

= 1x 26+1x 25+1x 24+0x 23+0 x 22+1x 21+0x 20 = 64+32+16+0+0+2+0 = (114) 10

b. (10001100)2 Solution (10001100)2 =1x 27+0x 26+0x 25+0x 24+1x 23+1 x 22+0x 21+0x 20 = 128+0+0+0+8+4+0+0 = (140) 10 Question No. 2: Convert the following Decimal Numbers into Binary Numbers. Show complete procedure. a. 75 Solution 2 2 2 2 2 2 2

75 37 18 9 4 2 1 (75)10 = (1001011)2

1 1 0 1 0 0

b. 120 Solution 2 2 2 2 2 2

120 60 30 15 7 3 1 (120)10 = (1111000)2

0 0 0 1 1 1

Question No. 3: You are given there three Boolean variables as truth table for the expression given below.

x, y and z. Determine the

( x XOR y )’ . z Solution

x

y

z

x XOR y

(x XOR y)’

0 0 0 0 1 1 1 1

0 0 1 1 0 0 1 1

0 1 0 1 0 1 0 1

0 0 1 1 1 1 0 0

1 1 0 0 0 0 1 1

(x XOR y)’. z 0 1 0 0 0 0 0 1